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0707.1930
Gang Bao
Gang Bao, Wei-Tou Ni, D. N. A. Shaul, H. M. Araujo, Lei Liu, T. J. Sumner
Improved Simulation of the Mass Charging for ASTROD I
20 pages, 14 figures, submitted to International Journal of Modern Physics D
INTERNATIONAL JOURNAL OF MODERN PHYSICS D, Vol.17, No.7, 965 (July 2008)
10.1142/S0218271808012632
null
astro-ph
null
The electrostatic charging of the test mass in ASTROD I (Astrodynamical Space Test of Relativity using Optical Devices I) mission can affect the quality of the science data as a result of spurious Coulomb and Lorentz forces. To estimate the size of the resultant disturbances, credible predictions of charging rates and the charging noise are required. Using the GEANT4 software toolkit, we present a detailed Monte Carlo simulation of the ASTROD I test mass charging due to exposure of the spacecraft to galactic cosmic-ray (GCR) protons and alpha particles (3He, 4He) in the space environment. A positive charging rate of 33.3 e+/s at solar minimum is obtained. This figure reduces by 50% at solar maximum. Based on this charging rate and factoring in the contribution of minor cosmic-ray components, we calculate the acceleration noise and stiffness associated with charging. We conclude that the acceleration noise arising from Coulomb and Lorentz effects are well below the ASTROD I acceleration noise limit at 0.1 mHz both at solar minimum and maximum. The coherent Fourier components due to charging are investigated, it needs to be studied carefully in order to ensure that these do not compromise the quality of science data in the ASTROD I mission.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 06:59:51 GMT" } ]
2015-05-13T00:00:00
[ [ "Bao", "Gang", "" ], [ "Ni", "Wei-Tou", "" ], [ "Shaul", "D. N. A.", "" ], [ "Araujo", "H. M.", "" ], [ "Liu", "Lei", "" ], [ "Sumner", "T. J.", "" ] ]
0707.1931
Shun-Ichiro Koh
Shun-ichiro Koh
Shear viscosity and Bose statistics: Capillary flow above lambda point
32pages, 7figures
null
null
null
cond-mat.supr-con cond-mat.stat-mech
null
The gradual fall of the shear viscosity below 2.8K, observed in a liquid helium 4 flowing through a capillary, is examined. The disappearance of the shear viscosity in a capillary flow is a manifestation of superfluidity in dissipative phenomena, the onset mechanism of which is a subtle problem compared to that of superfluidity in non-dissipative phenomena. Applying the linear-response theory to the reciprocal of the shear viscosity coefficient, we relate these two types of superfluidity using the Kramers-Kronig relation. We obtain a formula describing the influence of Bose statistics on the kinematic shear viscosity in terms of the susceptibility. Compared to an ordinary liquid, a liquid helium 4 above the lambda point has a 1/1000 times smaller shear viscosity coefficient. Hence, although in the normal phase, it is already an anomalous liquid under the strong influence of Bose statistics. The coherent many-body wave function grows to an intermediate size between a macroscopic and a microscopic one, not as a thermal fluctuation but as a thermal equilibrium state. Beginning with bosons without the condensate, we make a perturbation calculation of its susceptibility with respect to the repulsive interaction. We examine how, with decreasing temperature, the growth of the coherent wave function gradually suppresses the shear viscosity, and finally leads to a frictionless flow at the lambda-point.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 06:59:59 GMT" } ]
2007-07-16T00:00:00
[ [ "Koh", "Shun-ichiro", "" ] ]
0707.1932
Gilberto Medeiros Kremer
Guillermo Chac\'on--Acosta, Gilberto M. Kremer
Fokker-Planck type equations for a simple gas and for a semi-relativistic Brownian motion from a relativistic kinetic theory
To appear in PRE
Physical Review E 76, 021201 (2007)
10.1103/PhysRevE.76.021201
null
cond-mat.stat-mech
null
A covariant Fokker-Planck type equation for a simple gas and an equation for the Brownian motion are derived from a relativistic kinetic theory based on the Boltzmann equation. For the simple gas the dynamic friction four-vector and the diffusion tensor are identified and written in terms of integrals which take into account the collision processes. In the case of Brownian motion, the Brownian particles are considered as non-relativistic whereas the background gas behaves as a relativistic gas. A general expression for the semi-relativistic viscous friction coefficient is obtained and the particular case of constant differential cross-section is analyzed for which the non-relativistic and ultra relativistic limiting cases are calculated.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 07:24:48 GMT" } ]
2010-11-19T00:00:00
[ [ "Chacón--Acosta", "Guillermo", "" ], [ "Kremer", "Gilberto M.", "" ] ]
0707.1933
Yong-Wan Kim
Yun Soo Myung, Yong-Wan Kim, and Young-Jai Park
New attractor mechanism for spherically symmetric extremal black holes
20 pages, 4 figures, Accepted for publication in Physical Review D. This version includes revisions suggested by the referee
Phys.Rev.D76:104045,2007
10.1103/PhysRevD.76.104045
null
hep-th gr-qc
null
We introduce a new attractor mechanism to find the entropy for spherically symmetric extremal black holes. The key ingredient is to find a two-dimensional (2D) dilaton gravity with the dilaton potential $V(\phi)$. The condition of an attractor is given by $\nabla^2\phi=V(\phi_0)$ and $\bar{R}_2=-V^{\prime}(\phi_0)$ and for a constant dilaton $ \phi=\phi_0$, these are also used to find the location of the degenerate horizon $r=r_{e}$ of an extremal black hole. As a nontrivial example, we consider an extremal regular black hole obtained from the coupled system of Einstein gravity and nonlinear electrodynamics. The desired Bekenstein-Hawking entropy is successfully recovered from the generalized entropy formula combined with the 2D dilaton gravity, while the entropy function approach does not work for obtaining this entropy.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 07:25:57 GMT" }, { "version": "v2", "created": "Fri, 5 Oct 2007 09:03:48 GMT" } ]
2008-11-26T00:00:00
[ [ "Myung", "Yun Soo", "" ], [ "Kim", "Yong-Wan", "" ], [ "Park", "Young-Jai", "" ] ]
0707.1934
Andreas Seeger
Gustavo Garrigos and Andreas Seeger
On plate decompositions of cone multipliers
This is the revised version to appear in the proceedings of the Edinburgh Mathematical Society
Proceedings of the Edinburgh Mathematical Society, 52 (2009), 1-21.
null
null
math.CA
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
An important inequality due to Wolff on plate decompositions of cone multipliers is known to have consequences for a variety of problems in harmonic analysis. We observe that the range in Wolff's inequality, for the conic and the spherical versions, can be improved by using bilinear restriction results. We also use this inequality to give some improved estimates on square functions associated to decompositions of cone multipliers in low dimensions. This gives a new L^4 bound for the cone multiplier operator in three dimensions.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 07:29:07 GMT" }, { "version": "v2", "created": "Thu, 26 Jun 2008 22:12:58 GMT" } ]
2010-03-15T00:00:00
[ [ "Garrigos", "Gustavo", "" ], [ "Seeger", "Andreas", "" ] ]
0707.1935
Boris Hage
B. Hage, A. Franzen, J. DiGuglielmo, P. Marek, J. Fiur\'a\v{s}ek and R. Schnabel
On the distillation and purification of phase-diffused squeezed states
null
New J. Phys. 9 (2007) 227
10.1088/1367-2630/9/7/227
null
quant-ph
null
Recently it was discovered that non-Gaussian decoherence processes, such as phase-diffusion, can be counteracted by purification and distillation protocols that are solely built on Gaussian operations. Here, we make use of this experimentally highly accessible regime, and provide a detailed experimental and theoretical analysis of several strategies for purification/distillation protocols on phase-diffused squeezed states. Our results provide valuable information for the optimization of such protocols with respect to the choice of the trigger quadrature, the trigger threshold value and the probability of generating a distilled state.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 07:49:14 GMT" }, { "version": "v2", "created": "Tue, 17 Jul 2007 06:59:00 GMT" } ]
2007-07-17T00:00:00
[ [ "Hage", "B.", "" ], [ "Franzen", "A.", "" ], [ "DiGuglielmo", "J.", "" ], [ "Marek", "P.", "" ], [ "Fiurášek", "J.", "" ], [ "Schnabel", "R.", "" ] ]
0707.1936
Richard Hill
Richard Hill
A reinterpretation of Emerton's $p$-adic Banach spaces
7 pages
null
null
null
math.NT
null
It is shown that the $p$-adic Banach spaces introduced by Emerton are isomorphic to the cohomology groups of the sheaf of continuous $\Q_{p}$-valued functions on a certain space. Some applications of this result are discussed.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 17:12:11 GMT" }, { "version": "v2", "created": "Sat, 14 Jul 2007 13:41:12 GMT" } ]
2007-07-16T00:00:00
[ [ "Hill", "Richard", "" ] ]
0707.1937
Catherine Cress
S. E. Bryan and C. M. Cress
Figure rotation of dark halos in CDM simulations
accepted to MNRAS, 8 pages
null
10.1111/j.1365-2966.2007.12096.x
null
astro-ph
null
We investigate the figure rotation of dark matter halos identified in Lambda CDM simulations. We find that when strict criteria are used to select suitable halos for study, 5 of the 222 halos identified in our z=0 simulation output undergo coherent figure rotation over a 5h^{-1}Gyr period. We discuss the effects of varying the selection criteria and find that pattern speeds for a much larger fraction of the halos can be measured when the criteria are relaxed. Pattern speeds measured over a 1h^{-1}Gyr period follow a log-normal distribution, centred at Omega_p = 0.25h rad/Gyr with a maximum value of 0.94h rad/Gyr. Over a 5h^{-1}Gyr period, the average pattern speed of a halo is about 0.1h rad/Gyr and the largest pattern speed found is 0.24h rad/Gyr. Less than half of the selected halos showed alignment between their figure rotation axis and minor axis, the exact fraction being somewhat dependent on how one defines a halo. While the pattern speeds observed are lower than those generally thought capable of causing spiral structure, we note that coherent figure rotation is found over very long periods and argue that further simulations would be required before strong conclusions about spiral structure in all galaxies could be drawn. We find no correlation between halo properties such as total mass and the pattern speed.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 08:40:23 GMT" } ]
2009-11-13T00:00:00
[ [ "Bryan", "S. E.", "" ], [ "Cress", "C. M.", "" ] ]
0707.1938
Mikhail Kashchenko
M.P. Kashchenko, V.G.Chashchina
The Material Orientation Relationship for the BCC-HCP Transition
7 pages, 3 figures
null
null
null
cond-mat.mtrl-sci
null
The dynamical model of forming of martensitic crystals for the bcc-hcp transition is offered. It is shown that all macroscopic morphological characters (the habit plane, the macroshear and the orientational relationship) are expressed through elastic moduluses Cij of an initial bcc phase.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 08:29:47 GMT" } ]
2007-07-16T00:00:00
[ [ "Kashchenko", "M. P.", "" ], [ "Chashchina", "V. G.", "" ] ]
0707.1939
Bj\"orn Leder
Bjorn Leder
The Schroedinger functional for Gross-Neveu models
Ph.D. Thesis (Advisor: Dr. Rainer Sommer)
null
null
HU-EP-07/57
hep-lat
null
Gross-Neveu type models with a finite number of fermion flavours are studied on a two-dimensional Euclidean space-time lattice. The models are asymptotically free and are invariant under a chiral symmetry. These similarities to QCD make them perfect benchmark systems for fermion actions used in large scale lattice QCD computations. The Schroedinger functional for the Gross-Neveu models is defined for both, Wilson and Ginsparg-Wilson fermions, and shown to be renormalisable in 1-loop lattice perturbation theory. In two dimensions four fermion interactions of the Gross-Neveu models have dimensionless coupling constants. The symmetry properties of the four fermion interaction terms and the relations among them are discussed. For Wilson fermions chiral symmetry is explicitly broken and additional terms must be included in the action. Chiral symmetry is restored up to cut-off effects by tuning the bare mass and one of the couplings. The critical mass and the symmetry restoring coupling are computed to second order in lattice perturbation theory. This result is used in the 1-loop computation of the renormalised couplings and the associated beta-functions. The renormalised couplings are defined in terms of suitable boundary-to-boundary correlation functions. In the computation the known first order coefficients of the beta-functions are reproduced. One of the couplings is found to have a vanishing beta-function. The calculation is repeated for the recently proposed Schroedinger functional with exact chiral symmetry, i.e. Ginsparg-Wilson fermions. The renormalisation pattern is found to be the same as in the Wilson case. Using the regularisation dependent finite part of the renormalised couplings, the ratio of the Lambda-parameters is computed.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 15:30:40 GMT" } ]
2011-11-10T00:00:00
[ [ "Leder", "Bjorn", "" ] ]
0707.1940
Fr\'ed\'eric Pont
F. Pont, R. L. Gilliland, C. Moutou, F. Bouchy, T. M. Brown, D. Charbonneau, M. Mayor, D. Queloz, N. Santos, S. Udry
Hubble Space Telescope times-series photometry of the planetary transit of HD189733: no moon, no rings, starspots
revised version. Significant updates and new figures; to appear in Astronomy and Astrophysics
null
10.1051/0004-6361:20078269
null
astro-ph
null
We monitored three transits of the giant gas planet around the nearby K dwarf HD 189733 with the ACS camera on the Hubble Space Telescope. The resulting very-high accuracy lightcurve (signal-to-noise ratio near 15000 on individual measurements, 35000 on 10-minute averages) allows a direct geometric measurement of the orbital inclination, radius ratio and scale of the system: i = 85.68 +- 0.04, Rpl/R*=0.1572 +- 0.0004, a/R*=8.92 +- 0.09. We derive improved values for the stellar and planetary radius, R*=0.755+- 0.011 Rsol, Rpl=1.154 +- 0.017 RJ, and the transit ephemerides, Ttr=2453931.12048 +- 0.00002 + n 2.218581 +- 0.000002$. The HST data also reveal clear evidence of the planet occulting spots on the surface of the star. At least one large spot complex (>80000 km) is required to explain the observed flux residuals and their colour evolution. This feature is compatible in amplitude and phase with the variability observed simultaneously from the ground. No evidence for satellites or rings around HD 189733b is seen in the HST lightcurve. This allows us to exlude with a high probability the presence of Earth-sized moons and Saturn-type debris rings around this planet. The timing of the three transits sampled is stable to the level of a few seconds, excluding a massive second planet in outer 2:1 resonance.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 09:00:29 GMT" }, { "version": "v2", "created": "Wed, 26 Sep 2007 11:47:29 GMT" } ]
2009-11-13T00:00:00
[ [ "Pont", "F.", "" ], [ "Gilliland", "R. L.", "" ], [ "Moutou", "C.", "" ], [ "Bouchy", "F.", "" ], [ "Brown", "T. M.", "" ], [ "Charbonneau", "D.", "" ], [ "Mayor", "M.", "" ], [ "Queloz", "D.", "" ], [ "Santos", "N.", "" ], [ "Udry", "S.", "" ] ]
0707.1941
Shin'ichi Nojiri
Shin'ichi Nojiri and Sergei D. Odintsov
Unifying inflation with LambdaCDM epoch in modified f(R) gravity consistent with Solar System tests
LaTeX 8 pages, version to appear in PLB, Appendix is added
Phys.Lett.B657:238-245,2007
10.1016/j.physletb.2007.10.027
null
hep-th astro-ph gr-qc
null
We suggest two realistic f(R) and one F(G) modified gravities which are consistent with local tests and cosmological bounds. The typical property of such theories is the presence of the effective cosmological constant epochs in such a way that early-time inflation and late-time cosmic acceleration are naturally unified within single model. It is shown that classical instability does not appear here and Newton law is respected. Some discussion of possible anti-gravity regime appearence and related modification of the theory is done.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 08:45:51 GMT" }, { "version": "v2", "created": "Sun, 14 Oct 2007 09:49:45 GMT" } ]
2010-04-06T00:00:00
[ [ "Nojiri", "Shin'ichi", "" ], [ "Odintsov", "Sergei D.", "" ] ]
0707.1942
Martin Hardcastle
J. L. Goodger, M. J. Hardcastle and J. H. Croston
Inverse-Compton emission from the lobes of 3C353
5 pages; to appear in "Extragalactic Jets: Theory and Observation from Radio to Gamma Ray", eds. T. A. Rector and D. S. De Young, ASP conference series
null
10.1111/j.1365-2966.2008.13028.x
null
astro-ph
null
Analysis of the radio synchrotron and X-ray inverse-Compton emission from radio-loud active galaxies allows us to determine their particle acceleration processes and electron energy spectra. Previous studies have provided new constraints on the total energy budget and particle content of powerful radio galaxies and quasars; however, in most cases the sources are too faint in the X-ray to obtain spatial information. We present archival and new multi-frequency radio observations from the VLA and GMRT, and XMM-Newton observations of the bright FRII radio galaxy 3C353 which lies on the edge of the X-ray-luminous cluster Zw 1718.1-0108. The X-ray observations detect both the inverse-Compton emission from the radio galaxy lobes and thermal emission from the hot phase of the intracluster medium. We discuss the properties of the particle energy spectrum as a function of position in the lobe, as well as the properties of the merging cluster.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 08:55:33 GMT" } ]
2009-11-13T00:00:00
[ [ "Goodger", "J. L.", "" ], [ "Hardcastle", "M. J.", "" ], [ "Croston", "J. H.", "" ] ]
0707.1943
Christian Corda cordac
Christian Corda
Analysis of the transverse effect of Einstein's gravitational waves
Review paper, accepted for the International Journal of Modern Physics A
Int.J.Mod.Phys.A22:4859-4881,2007
10.1142/S0217751X07037172
null
gr-qc
null
The investigation of the transverse effect of gravitational waves (GWs) could constitute a further tool to discriminate among several relativistic theories of gravity on the ground. After a review of the TT gauge, the transverse effect of GWs arising by standard general relativity (called Einstein's GWs in this paper) is reanalized with a different choice of coordinates. In the chosen gauge test masses have an apparent motion in the direction of propagation of the wave, while in the transverse direction they appear at rest. Of course, this is only a gauge artefact. In fact, from careful investigation of this particular gauge, it is shown that the tidal forces associated with GWs act along the directions orthogonal to the direction of propagation of waves. In the analysis it is also shown, in a heuristic way, that the transverse effect of Einstein's GWs arises from the propagation of the waves at the speed of the light, thus only massless GWs are purely transverse. But, because the physics of gravitational waves has to be investigated by studing the tidal forces as appearing in the geodesic deviation equation and directly in a laboratory environment on Earth, an analysis of these tidal forces and of the transverse effect in the frame of the local observer is also performed. After this, for a further better understanding of the transverse effect, an example of a wave, which arises from scalar tensor gravity, with both transverse and genuinely longitudinal modes is given and discussed. In the example the connection between the longitudinal component and the velocity of the wave will be mathematical shown. At the end of this paper the review of the TT gauge is completed, recovering the gauge invariance between the presented gauge and the TT one.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 09:11:07 GMT" } ]
2008-11-26T00:00:00
[ [ "Corda", "Christian", "" ] ]
0707.1944
Holger Baumgardt
Holger Baumgardt, Pavel Kroupa
A comprehensive set of simulations studying the influence of gas expulsion on star cluster evolution
12 pages, 9 figures, MNRAS accepted
null
10.1111/j.1365-2966.2007.12209.x
null
astro-ph
null
We have carried out a large set of N-body simulations studying the effect of residual-gas expulsion on the survival rate and final properties of star clusters. We have varied the star formation efficiency, gas expulsion timescale and strength of the external tidal field, obtaining a three-dimensional grid of models which can be used to predict the evolution of individual star clusters or whole star cluster systems by interpolating between our runs. The complete data of these simulations is made available on the Internet. Our simulations show that cluster sizes, bound mass fraction and velocity profile are strongly influenced by the details of the gas expulsion. Although star clusters can survive star formation efficiencies as low as 10% if the tidal field is weak and the gas is removed only slowly, our simulations indicate that most star clusters are destroyed or suffer dramatic loss of stars during the gas removal phase. Surviving clusters have typically expanded by a factor 3 or 4 due to gas removal, implying that star clusters formed more concentrated than as we see them today. Maximum expansion factors seen in our runs are around 10. If gas is removed on timescales smaller than the initial crossing time, star clusters acquire strongly radially anisotropic velocity dispersions outside their half-mass radii. Observed velocity profiles of star clusters can therefore be used as a constraint on the physics of cluster formation.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 09:19:47 GMT" } ]
2009-11-13T00:00:00
[ [ "Baumgardt", "Holger", "" ], [ "Kroupa", "Pavel", "" ] ]
0707.1945
Ozay Gurtug
Ozay Gurtug and Mustafa Halilsoy
Effect of NUT parameter on the analytic extension of the Cauchy horizon that develop in colliding wave spacetimes
26 pages. 3 ps figures
IJMPA, 24 (2009) 3171.
10.1142/S0217751X09044243
null
gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The Cauchy horizon forming colliding wave solution due to Chandrasekhar and Xanthopoulos (CX) has been generalized by inclusion of the NUT (Newman - Unti - Tamburino) parameter. This is done by transforming the part of the inner horizon region of a Kerr-Newman-NUT black hole into the space of colliding waves. By taking appropriate combination of Killing vectors and analytically extending beyond the Cauchy horizon the time-like hyperbolic sigularities are resolved as well. This provides another example of its kind among the type - D metrics with special emphasis on the role of the NUT parameter. Finally, it is shown that horizons of colliding higher dimensional plane waves obtained from the black p-branes undergoes a similar procedure of analytic extension.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 09:16:11 GMT" }, { "version": "v2", "created": "Tue, 16 Dec 2008 02:59:41 GMT" } ]
2015-05-13T00:00:00
[ [ "Gurtug", "Ozay", "" ], [ "Halilsoy", "Mustafa", "" ] ]
0707.1946
Isabel Fernandez
Isabel Fernandez and Francisco J. Lopez
The uniqueness of the helicoid in the Lorentz-Minkowski space L3
Corrected gap in the proof of former Corollary 5.1
null
null
null
math.DG
null
In this paper we deal with the uniqueness of the Lorentzian helicoid and Enneper's surface among properly embedded maximal surfaces with lightlike boundary of mirror symmetry in the Lorentz-Minkowski space L3.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 09:47:58 GMT" }, { "version": "v2", "created": "Tue, 25 Sep 2007 18:27:39 GMT" }, { "version": "v3", "created": "Tue, 4 Dec 2007 12:42:29 GMT" } ]
2007-12-04T00:00:00
[ [ "Fernandez", "Isabel", "" ], [ "Lopez", "Francisco J.", "" ] ]
0707.1947
Yu Xin
Yu Xin, Runyao Duan
Conditions for entanglement transformation between a class of multipartite pure states with generalized Schmidt decompositions
3 pages (Revetex 4), no figures. A brief note on entanglement transformation. Comments are welcome
Phys.Rev.A 76, 044301 (2007)
10.1103/PhysRevA.76.044301
null
quant-ph
null
In this note we generalize Nielsen's marjoization criterion for the convertibility of bipartite pure states [Phys. Rev. Lett \textbf{83}, 436(1999)] to a special class of multipartite pure states which have generalized Schmidt decompositions.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 09:18:17 GMT" }, { "version": "v2", "created": "Mon, 8 Oct 2007 14:37:18 GMT" } ]
2009-11-13T00:00:00
[ [ "Xin", "Yu", "" ], [ "Duan", "Runyao", "" ] ]
0707.1948
Tomohiro Matsuda
Tomohiro Matsuda
NO Curvatons or Hybrid Quintessential Inflation
12 pages, no figure, added references
JCAP0708:003,2007
10.1088/1475-7516/2007/08/003
null
hep-ph astro-ph hep-th
null
We consider a curvaton scenario in which the late-time domination and the generation of the curvature perturbation is achieved by a non-oscillatory (NO) curvaton potential. Instead of considering the conventional curvaton oscillation, we consider ``weak trapping'' after preheating, which modifies the evolution of the curvaton density after preheating. The primordial isocurvature perturbation related to the curvaton is once converted into the fluctuation of the number density of the preheat field through inhomogeneous preheating. Then the evolution of the curvatons and the preheat field is controlled by the preheat-field number density. The density of these fields decreases slightly slower than the standard matter density which suggests that these fields will grow with time. Finally, the preheat field decays to reheat the Universe leaving behind the curvature perturbation. In our scenario the task of the standard curvaton is not executed solely by the curvaton itself but is partially shared with the preheat field. NO curvatons can be considered as the hybrid version of the quintessential inflationary model.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 09:22:20 GMT" }, { "version": "v2", "created": "Sun, 15 Jul 2007 06:06:30 GMT" }, { "version": "v3", "created": "Fri, 27 Jul 2007 14:43:45 GMT" } ]
2008-11-26T00:00:00
[ [ "Matsuda", "Tomohiro", "" ] ]
0707.1949
D. P. Roy
D. P. Roy
SUSY Search in Future Collider and Dark Matter Experiments
12 pages pdf file, To appear in Proc 2nd Intl Workshop on Theoretical High Energy Physics, Roorkee, India, AIP Press (2007)
AIPConf.Proc.939:63-74,2007
10.1063/1.2803788
null
hep-ph
null
The lightest superparticle in the MSSM is expected to be a Bino, Higgsino or Wino. We consider the dark matter abundance constraint on these LSP scenarios in the minimal SUGRA and AMSB models. We discuss the resulting collider signals for the Bino LSP at LHC and the Higgsino and Wino LSP at CLIC. The Bino, Higgsino and Wino LSP signals in dark matter experiments are also discussed briefly. We conclude with a discussion of these LSP scenarios in nonminimal SUSY models.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 09:34:19 GMT" } ]
2008-11-26T00:00:00
[ [ "Roy", "D. P.", "" ] ]
0707.1950
Evgeny Sklyanin
Vadim Kuznetsov and Evgeny Sklyanin
B\"acklund Transformation for the BC-Type Toda Lattice
This is a contribution to the Vadim Kuznetsov Memorial Issue on Integrable Systems and Related Topics, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
SIGMA 3 (2007), 080, 17 pages
10.3842/SIGMA.2007.080
null
nlin.SI math-ph math.MP
null
We study an integrable case of n-particle Toda lattice: open chain with boundary terms containing 4 parameters. For this model we construct a B\"acklund transformation and prove its basic properties: canonicity, commutativity and spectrality. The B\"acklund transformation can be also viewed as a discretized time dynamics. Two Lax matrices are used: of order 2 and of order 2n+2, which are mutually dual, sharing the same spectral curve.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 09:38:55 GMT" }, { "version": "v2", "created": "Thu, 26 Jul 2007 04:46:26 GMT" } ]
2008-04-24T00:00:00
[ [ "Kuznetsov", "Vadim", "" ], [ "Sklyanin", "Evgeny", "" ] ]
0707.1951
M. Angeles Perez Garcia
M. Angeles Perez-Garcia, K. Tsushima, A. Valcarce
Binding energies and modelling of nuclei in semiclassical simulations
10 pages, 5 figures. Manuscript final version. Accepted for publication in Physics Letters B
Phys.Lett.B660:600-603,2008
10.1016/j.physletb.2008.01.041
null
nucl-th astro-ph
null
We study the binding energies of spin-isospin saturated nuclei with nucleon number $8 \le A \le 100$ in semiclassical Monte Carlo many-body simulations. The model Hamiltonian consists of, (i) nucleon kinetic energy, (ii) a nucleon-nucleon interaction potential, and (iii) an effective Pauli potential which depends on density. The basic ingredients of the nucleon-nucleon potential are, a short-range repulsion, and a medium-range attraction. Our results demonstrate that one can always expect to obtain the empirical binding energies for a set of nuclei by introducing a proper density dependent Pauli potential. The present work suggests a simple, pragmatic procedure for modelling a set of nuclei calibrated by the empirical binding energies for a given NN interaction potential. Then, each set of modelled nuclei can be tested by studying other properties of nuclei in semiclassical simulations.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 09:45:11 GMT" }, { "version": "v2", "created": "Sun, 27 Jan 2008 18:56:28 GMT" } ]
2008-11-26T00:00:00
[ [ "Perez-Garcia", "M. Angeles", "" ], [ "Tsushima", "K.", "" ], [ "Valcarce", "A.", "" ] ]
0707.1952
Jifeng Chu, Donal O'Regan and Meirong Zhang
Jifeng Chu, Donal O'Regan and Meirong Zhang
Existence of positive solutions for nonlinear systems
10 pages
null
null
null
math.AP
null
This paper deals with the existence of positive solutions for the nonlinear system q(t)\phi(p(t)u'_{i}(t)))'+f^{i}(t,\textbf{u})=0,\quad 0<t<1,\quad i=1,2,...,n. This system often arises in the study of positive radial solutions of nonlinear elliptic system. Here $\textbf{u}=(u_{1},...,u_{n})$ and $f^{i}, i=1,2,...,n$ are continuous and nonnegative functions, $p(t), q(t)\hbox{\rm :} [0,1]\to (0,\oo)$ are continuous functions. Moreover, we characterize the eigenvalue intervals for (q(t)\phi(p(t)u'_{i}(t)))'+\lambda h_{i}(t)g^{i} (\textbf{u})=0, \quad 0<t<1,\quad i=1,2,...,n. The proof is based on a well-known fixed point theorem in cones.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 09:47:03 GMT" } ]
2007-07-16T00:00:00
[ [ "Chu", "Jifeng", "" ], [ "O'Regan", "Donal", "" ], [ "Zhang", "Meirong", "" ] ]
0707.1953
Maria Gloria Pini
Maria Gloria Pini and Angelo Rettori
Effect of antiferromagnetic exchange interactions on the Glauber dynamics of one-dimensional Ising models
5 figures. Phys. Rev. B (accepted July 12, 2007)
null
10.1103/PhysRevB.76.064407
null
cond-mat.mtrl-sci cond-mat.stat-mech
null
We study the effect of antiferromagnetic interactions on the single spin-flip Glauber dynamics of two different one-dimensional (1D) Ising models with spin $\pm 1$. The first model is an Ising chain with antiferromagnetic exchange interaction limited to nearest neighbors and subject to an oscillating magnetic field. The system of master equations describing the time evolution of sublattice magnetizations can easily be solved within a linear field approximation and a long time limit. Resonant behavior of the magnetization as a function of temperature (stochastic resonance) is found, at low frequency, only when spins on opposite sublattices are uncompensated owing to different gyromagnetic factors (i.e., in the presence of a ferrimagnetic short range order). The second model is the axial next-nearest neighbor Ising (ANNNI) chain, where an antiferromagnetic exchange between next-nearest neighbors (nnn) is assumed to compete with a nearest-neighbor (nn) exchange interaction of either sign. The long time response of the model to a weak, oscillating magnetic field is investigated in the framework of a decoupling approximation for three-spin correlation functions, which is required to close the system of master equations. The calculation, within such an approximate theoretical scheme, of the dynamic critical exponent z, defined as ${1/\tau} \approx ({1/ {\xi}})^z$ (where \tau is the longest relaxation time and \xi is the correlation length of the chain), suggests that the T=0 single spin-flip Glauber dynamics of the ANNNI chain is in a different universality class than that of the unfrustrated Ising chain.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 09:48:02 GMT" } ]
2009-11-13T00:00:00
[ [ "Pini", "Maria Gloria", "" ], [ "Rettori", "Angelo", "" ] ]
0707.1954
Alessandro Nordio
A. Nordio, C.-F. Chiasserini, E. Viterbo
Bandlimited Field Reconstruction for Wireless Sensor Networks
null
null
null
null
cs.OH
null
Wireless sensor networks are often used for environmental monitoring applications. In this context sampling and reconstruction of a physical field is one of the most important problems to solve. We focus on a bandlimited field and find under which conditions on the network topology the reconstruction of the field is successful, with a given probability. We review irregular sampling theory, and analyze the problem using random matrix theory. We show that even a very irregular spatial distribution of sensors may lead to a successful signal reconstruction, provided that the number of collected samples is large enough with respect to the field bandwidth. Furthermore, we give the basis to analytically determine the probability of successful field reconstruction.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 09:54:54 GMT" } ]
2007-07-16T00:00:00
[ [ "Nordio", "A.", "" ], [ "Chiasserini", "C. -F.", "" ], [ "Viterbo", "E.", "" ] ]
0707.1955
Yongfu Su and Xiaolong Qin
Yongfu Su and Xiaolong Qin
Strong convergence of modified Ishikawa iterations for nonlinear mappings
11 pages
null
null
null
math.FA
null
In this paper, we prove a strong convergence theorem of modified Ishikawa iterations for relatively asymptotically nonexpansive mappings in Banach space. Our results extend and improve the recent results by Nakajo, Takahashi, Kim, Xu, Matsushita and some others.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 09:56:07 GMT" } ]
2007-07-16T00:00:00
[ [ "Su", "Yongfu", "" ], [ "Qin", "Xiaolong", "" ] ]
0707.1956
Thomas Wellens
Thomas Wellens, Benoit Gremaud
Nonlinear coherent transport of waves in disordered media
4 pages, 3 figures
null
10.1103/PhysRevLett.100.033902
null
cond-mat.mes-hall cond-mat.dis-nn
null
We present a diagrammatic theory for coherent backscattering from disordered dilute media in the nonlinear regime. The approach is non-perturbative in the strength of the nonlinearity. We show that the coherent backscattering enhancement factor is strongly affected by the nonlinearity, and corroborate these results by numerical simulations. Our theory can be applied to several physical scenarios like scattering of light in nonlinear Kerr media, or propagation of matter waves in disordered potentials.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 16:54:31 GMT" } ]
2009-11-13T00:00:00
[ [ "Wellens", "Thomas", "" ], [ "Gremaud", "Benoit", "" ] ]
0707.1957
Damien Chablat
Damien Chablat (IRCCyN), Philippe Wenger (IRCCyN)
Moveability and Collision Analysis for Fully-Parallel Manipulators
null
12th CISM-IFTOMM Symposium (07/1998) 1-8
null
null
cs.RO
null
The aim of this paper is to characterize the moveability of fully-parallel manipulators in the presence of obstacles. Fully parallel manipulators are used in applications where accuracy, stiffness or high speeds and accelerations are required \cite{Merlet:97}. However, one of its main drawbacks is a relatively small workspace compared to the one of serial manipulators. This is due mainly to the existence of potential internal collisions, and the existence of singularities. In this paper, the notion of free aspect is defined which permits to exhibit domains of the workspace and the joint space free of singularity and collision. The main application of this study is the moveability analysis in the workspace of the manipulator as well as path-planning, control and design.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 09:59:25 GMT" } ]
2007-07-16T00:00:00
[ [ "Chablat", "Damien", "", "IRCCyN" ], [ "Wenger", "Philippe", "", "IRCCyN" ] ]
0707.1958
Acetinkaya and Nozalp
A. Cetinkaya and N. Ozalp
Solutions for a class of iterated singular equations
7 pages
null
null
null
math.AP
null
Some fundamental solutions of radial type for a class of iterated elliptic singular equations including the iterated Euler equation are given.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 10:10:14 GMT" } ]
2007-07-16T00:00:00
[ [ "Cetinkaya", "A.", "" ], [ "Ozalp", "N.", "" ] ]
0707.1959
Christophe Chatelain
Jean-Charles Walter (LPM), Christophe Chatelain (LPM)
Logarithmic corrections in the aging of the fully-frustrated Ising model
12 pages, 9 figures
J. Stat. Mech. (2008) P07005
10.1088/1742-5468/2008/07/P07005
null
cond-mat.stat-mech
null
We study the dynamics of the critical two-dimensional fully-frustrated Ising model by means of Monte Carlo simulations. The dynamical exponent is estimated at equilibrium and is shown to be compatible with the value $z_c=2$. In a second step, the system is prepared in the paramagnetic phase and then quenched at its critical temperature $T_c=0$. Numerical evidences for the existence of logarithmic corrections in the aging regime are presented. These corrections may be related to the topological defects observed in other fully-frustrated models. The autocorrelation exponent is estimated to be $\lambda=d$ as for the Ising chain quenched at $T_c=0$.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 10:17:22 GMT" }, { "version": "v2", "created": "Wed, 28 May 2008 14:58:18 GMT" } ]
2008-07-12T00:00:00
[ [ "Walter", "Jean-Charles", "", "LPM" ], [ "Chatelain", "Christophe", "", "LPM" ] ]
0707.1960
Dimitar Stoyanov
Dimitar G. Stoyanov
A planar vacuum diode with electrons possessing velocity distribution function
10 pages, 2 figures; corrected typos. Submitted for consideration to the Journal of Applied Electromagnetism
Journal of Applied Electromagnetism (ISSN 1109-1606), Vol. 9, No 2, December 2007, pp 54-64, Athens-GREECE
null
null
physics.gen-ph physics.class-ph
null
The current-voltage characteristic of a planar vacuum diode with electrons possessing velocity distribution function during an emission from the cathode (electron beam) is theoretically considered in this article. The electron beam movement in the volume is examined. An integral-differential equation for the electric field potential is got in a correct form. A current-voltage characteristic of the diode for a model function of the velocity distribution of the emitted electrons is obtained.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 10:20:49 GMT" }, { "version": "v2", "created": "Tue, 17 Jul 2007 14:51:11 GMT" } ]
2008-05-14T00:00:00
[ [ "Stoyanov", "Dimitar G.", "" ] ]
0707.1961
Ali Ghaffari
Ali Ghaffari
Ergodic theory of amenable semigroup actions
9 pages
null
null
null
math.DS math.FA
null
In this paper, among other things, we state and prove the mean ergodic theorem for amenable semigroup algebras.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 10:21:40 GMT" } ]
2007-07-16T00:00:00
[ [ "Ghaffari", "Ali", "" ] ]
0707.1962
K Gowri Navada
K Gowri Navada
Some further remarks on good sets
7 pages
null
null
null
math.FA
null
We show that in n-fold cartesian product, n >= 4, a related component need not be a full component. We also prove that when n >= 4, uniform boundedness of lengths of geodesics is not a necessary condition for boundedness of solutions of (1) for bounded function f.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 10:25:18 GMT" } ]
2007-07-16T00:00:00
[ [ "Navada", "K Gowri", "" ] ]
0707.1963
Piotr Fronczak
Piotr Fronczak, Agata Fronczak and Janusz A. Holyst
Kauffman Boolean model in undirected scale free networks
null
null
10.1103/PhysRevE.77.036119
null
cond-mat.dis-nn cond-mat.stat-mech
null
We investigate analytically and numerically the critical line in undirected random Boolean networks with arbitrary degree distributions, including scale-free topology of connections $P(k)\sim k^{-\gamma}$. We show that in infinite scale-free networks the transition between frozen and chaotic phase occurs for $3<\gamma < 3.5$. The observation is interesting for two reasons. First, since most of critical phenomena in scale-free networks reveal their non-trivial character for $\gamma<3$, the position of the critical line in Kauffman model seems to be an important exception from the rule. Second, since gene regulatory networks are characterized by scale-free topology with $\gamma<3$, the observation that in finite-size networks the mentioned transition moves towards smaller $\gamma$ is an argument for Kauffman model as a good starting point to model real systems. We also explain that the unattainability of the critical line in numerical simulations of classical random graphs is due to percolation phenomena.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 10:27:19 GMT" }, { "version": "v2", "created": "Tue, 24 Jul 2007 09:43:13 GMT" } ]
2013-05-29T00:00:00
[ [ "Fronczak", "Piotr", "" ], [ "Fronczak", "Agata", "" ], [ "Holyst", "Janusz A.", "" ] ]
0707.1964
Sanjay Kumar and Kanwar Jatinder Singh
Sanjay Kumar and Kanwar Jatinder Singh
Weighted composition operators on weighted Bergman spaces of bounded symmetric domains
11 pages
null
null
null
math.FA math.OA
null
In this paper, we study the weighted compositon operators on weighted Bergman spaces of bounded symmetric domains. The necessary and sufficient conditions for a weighted composition operator $W_{\phi,\psi}$ to be bounded and compact are studied by using the Carleson measure techniques. In the last section, we study the Schatten p-class weighted composition operators.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 10:32:28 GMT" } ]
2007-07-16T00:00:00
[ [ "Kumar", "Sanjay", "" ], [ "Singh", "Kanwar Jatinder", "" ] ]
0707.1965
Olivier C. Martin
Z. Burda, A. Krzywicki and O.C. Martin
Network of inherent structures in spin glasses: scaling and scale-free distributions
minor changes and references added
Phys. Rev. E 76, 051107 (2007).
10.1103/PhysRevE.76.051107
null
cond-mat.dis-nn cond-mat.stat-mech
null
The local minima (inherent structures) of a system and their associated transition links give rise to a network. Here we consider the topological and distance properties of such a network in the context of spin glasses. We use steepest descent dynamics, determining for each disorder sample the transition links appearing within a given barrier height. We find that differences between linked inherent structures are typically associated with local clusters of spins; we interpret this within a framework based on droplets in which the characteristic ``length scale'' grows with the barrier height. We also consider the network connectivity and the degrees of its nodes. Interestingly, for spin glasses based on random graphs, the degree distribution of the network of inherent structures exhibits a non-trivial scale-free tail.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 10:35:29 GMT" }, { "version": "v2", "created": "Tue, 9 Oct 2007 07:34:40 GMT" } ]
2009-11-13T00:00:00
[ [ "Burda", "Z.", "" ], [ "Krzywicki", "A.", "" ], [ "Martin", "O. C.", "" ] ]
0707.1966
A J Shaiju and Sheetal Dharmatti
A J Shaiju and Sheetal Dharmatti
Infinite dimensional differential games with hybrid controls
null
null
null
null
math.OC
null
A two-person zero-sum infinite dimensional differential game of infinite duration with discounted payoff involving hybrid controls is studied. The minimizing player is allowed to take continuous, switching and impulse controls whereas the maximizing player is allowed to take continuous and switching controls. By taking strategies in the sense of Elliott--Kalton, we prove the existence of value and characterize it as the unique viscosity solution of the associated system of quasi-variational inequalities.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 10:35:50 GMT" } ]
2009-09-29T00:00:00
[ [ "Shaiju", "A J", "" ], [ "Dharmatti", "Sheetal", "" ] ]
0707.1967
Rana Barua and Ashok Maitra
Rana Barua and Ashok Maitra
Borel hierarchies in infinite products of Polish spaces
7 pages
null
null
null
math.LO
null
Let H be a product of countably infinite number of copies of an uncountable Polish space X. Let $\Sigma_\xi$ $(\bar {\Sigma}_\xi)$ be the class of Borel sets of additive class \xi for the product of copies of the discrete topology on X (the Polish topology on X), and let ${\cal B} = \cup_{\xi < \omega_1} \bar{\Sigma}_\xi$. We prove in the L\'{e}vy--Solovay model that \bar{\Sigma}_\xi =\Sigma_{\xi}\cap {\cal B} for $1 \leq \xi < \omega_1$.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 10:40:42 GMT" } ]
2007-07-16T00:00:00
[ [ "Barua", "Rana", "" ], [ "Maitra", "Ashok", "" ] ]
0707.1968
Guang-hui Cai and Hang Wu
Guang-hui Cai and Hang Wu
Law of iterated logarithm for NA sequences with non-identical distributions
null
null
null
null
math.PR
null
Based on a law of the iterated logarithm for independent random variables sequences, an iterated logarithm theorem for NA sequences with non-identical distributions is obtained. The proof is based on a Kolmogrov-type exponential inequality.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 10:44:02 GMT" } ]
2007-07-16T00:00:00
[ [ "Cai", "Guang-hui", "" ], [ "Wu", "Hang", "" ] ]
0707.1969
Richard Hendricks
R. J. Hendricks, J. L. S{\o}rensen, C. Champenois, M. Knoop and M. Drewsen
Doppler cooling of calcium ions using a dipole-forbidden transition
4 pages, 4 figures, minor changes to commentary and references
null
10.1103/PhysRevA.77.021401
null
quant-ph
null
Doppler cooling of calcium ions has been experimentally demonstrated using the S1/2 to D5/2 dipole-forbidden transition. Scattering forces and fluorescence levels a factor of 5 smaller than for usual Doppler cooling on the dipole allowed S1/2 to P1/2 transition have been achieved. Since the light scattered from the ions can be monitored at (violet) wavelengths that are very different from the excitation wavelengths, single ions can be detected with an essentially zero background level. This, as well as other features of the cooling scheme, can be extremely valuable for ion trap based quantum information processing.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 10:52:42 GMT" }, { "version": "v2", "created": "Mon, 7 Jan 2008 10:04:02 GMT" } ]
2009-11-13T00:00:00
[ [ "Hendricks", "R. J.", "" ], [ "Sørensen", "J. L.", "" ], [ "Champenois", "C.", "" ], [ "Knoop", "M.", "" ], [ "Drewsen", "M.", "" ] ]
0707.1970
Kejie Fang
Kejie Fang, Bin Chen, Wei Xue
Non-commutative Geometry Modified Non-Gaussianities of Cosmological Perturbation
26 pages, 3 figures Added references, changed content
Phys.Rev.D77:063523,2008
10.1103/PhysRevD.77.063523
null
astro-ph hep-th
null
We investigate the noncommutative effect on the non-Gaussianities of primordial cosmological perturbation. In the lowest order of string length and slow-roll parameter, we find that in the models with small speed of sound the noncommutative modifications could be observable if assuming a relatively low string scale. In particular, the dominant modification of non-Gaussianity estimator f_{NL} could reach O(1) in DBI inflation and K-inflation. The corrections are sensitive to the speed of sound and the choice of string length scale. Moreover the shapes of the corrected non-Gaussianities are distinct from that of ordinary ones.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 16:26:11 GMT" }, { "version": "v2", "created": "Sun, 13 Jan 2008 04:26:19 GMT" } ]
2008-12-18T00:00:00
[ [ "Fang", "Kejie", "" ], [ "Chen", "Bin", "" ], [ "Xue", "Wei", "" ] ]
0707.1971
Mikio Kozuma
M. Arikawa, K. Honda, D. Akamatsu, Y. Yokoi, K. Akiba, S. Nagatsuka, A. Furusawa, and M. Kozuma
Observation of Electromagnetically Induced Transparency for a Squeezed Vacuum with the Time Domain Method
null
Optics Express, Vol. 15, Issue 19, pp. 11849-11854 (2007)
10.1364/OE.15.011849
null
quant-ph
null
A probe light in a squeezed vacuum state was injected into cold 87 $Rb atoms with an intense control light in a coherent state. A sub-MHz window was created due to electromagnetically induced transparency, and the incident squeezed vacuum could pass through the cold atoms without optical loss, as was successfully monitored using a time-domain homodyne method.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 11:00:51 GMT" }, { "version": "v2", "created": "Sun, 27 Jan 2008 12:59:48 GMT" } ]
2009-11-13T00:00:00
[ [ "Arikawa", "M.", "" ], [ "Honda", "K.", "" ], [ "Akamatsu", "D.", "" ], [ "Yokoi", "Y.", "" ], [ "Akiba", "K.", "" ], [ "Nagatsuka", "S.", "" ], [ "Furusawa", "A.", "" ], [ "Kozuma", "M.", "" ] ]
0707.1972
Stefan Haesen
Stefan Haesen and Miguel Ortega
Boost invariant marginally trapped surfaces in Minkowski 4-space
13 pages, comment added in section 2
Class.Quant.Grav.24:5441-5452,2007
10.1088/0264-9381/24/22/009
null
gr-qc
null
The extremal and partly marginally trapped surfaces in Minkowski 4-space, which are invariant under the group of boost isometries, are classified. Moreover, it is shown that there do not exist extremal surfaces of this kind with constant Gaussian curvature. A procedure is given in order to construct a partly marginally trapped surface by gluing two marginally trapped surfaces which are invariant under the group of boost isometries. As an application, a proper star-surface is constructed.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 11:07:08 GMT" }, { "version": "v2", "created": "Thu, 25 Oct 2007 07:30:33 GMT" } ]
2008-11-26T00:00:00
[ [ "Haesen", "Stefan", "" ], [ "Ortega", "Miguel", "" ] ]
0707.1973
Jeppe Johansen
J. Johansen, S. Stobbe, I.S. Nikolaev, T. Lund-Hansen, P.T. Kristensen, J.M. Hvam, W.L. Vos, and P. Lodahl
Size-Dependence of the Wavefunction of Self-Assembled Quantum Dots
5 pages, 3 figures
Phys. Rev. B, vol 77, page 073303, 2008
10.1103/PhysRevB.77.073303
null
cond-mat.other
null
The radiative and non-radiative decay rates of InAs quantum dots are measured by controlling the local density of optical states near an interface. From time-resolved measurements we extract the oscillator strength and the quantum efficiency and their dependence on emission energy. From our results and a theoretical model we determine the striking dependence of the overlap of the electron and hole wavefunctions on the quantum dot size. We conclude that the optical quality is best for large quantum dots, which is important in order to optimally tailor quantum dot emitters for, e.g., quantum electrodynamics experiments.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 11:15:05 GMT" }, { "version": "v2", "created": "Tue, 9 Oct 2007 07:01:23 GMT" }, { "version": "v3", "created": "Mon, 10 Dec 2007 13:57:33 GMT" } ]
2008-02-18T00:00:00
[ [ "Johansen", "J.", "" ], [ "Stobbe", "S.", "" ], [ "Nikolaev", "I. S.", "" ], [ "Lund-Hansen", "T.", "" ], [ "Kristensen", "P. T.", "" ], [ "Hvam", "J. M.", "" ], [ "Vos", "W. L.", "" ], [ "Lodahl", "P.", "" ] ]
0707.1974
Mridula Garg and Alka Rao
Mridula Garg and Alka Rao
Fractional extensions of some boundary value problems in oil strata
14 pages
null
null
null
math.AP
null
In the present paper, we solve three boundary value problems related to the temperature field in oil strata -- the fractional extensions of the incomplete lumped formulation and lumped formulation in the linear case and the fractional generalization of the incomplete lumped formulation in the radial case. By using the Caputo differintegral operator and the Laplace transform, the solutions are obtained in integral forms where the integrand is expressed in terms of the convolution of some auxiliary functions of Wright function type. A generalization of the Laplace transform convolution theorem, known as Efros' theorem is widely used.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 11:15:59 GMT" } ]
2007-07-16T00:00:00
[ [ "Garg", "Mridula", "" ], [ "Rao", "Alka", "" ] ]
0707.1975
R Thangadurai
R Thangadurai
A variant of Davenport's constant
13 pages
null
null
null
math.NT
null
Let p be a prime number. Let G be a finite abelian p-group of exponent n (written additively) and A be a non-empty subset of $]n[:= \{1,2,..., n\}$ such that elements of A are incongruent modulo p and non-zero modulo p. Let $k \geq D(G)/|A|$ be any integer where D(G) denotes the well-known Davenport's constant. In this article, we prove that for any sequence g_1, g_2, ..., g_k (not necessarily distinct) in G, one can always extract a subsequence g_{i_1}, g_{i_2}, ..., g_{i_\ell} with $1\leq \ell \leq k$ such that \begin{equation*} \sum_{j=1}^\ell a_{j}g_{i_j} = 0 {in} G, \end{equation*} where a_j \in A for all j. We provide examples where this bound cannot be improved. Furthermore, for the cyclic groups, we prove some sharp results in this direction. In the last section, we explore the relation between this problem and a similar problem with prescribed length. The proof of Theorem~1 uses group-algebra techniques, while for the other theorems, we use elementary number theory techniques.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 11:18:51 GMT" } ]
2007-07-16T00:00:00
[ [ "Thangadurai", "R", "" ] ]
0707.1976
Jussi Tyhtila I
Jussi Ilmari Tyhtila
Analytical solution for 3-dimensional, incompressible Navier-Stokes equations
Replaced with better functions, now explicit pressure obtained via an external force added
null
null
null
physics.gen-ph
null
This paper provides primarily an analytical ad hoc -solution for 3-dimensional, incompressible Navier-Stokes equations with a suitable external force field. The solution turns out to be smooth and integrable on the whole space. There is gaussian decay of amplitudes.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 11:22:29 GMT" }, { "version": "v2", "created": "Sun, 15 Jul 2007 20:13:25 GMT" }, { "version": "v3", "created": "Wed, 18 Jul 2007 14:49:52 GMT" }, { "version": "v4", "created": "Sat, 21 Jul 2007 08:32:30 GMT" }, { "version": "v5", "created": "Tue, 24 Jul 2007 18:32:35 GMT" } ]
2014-02-11T00:00:00
[ [ "Tyhtila", "Jussi Ilmari", "" ] ]
0707.1977
Levent Kurnaz
E. Gultepe and M. L. Kurnaz
Monte Carlo Simulation and Statistical Analysis of the Effect of Coding Table Specificity on Genetic Information Coding
null
null
null
null
q-bio.PE q-bio.GN
null
We present a computer simulation, which is inspired by Penna model, to help understanding the effect of genetic coding tables on population dynamics. To represent populations we used real and artificial gene sequences in this model. We coded these sequences using different amino acid tables in Nature, the standard table as well as the tables which are used by mithocondria and some eukaryotes. Contrary to common belief we find that the standard code table which is used in most organisms in Nature, does not give the most resilient coding against point mutations.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 11:22:35 GMT" } ]
2007-07-16T00:00:00
[ [ "Gultepe", "E.", "" ], [ "Kurnaz", "M. L.", "" ] ]
0707.1978
Damien Calaque
Damien Calaque and Gilles Halbout
Weak quantization of Poisson structures
LaTex, 19 pages, 6 figures ; typos corrected and references updated
Journal of Geometry and Physics 61 (2011), no. 8, 1401-1414
10.1016/j.geomphys.2011.03.004
null
math.QA
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this paper we prove that any Poisson structure on a sheaf of Lie algebroids admits a weak deformation quantization, and give a sufficient condition for such a Poisson structure to admit an actual deformation quantization. We also answer the corresponding classification problems. In the complex symplectic case, we recover in particular some results of Nest-Tsygan and Polesello-Schapira. We begin the paper with a recollection of known facts about deformation theory of cosimplicial differential graded Lie algebras.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 11:46:18 GMT" }, { "version": "v2", "created": "Wed, 28 Nov 2007 18:22:10 GMT" }, { "version": "v3", "created": "Fri, 25 Mar 2011 22:33:39 GMT" } ]
2012-01-24T00:00:00
[ [ "Calaque", "Damien", "" ], [ "Halbout", "Gilles", "" ] ]
0707.1979
Christopher Moseley
Ch. Moseley, O. Fialko, K. Ziegler
Interacting bosons in an optical lattice
58 pages, 14 figures
Ann. Phys. (Berlin) 17, pp. 48 (2008)
10.1002/andp.20085200804
null
cond-mat.other
null
Several models of a strongly interacting Bose gas in an optical lattice are studied within the functional-integral approach. The one-dimensional Bose gas is briefly discussed. Then the Bose-Einstein condensate and the Mott insulator of a three-dimensional Bose gas are described in mean-field approximation, and the corresponding phase diagrams are evaluated. Other characteristic quantities, like the spectrum of quasiparticle excitations and the static structure factor, are obtained from Gaussian fluctuations around the mean-field solutions. We discuss the role of quantum and thermal fluctuations, and determine the behavior of physical quantities in terms of density and temperature of the Bose gas. In particular, we study the dilute limit, where the mean-field equation becomes the Gross-Pitaevskii equation. This allows us to extend the Gross-Pitaevskii equation to the dense regime by introducing renormalized parameters in the latter.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 11:32:34 GMT" } ]
2022-06-15T00:00:00
[ [ "Moseley", "Ch.", "" ], [ "Fialko", "O.", "" ], [ "Ziegler", "K.", "" ] ]
0707.1980
Tobias Salger
Tobias Salger, Carsten Geckeler, Sebastian Kling, Martin Weitz
Atomic Landau-Zener tunneling in Fourier-synthesized optical lattices
5 pages, 5 figures
Phys. Rev. Lett. 99, 190405 (2007)
10.1103/PhysRevLett.99.190405
null
cond-mat.other
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We report on an experimental study of quantum transport of atoms in variable periodic optical potentials. The band structure of both ratchet-type asymmetric and symmetric lattice potentials is explored. The variable atom potential is realized by superimposing a conventional standing wave potential of \lambda/2 spatial periodicity with a fourth-order multiphoton potential of \lambda /4 periodicity. We find that the Landau-Zener tunneling rate between the first and the second excited Bloch band depends critically on the relative phase between the two spatial lattice harmonics.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 11:38:57 GMT" }, { "version": "v2", "created": "Wed, 14 Nov 2007 08:26:28 GMT" }, { "version": "v3", "created": "Mon, 16 Mar 2009 12:16:01 GMT" }, { "version": "v4", "created": "Fri, 11 Feb 2011 10:12:27 GMT" }, { "version": "v5", "created": "Mon, 28 Feb 2011 15:19:14 GMT" } ]
2011-03-01T00:00:00
[ [ "Salger", "Tobias", "" ], [ "Geckeler", "Carsten", "" ], [ "Kling", "Sebastian", "" ], [ "Weitz", "Martin", "" ] ]
0707.1981
Wojciech Moczydlowski
Wojciech Moczydlowski
A Normalizing Intuitionistic Set Theory with Inaccessible Sets
To be published in Logical Methods in Computer Science
Logical Methods in Computer Science, Volume 3, Issue 3 (August 16, 2007) lmcs:837
10.2168/LMCS-3(3:6)2007
null
cs.LO
null
We propose a set theory strong enough to interpret powerful type theories underlying proof assistants such as LEGO and also possibly Coq, which at the same time enables program extraction from its constructive proofs. For this purpose, we axiomatize an impredicative constructive version of Zermelo-Fraenkel set theory IZF with Replacement and $\omega$-many inaccessibles, which we call \izfio. Our axiomatization utilizes set terms, an inductive definition of inaccessible sets and the mutually recursive nature of equality and membership relations. It allows us to define a weakly-normalizing typed lambda calculus corresponding to proofs in \izfio according to the Curry-Howard isomorphism principle. We use realizability to prove the normalization theorem, which provides a basis for program extraction capability.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 12:02:10 GMT" }, { "version": "v2", "created": "Thu, 16 Aug 2007 15:37:16 GMT" }, { "version": "v3", "created": "Tue, 8 Apr 2008 08:03:51 GMT" } ]
2015-07-01T00:00:00
[ [ "Moczydlowski", "Wojciech", "" ] ]
0707.1982
Andrew R. Liddle
Soo A Kim and Andrew R Liddle
Nflation: observable predictions from the random matrix mass spectrum
5 pages RevTeX with 4 figures. Minor corrections to match version to appear in Physical Review D
Phys.Rev.D76:063515,2007
10.1103/PhysRevD.76.063515
null
astro-ph
null
We carry out numerical investigations of the perturbations in Nflation models where the mass spectrum is generated by random matrix theory. The tensor-to-scalar ratio and non-gaussianity are already known to take the single-field values, and so the density perturbation spectral index is the main parameter of interest. We study several types of random field initial conditions, and compute the spectral index as a function of mass spectrum parameters. Comparison with microwave anisotropy data from the Wilkinson Microwave Anisotropy Probe shows that the model is currently viable in the majority of its parameter space.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 11:48:23 GMT" }, { "version": "v2", "created": "Mon, 24 Sep 2007 11:39:06 GMT" } ]
2008-12-18T00:00:00
[ [ "Kim", "Soo A", "" ], [ "Liddle", "Andrew R", "" ] ]
0707.1983
Yuri Matiyasevich
Yuri Matiyasevich
Hidden Life of Riemann's Zeta Function 1. Arrow, Bow, and Targets
35 color figures. In version 2: English corrected, URLs updated
null
null
null
math.NT
null
The Riemann Hypothesis is reformulated as statements about eigenvalues of some matrices entries of which are defined via Taylor coefficient of the zeta function. These eigenvalues demonstrate interesting visual patterns allowing one to state a number of conjectures.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 11:55:50 GMT" }, { "version": "v2", "created": "Sat, 29 Sep 2007 07:36:21 GMT" } ]
2007-09-29T00:00:00
[ [ "Matiyasevich", "Yuri", "" ] ]
0707.1984
Charles Bonatto
Charles Bonatto, Eduardo Bica
Old open clusters in the inner Galaxy: FSR1744, FSR89 and FSR31
12 pages and 13 figs; A&A, accepted, July 9, 2007
null
10.1051/0004-6361:20077675
null
astro-ph
null
We establish the nature and derive fundamental and structural parameters of the recently catalogued objects FSR1744, FSR89 and FSR31. This work intends to provide clues to constrain the Galactic tidal disruption efficiency, improve statistics of the open cluster parameter space, and better define their age-distribution function inside the Solar circle. Properties of the objects are investigated by means of 2MASS colour-magnitude diagrams and stellar radial density profiles built with field star decontaminated photometry. Diagnostic-diagrams for structural parameters are used to help disentangle dynamical from high-background effects affecting such centrally projected open clusters. FSR1744, FSR89 and FSR31 are Gyr-class OCs located at Galactocentric distances 4.0 - 5.6kpc. Compared to nearby OCs, they have small core and limiting radii. With respect to the small number of OCs observed in the inner Galaxy, the emerging scenario in the near-infrared favours disruption driven by dynamical evolution rather than observational limitations associated with absorption and/or high background levels. Internally, the main processes associated with the dynamical evolution are, e.g. mass loss by stellar evolution, mass segregation and evaporation. Externally they are, e.g. tidal stress from the disk and bulge, and interactions with giant molecular clouds. FSR1744, FSR89 and FSR31 have structural parameters consistent with their Galactocentric distances, in the sense that tidally induced effects may have accelerated the dynamical evolution.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 12:00:25 GMT" } ]
2009-11-13T00:00:00
[ [ "Bonatto", "Charles", "" ], [ "Bica", "Eduardo", "" ] ]
0707.1985
Ivo Degiovanni
Ivo P. Degiovanni, Maria Bondani, Emiliano Puddu, Alessandra Andreoni, Matteo G. A. Paris
Intensity correlations, entanglement properties and ghost imaging in multimode thermal-seeded parametric downconversion: Theory
9 pages, 3 figures
Phys. Rev. A 76, 062309 (2007)
10.1103/PhysRevA.76.062309
null
quant-ph
null
We address parametric-downconversion seeded by multimode pseudo-thermal fields. We show that this process may be used to generate multimode pairwise correlated states with entanglement properties that can be tuned by controlling the seed intensities. Multimode pseudo-thermal fields seeded parametric-downconversion represents a novel source of correlated states, which allows one to explore the classical-quantum transition in pairwise correlations and to realize ghost imaging and ghost diffraction in regimes not yet explored by experiments.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 12:51:38 GMT" } ]
2009-11-13T00:00:00
[ [ "Degiovanni", "Ivo P.", "" ], [ "Bondani", "Maria", "" ], [ "Puddu", "Emiliano", "" ], [ "Andreoni", "Alessandra", "" ], [ "Paris", "Matteo G. A.", "" ] ]
0707.1986
Frederic Mila
Arnaud Ralko, Michel Ferrero, Federico Becca, Dmitri Ivanov, Frederic Mila
Crystallization of the resonating valence bond liquid as vortex condensation
4 pages, 4 figures
Phys. Rev. B 76, 140404(R) (2007)
10.1103/PhysRevB.76.140404
null
cond-mat.str-el
null
We show that the liquid-to-crystal quantum phase transition in the Rokhsar--Kivelson dimer model on the two-dimensional triangular lattice occurs as a condensation of vortex-like excitations called ``visons''. This conclusion is drawn from the numerical studies of the vison spectrum in the liquid phase by using the Green's function Monte Carlo method. We find that visons remain the lowest excitation throughout the liquid phase and that their gap decreases continuously to zero at the phase transition. The nature of the crystal phase and the second order of the phase transition are in agreement with the earlier prediction of Moessner and Sondhi [Phys. Rev. B 63, 224401 (2001)].
[ { "version": "v1", "created": "Fri, 13 Jul 2007 12:35:52 GMT" } ]
2007-10-25T00:00:00
[ [ "Ralko", "Arnaud", "" ], [ "Ferrero", "Michel", "" ], [ "Becca", "Federico", "" ], [ "Ivanov", "Dmitri", "" ], [ "Mila", "Frederic", "" ] ]
0707.1987
Massimo D'Elia
Simone Conradi and Massimo D'Elia
Imaginary chemical potentials and the phase of the fermionic determinant
6 pages, 6 figures
Phys.Rev.D76:074501,2007
10.1103/PhysRevD.76.074501
GEF-TH 18/07
hep-lat
null
A numerical technique is proposed for an efficient numerical determination of the average phase factor of the fermionic determinant continued to imaginary values of the chemical potential. The method is tested in QCD with eight flavors of dynamical staggered fermions. A direct check of the validity of analytic continuation is made on small lattices and a study of the scaling with the lattice volume is performed.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 19:56:41 GMT" } ]
2008-11-26T00:00:00
[ [ "Conradi", "Simone", "" ], [ "D'Elia", "Massimo", "" ] ]
0707.1988
Bolek Pietrzyk
B. Pietrzyk
LHCb detector status and commissioning
HCP06 proceedings for references
null
null
null
physics.ins-det
null
The LHCb detector status and commissioning is presented.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 12:40:19 GMT" } ]
2009-11-23T00:00:00
[ [ "Pietrzyk", "B.", "" ] ]
0707.1989
Karsten Flensberg
Anders Mathias Lunde, Alessandro De Martino, Reinhold Egger, and Karsten Flensberg
Electron-electron interaction effects in quantum point contacts
4 pages
null
null
null
cond-mat.mes-hall
null
We consider interaction effects in quantum point contacts on the first quantization plateau, taking into account all non momentum-conserving processes. We compute low-temperature linear and non-linear conductance, shot noise, and thermopower by perturbation theory, and show that they are consistent with experimental observations on the so-called "0.7 anomaly". The full temperature-dependent conductance is obtained from self-consistent second-order perturbation theory and approaches ~ e^2/h at higher temperatures, but still smaller than the Fermi temperature.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 13:05:27 GMT" } ]
2007-07-16T00:00:00
[ [ "Lunde", "Anders Mathias", "" ], [ "De Martino", "Alessandro", "" ], [ "Egger", "Reinhold", "" ], [ "Flensberg", "Karsten", "" ] ]
0707.1990
Lucas Lacasa
Bartolo Luque, Lucas Lacasa, Octavio Miramontes
Phase transition in a stochastic prime number generator
accepted in PRE (Rapid Comm.)
Physical Review E 76, 010103 (R) (2007)
10.1103/PhysRevE.76.010103
null
physics.comp-ph
null
We introduce a stochastic algorithm that acts as a prime number generator. The dynamics of such algorithm gives rise to a continuous phase transition which separates a phase where the algorithm is able to reduce a whole set of integers into primes and a phase where the system reaches a frozen state with low prime density. We present both numerical simulations and an analytical approach in terms of an annealed approximation, by means of which the data are collapsed. A critical slowing down phenomenon is also outlined.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 12:44:02 GMT" } ]
2009-11-13T00:00:00
[ [ "Luque", "Bartolo", "" ], [ "Lacasa", "Lucas", "" ], [ "Miramontes", "Octavio", "" ] ]
0707.1991
Michel L. E. Rieutord
M. Rieutord, T. Roudier, S. Roques and C. Ducottet
Tracking granules on the Sun's surface and reconstructing horizontal velocity fields: I. the CST algorithm
in press in Astronomy and Astrophysics, 9 pages
null
10.1051/0004-6361:20066491
null
astro-ph
null
Determination of horizontal velocity fields on the solar surface is crucial for understanding the dynamics of structures like mesogranulation or supergranulation or simply the distribution of magnetic fields. We pursue here the development of a method called CST for coherent structure tracking, which determines the horizontal motion of granules in the field of view. We first devise a generalization of Strous method for the segmentation of images and show that when segmentation follows the shape of granules more closely, granule tracking is less effective for large granules because of increased sensitivity to granule fragmentation. We then introduce the multi-resolution analysis on the velocity field, based on Daubechies wavelets, which provides a view of this field on different scales. An algorithm for computing the field derivatives, like the horizontal divergence and the vertical vorticity, is also devised. The effects from the lack of data or from terrestrial atmospheric distortion of the images are also briefly discussed.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 12:44:54 GMT" } ]
2009-11-13T00:00:00
[ [ "Rieutord", "M.", "" ], [ "Roudier", "T.", "" ], [ "Roques", "S.", "" ], [ "Ducottet", "C.", "" ] ]
0707.1992
Attila Szolnoki
Matjaz Perc and Attila Szolnoki
Noise-guided evolution within cyclical interactions
to be published in New J. Phys
New J. Phys. 9 (2007) 267
10.1088/1367-2630/9/8/267
null
q-bio.PE cond-mat.stat-mech physics.bio-ph
null
We study a stochastic predator-prey model on a square lattice, where each of the six species has two superior and two inferior partners. The invasion probabilities between species depend on the predator-prey pair and are supplemented by Gaussian noise. Conditions are identified that warrant the largest impact of noise on the evolutionary process, and the results of Monte Carlo simulations are qualitatively reproduced by a four-point cluster dynamical mean-field approximation. The observed noise-guided evolution is deeply routed in short-range spatial correlations, which is supported by simulations on other host lattice topologies. Our findings are conceptually related to the coherence resonance phenomenon in dynamical systems via the mechanism of threshold duality. We also show that the introduced concept of noise-guided evolution via the exploitation of threshold duality is not limited to predator-prey cyclical interactions, but may apply to models of evolutionary game theory as well, thus indicating its applicability in several different fields of research.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 12:45:08 GMT" } ]
2007-08-25T00:00:00
[ [ "Perc", "Matjaz", "" ], [ "Szolnoki", "Attila", "" ] ]
0707.1993
Doron Cohen
Doron Cohen and Baruch Horovitz
Decoherence of a particle in a ring
5 pages, 1 figure, proofed version to be published in EPL
Europhysics Letters 81, 30001 (2008)
10.1209/0295-5075/81/30001
null
cond-mat.mes-hall
null
We consider a particle coupled to a dissipative environment and derive a perturbative formula for the dephasing rate based on the purity of the reduced probability matrix. We apply this formula to the problem of a particle on a ring, that interacts with a dirty metal environment. At low but finite temperatures we find a dephasing rate $\propto T^{3/2}$, and identify dephasing lengths for large and for small rings. These findings shed light on recent Monte Carlo data regarding the effective mass of the particle. At zero temperature we find that spatial fluctuations suppress the possibility of having a power law decay of coherence.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 12:50:48 GMT" }, { "version": "v2", "created": "Thu, 22 Nov 2007 07:51:18 GMT" } ]
2009-11-13T00:00:00
[ [ "Cohen", "Doron", "" ], [ "Horovitz", "Baruch", "" ] ]
0707.1994
Michel L. E. Rieutord
R. Tkaczuk, M. Rieutord, N. Meunier and T. Roudier
Tracking granules at the Sun's surface and reconstructing velocity fields. II. Error analysis
in press in Astronomy and Astrophysics, 9 pages
null
10.1051/0004-6361:20066492
null
astro-ph
null
The determination of horizontal velocity fields at the solar surface is crucial to understanding the dynamics and magnetism of the convection zone of the sun. These measurements can be done by tracking granules. Tracking granules from ground-based observations, however, suffers from the Earth's atmospheric turbulence, which induces image distortion. The focus of this paper is to evaluate the influence of this noise on the maps of velocity fields. We use the coherent structure tracking algorithm developed recently and apply it to two independent series of images that contain the same solar signal. We first show that a k-\omega filtering of the times series of images is highly recommended as a pre-processing to decrease the noise, while, in contrast, using destretching should be avoided. We also demonstrate that the lifetime of granules has a strong influence on the error bars of velocities and that a threshold on the lifetime should be imposed to minimize errors. Finally, although solar flow patterns are easily recognizable and image quality is very good, it turns out that a time sampling of two images every 21 s is not frequent enough, since image distortion still pollutes velocity fields at a 30% level on the 2500 km scale, i.e. the scale on which granules start to behave like passive scalars. The coherent structure tracking algorithm is a useful tool for noise control on the measurement of surface horizontal solar velocity fields when at least two independent series are available.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 12:57:55 GMT" } ]
2009-11-13T00:00:00
[ [ "Tkaczuk", "R.", "" ], [ "Rieutord", "M.", "" ], [ "Meunier", "N.", "" ], [ "Roudier", "T.", "" ] ]
0707.1995
Jean Michel Maillet
N. Kitanine, K.K. Kozlowski, J.M. Maillet, G. Niccoli, N.A. Slavnov, V. Terras
Correlation functions of the open XXZ chain I
44 pages
J.Stat.Mech.0710:P10009,2007
10.1088/1742-5468/2007/10/P10009
null
hep-th
null
We consider the XXZ spin chain with diagonal boundary conditions in the framework of algebraic Bethe Ansatz. Using the explicit computation of the scalar products of Bethe states and a revisited version of the bulk inverse problem, we calculate the elementary building blocks for the correlation functions. In the limit of half-infinite chain, they are obtained as multiple integrals of usual functions, similar to the case of periodic boundary conditions.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 12:58:10 GMT" } ]
2008-11-26T00:00:00
[ [ "Kitanine", "N.", "" ], [ "Kozlowski", "K. K.", "" ], [ "Maillet", "J. M.", "" ], [ "Niccoli", "G.", "" ], [ "Slavnov", "N. A.", "" ], [ "Terras", "V.", "" ] ]
0707.1996
Abey L\'opez Garc\'ia
Abey L\'opez Garc\'ia and Guillermo L\'opez Lagomasino
Ratio Asymptotic of Hermite-Pad\'e Orthogonal Polynomials for Nikishin Systems. II
24 pages, 2 tables
Adv. Math. 218 (2008), 1081-1106
null
null
math.CV
null
We prove ratio asymptotic for sequences of multiple orthogonal polynomials with respect to a Nikishin system of measures ${\mathcal{N}}(\sigma_1,...,\sigma_m)$ such that for each $k$, the support of $\sigma_k$ consists of an interval $\widetilde{\Delta}_k$, on which $\sigma_k^{\prime} > 0$ almost everywhere, and a set without accumulation points in $\mathbb{R} \setminus \widetilde{\Delta}_k$.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 12:59:29 GMT" } ]
2019-10-22T00:00:00
[ [ "García", "Abey López", "" ], [ "Lagomasino", "Guillermo López", "" ] ]
0707.1997
Marat Siddikov Ilfatovich
K. Goeke, M.M. Musakhanov, M. Siddikov
Low energy constants of \chiPT from the instanton vacuum model
null
Phys.Rev.D76:076007,2007
10.1103/PhysRevD.76.076007
null
hep-ph
null
In the framework of the instanton vacuum model we make expansion over the current mass m and number of colors N_c and evaluate ${\cal O}(1/N_c, m, m/N_c, m \ln m/N_c)$-corrections to the dynamical quark mass M, the quark condensate $<\bar qq>$, the pion mass M_\pi and decay constant F_\pi. There are several sources of these corrections: meson loops, finite size of the instanton distribution and the quark-quark "tensor" interaction terms. In contrast to the expectations, we found that numerically the 1/N_c-corrections to dynamical mass are large and mostly come from meson loops. As a consequence, we have large 1/N_c-corrections to all the other quantities. To provide the values of $F_\pi(m=0), \ave{\bar qq(m=0)}$ in agreement with \chiPT, we offer a new set of parameters \rho, R. Finally, we find the low-energy SU(2)_f chiral lagrangian constants $\bar l_3, \bar l_4$ in a rather good correspondence with the phenomenology.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 13:00:13 GMT" } ]
2008-11-26T00:00:00
[ [ "Goeke", "K.", "" ], [ "Musakhanov", "M. M.", "" ], [ "Siddikov", "M.", "" ] ]
0707.1998
Alessandro Mirizzi
G.L.Fogli, E.Lisi, A.Marrone (Bari U. & INFN, Bari), A.Mirizzi (Munich, Max Planck Institut & Bari U. & INFN, Bari)
Collective neutrino flavor transitions in supernovae and the role of trajectory averaging
v2 (27 pages, including 9 eps figures). Typos removed, references updated. Minor comments added. Corrected numerical errors in Eq.(6). Matches the published version
JCAP 0712:010,2007
10.1088/1475-7516/2007/12/010
MPP-2007-54
hep-ph astro-ph
null
Non-linear effects on supernova neutrino oscillations, associated with neutrino self-interactions, are known to induce collective flavor transitions near the supernova core for theta_13 \neq 0. In scenarios with very shallow electron density profiles, these transformations have been shown to couple with ordinary matter effects, jointly producing spectral distortions both in normal and inverted hierarchy. In this work we consider a complementary scenario, characterized by higher electron density, as indicated by post-bounce shock-wave simulations. In this case, early collective flavor transitions are decoupled from later, ordinary matter effects. Moreover, such transitions become more amenable to both numerical computations and analytical interpretations in inverted hierarchy, while they basically vanish in normal hierarchy. We numerically evolve the neutrino density matrix in the region relevant for self-interaction effects. In the approximation of averaged intersection angle between neutrino trajectories, our simulations neatly show the collective phenomena of synchronization, bipolar oscillations, and spectral split, recently discussed in the literature. In the more realistic (but computationally demanding) case of non-averaged neutrino trajectories, our simulations do not show new significant features, apart from the smearing of ``fine structures'' such as bipolar nutations. Our results seem to suggest that, at least for non-shallow matter density profiles, averaging over neutrino trajectories plays a minor role in the final outcome. In this case, the swap of nu_e and nu_{\mu,\tau} spectra above a critical energy may represent an unmistakable signature of the inverted hierarchy, especially for theta_{13} small enough to render further matter effects irrelevant.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 13:17:21 GMT" }, { "version": "v2", "created": "Mon, 17 Dec 2007 13:36:08 GMT" } ]
2009-10-07T00:00:00
[ [ "Fogli", "G. L.", "", "Bari U. & INFN, Bari" ], [ "Lisi", "E.", "", "Bari U. & INFN, Bari" ], [ "Marrone", "A.", "", "Bari U. & INFN, Bari" ], [ "Mirizzi", "A.", "", "Munich, Max Planck Institut & Bari U. & INFN, Bari" ] ]
0707.1999
Bernhard Hanke
B. Hanke, D. Kotschick, J. Roe, T. Schick
Coarse topology, enlargeability, and essentialness
21 pages, 2 figures. Revised version. To appear in Ann. Sci. Ecole Norm. Sup
Ann. Sci. Ecole Norm. Sup. 41 (2008), 471--493
10.24033/asens.2073
null
math.AT math.DG math.GT math.KT
null
Using methods from coarse topology we show that fundamental classes of closed enlargeable manifolds map non-trivially both to the rational homology of their fundamental groups and to the K-theory of the corresponding reduced C*-algebras. Our proofs do not depend on the Baum--Connes conjecture and provide independent confirmation for specific predictions derived from this conjecture.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 17:07:47 GMT" }, { "version": "v2", "created": "Wed, 5 Mar 2008 14:26:44 GMT" } ]
2018-11-28T00:00:00
[ [ "Hanke", "B.", "" ], [ "Kotschick", "D.", "" ], [ "Roe", "J.", "" ], [ "Schick", "T.", "" ] ]
0707.2000
Fan Wu M. S.
Fan Wu, Leif Roschier, Taku Tsuneta, Mikko Paalanen, Taihong Wang, Pertti Hakonen
Setup for shot noise measurements in carbon nanotubes
2 pages, 2 figures, published on AIP conference proceedings 2006
AIP Conference Proceedings 850 (ISBN 0-7354-0347-3), pp 1482-1483, 2006
10.1063/1.2355263
null
cond-mat.mes-hall
null
We have constructed a noise measurement setup for high impedance carbon nanotube samples. Our setup, working in the frequency range of 600 - 900 MHz, takes advantage of the fact that the shot noise power is reasonably large for high impedance sources so that relatively large, fixed non-matching conditions can be tolerated.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 13:21:45 GMT" } ]
2009-11-13T00:00:00
[ [ "Wu", "Fan", "" ], [ "Roschier", "Leif", "" ], [ "Tsuneta", "Taku", "" ], [ "Paalanen", "Mikko", "" ], [ "Wang", "Taihong", "" ], [ "Hakonen", "Pertti", "" ] ]
0707.2001
Stephane Toulin
Yves Garrabos (ICMCB), Fabien Palencia (ICMCB), Carole Lecoutre-Chabot (ICMCB), Daniel Broseta (TEFC), Bernard Le Neindre (LIMHP)
Master crossover behavior of parachor correlations for one-component fluids
null
Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 76, 6 (2007) 061109 (22 p.)
10.1103/PhysRevE.76.061109
null
cond-mat.stat-mech
null
The master asymptotic behavior of the usual parachor correlations, expressing surface tension $\sigma$ as a power law of the density difference $\rho_{L}-\rho_{V}$ between coexisting liquid and vapor, is analyzed for a series of pure compounds close to their liquid-vapor critical point, using only four critical parameters $(\beta_{c})^{-1}$, $\alpha_{c}$, $Z_{c}$ and $Y_{c}$, for each fluid. ... The main consequences of these theoretical estimations are discussed in the light of engineering applications and process simulations where parachor correlations constitute one of the most practical method for estimating surface tension from density and capillary rise measurements.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 13:24:14 GMT" } ]
2007-12-11T00:00:00
[ [ "Garrabos", "Yves", "", "ICMCB" ], [ "Palencia", "Fabien", "", "ICMCB" ], [ "Lecoutre-Chabot", "Carole", "", "ICMCB" ], [ "Broseta", "Daniel", "", "TEFC" ], [ "Neindre", "Bernard Le", "", "LIMHP" ] ]
0707.2002
Enrique Batista
Ping Yang, Enrique R. Batista, Sergei Tretiak, Avadh Saxena, Richard L. Martin, and D. L. Smith
Effect of Intra-molecular Disorder and Inter-molecular Electronic Interactions on the Electronic Structure of Poly-p-Phenylene Vinylene (PPV)
4 pages, 4 figures. Compile with pdflatex
null
10.1103/PhysRevB.76.241201
null
cond-mat.soft cond-mat.mtrl-sci
null
We investigate the role of intra-molecular conformational disorder and inter-molecular electronic interactions on the electronic structure of disorder clusters of poly-p-phenylene vinylene (PPV) oligomers. Classical molecular dynamics is used to determine probable molecular geometries, and first-principle density functional theory (DFT) calculations are used to determine electronic structure. Intra-molecular and inter-molecular effects are disentangled by contrasting results for densely packed oligomer clusters with those for ensembles of isolated oligomers with the same intra-molecular geometries. We find that electron trap states are induced primarily by intra-molecular configuration disorder, while the hole trap states are generated primarily from inter-molecular electronic interactions.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 17:13:32 GMT" } ]
2009-11-13T00:00:00
[ [ "Yang", "Ping", "" ], [ "Batista", "Enrique R.", "" ], [ "Tretiak", "Sergei", "" ], [ "Saxena", "Avadh", "" ], [ "Martin", "Richard L.", "" ], [ "Smith", "D. L.", "" ] ]
0707.2003
Benjamin Webster
Ben Webster, Geordie Williamson
A geometric model for Hochschild homology of Soergel bimodules
19 pages, no figures
Geom. Topol. 12 (2008) 1243-1263
10.2140/gt.2008.12.1243
null
math.AG math.RT
null
An important step in the calculation of the triply graded link homology theory of Khovanov and Rozansky is the determination of the Hochschild homology of Soergel bimodules for SL(n). We present a geometric model for this Hochschild homology for any simple group G, as equivariant intersection homology of B x B-orbit closures in G. We show that, in type A these orbit closures are equivariantly formal for the conjugation T-action. We use this fact to show that in the case where the corresponding orbit closure is smooth, this Hochschild homology is an exterior algebra over a polynomial ring on generators whose degree is explicitly determined by the geometry of the orbit closure, and describe its Hilbert series, proving a conjecture of Jacob Rasmussen.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 17:08:08 GMT" }, { "version": "v2", "created": "Tue, 7 Aug 2007 21:33:45 GMT" } ]
2014-11-11T00:00:00
[ [ "Webster", "Ben", "" ], [ "Williamson", "Geordie", "" ] ]
0707.2004
Javier Vasquez
C. Cappa (1,2), V.S. Niemela (1,3), R. Amorin (4) and J. Vasquez (1,2); ((1) Facultad de Ciencias Astronomicas y Geofisicas, Universidad Nacional de La Plata, La Plata, Argentina; (2) Instituto Argentino de Radioastronomia, Villa Elisa, Argentina; (3) Instituto de Astrofisica de La Plata, La Plata, Argentina; (4) Instituto de Astrofisica de Canarias, Spain)
The environs of the HII region Gum31
submitted to A&A, 12 pages, 10 figures, 3 tables
null
null
null
astro-ph
null
We analyze the distribution of the interstellar matter in the environs of the \hii region Gum 31, excited by the open cluster NGC 3324, located in the complex Carina region, with the aim of investigating the action of the massive stars on the surrounding neutral material. We use 21cm-line data, radio continuum images at 0.843, 2.4 and 4.9 GHz, $^{12}${\bf CO(1-0)} observations, and IRAS and MSX infrared data. Adopting a distance of 3 kpc for the \hii\ region and the ionizing cluster, we have derived an electron density of 33$\pm$3 cm$^{-3}$ and an ionized mass of (3.3$\pm$1.1)$\times10^3$ M$_{\odot}$ based on the radio continuum data at 4.9 GHz. The \hi 21-cm line images revealed an \hi shell surrounding the H {\sc ii} region. The \hi structure is 10.0$\pm$1.7 pc in radius, has a neutral mass of 1500$\pm$500 M$_{\odot}$, and is expanding at 11 km s$^{-1}$. The associated molecular gas amounts to (1.5$\pm$0.5)$\times10^5$ M$_{\odot}$, being its volume density of about 500 cm^{-3}. This molecular material probably represents the remains of the cloud where the young open cluster NGC 3324 was born. The distributions of the ionized and molecular material, along with that of the emission in the MSX band A suggest that a photodissociation region has developed at the interface between the ionized and molecular gas. We conclude that either the massive stars in the open cluster have weak stellar winds or the stellar winds have blown during a very short period of time to create an interstellar bubble in an interstellar medium as dense as observed. IRAS, MSX, and 2MASS point sources projected onto the molecular envelope are compatible with protostellar candidates, showing the presence star forming regions. The expansion of the \hii region has triggered stellar formation in the molecular shell.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 13:59:58 GMT" } ]
2007-07-16T00:00:00
[ [ "Cappa", "C.", "" ], [ "Niemela", "V. S.", "" ], [ "Amorin", "R.", "" ], [ "Vasquez", "J.", "" ], [ ";", "", "" ] ]
0707.2005
Michael De Becker
M. De Becker, G. Rauw, J. M. Pittard, H. Sana, I. R. Stevens, G. E. Romero
INTEGRAL-ISGRI observations of the CygOB2 region: earching for hard X-ray point sources in a region containing several non-thermal emitting massive stars
6 page, 2 figures including one figure in GIF format, accepted for publication by A&A
null
10.1051/0004-6361:20077734
null
astro-ph
null
Aims: We analyze INTEGRAL-ISGRI data in order to probe the hard X-ray emission (above 20 keV) from point sources in the Cyg OB2 region and to investigate the putative non-thermal high-energy emission from early-type stars (Wolf-Rayet and O-type stars). Among the targets located in the field of view, we focus on the still unidentified EGRET source 3EG 2033+4118 that may be related to massive stars known to produce non-thermal emission in the radio domain, and on the wide colliding-wind binary WR 140. Methods: Using a large set of data obtained with the IBIS-ISGRI imager onboard INTEGRAL, we run the OSA software package in order to find point sources in the fully coded field of view of the instrument. Results: Our data do not allow the detection of a lower-energy counterpart of 3EG J2033+4118 nor of any other new point sources in the field of view, and we derive upper limits on the high-energy flux for a few targets: 3EG J2033+4118, TeV J2032+4130, WR140, WR146 and WR147. The results are discussed in the context of the multiwavelength investigation of these objects. Conclusions: The upper limits derived are valuable constraints for models aimed at understanding the acceleration of particles in non-thermal emitting massive stars, and of the still unidentified very-high gamma-ray source TeV J2032+4130.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 13:37:24 GMT" } ]
2009-11-13T00:00:00
[ [ "De Becker", "M.", "" ], [ "Rauw", "G.", "" ], [ "Pittard", "J. M.", "" ], [ "Sana", "H.", "" ], [ "Stevens", "I. R.", "" ], [ "Romero", "G. E.", "" ] ]
0707.2006
Damien Chablat
Damien Chablat (IRCCyN), Philippe Wenger (IRCCyN)
Working Modes and Aspects in Fully-Parallel Manipulator
null
Proceeding IEEE International Conference on Robotics and Automation (05/1998) 1964-1969
null
null
cs.RO
null
The aim of this paper is to characterize the notion of aspect in the workspace and in the joint space for parallel manipulators. In opposite to the serial manipulators, the parallel manipulators can admit not only multiple inverse kinematic solutions, but also multiple direct kinematic solutions. The notion of aspect introduced for serial manipulators in [Borrel 86], and redefined for parallel manipulators with only one inverse kinematic solution in [Wenger 1997], is redefined for general fully parallel manipulators. Two Jacobian matrices appear in the kinematic relations between the joint-rate and the Cartesian-velocity vectors, which are called the "inverse kinematics" and the "direct kinematics" matrices. The study of these matrices allow to respectively define the parallel and the serial singularities. The notion of working modes is introduced to separate inverse kinematic solutions. Thus, we can find out domains of the workspace and the joint space exempt of singularity. Application of this study is the moveability analysis in the workspace of the manipulator as well as path-planing and control. This study is illustrated in this paper with a RR-RRR planar parallel manipulator.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 13:40:56 GMT" } ]
2007-07-16T00:00:00
[ [ "Chablat", "Damien", "", "IRCCyN" ], [ "Wenger", "Philippe", "", "IRCCyN" ] ]
0707.2007
Lazhar Dhaouadi
Lazhar Dhaouadi
Functions of q-positive type
null
Positivity 16 (2012) 107-129
10.1007/s11117-011-0115-y
null
math.CA
null
In this paper we characterize the subspace of $\mathcal{L}_{q,1,v}$ of function which are the q-Bessel Fourier transform of positive functions in $\mathcal{L}_{q,1,v}$. As application we give a q-version of the Bochner's theorem.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 13:44:01 GMT" } ]
2013-05-14T00:00:00
[ [ "Dhaouadi", "Lazhar", "" ] ]
0707.2008
Carlos Cabrelli
Akram Aldroubi, Carlos Cabrelli and Ursula Molter
Optimal Non-Linear Models for Sparsity and Sampling
20 pages, 2 figures. Final version of the paper. To appear in Journal of Fourier Analysis and Applications
null
null
null
math.CA
null
Given a set of vectors (the data) in a Hilbert space H, we prove the existence of an optimal collection of subspaces minimizing the sum of the square of the distances between each vector and its closest subspace in the collection. This collection of subspaces gives the best sparse representation for the given data, in a sense defined in the paper, and provides an optimal model for sampling in union of subspaces. The results are proved in a general setting and then applied to the case of low dimensional subspaces of R^N and to infinite dimensional shift-invariant spaces in L^2(R^d). We also present an iterative search algorithm for finding the solution subspaces. These results are tightly connected to the new emergent theories of compressed sensing and dictionary design, signal models for signals with finite rate of innovation, and the subspace segmentation problem.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 13:46:27 GMT" }, { "version": "v2", "created": "Thu, 7 Feb 2008 02:42:46 GMT" } ]
2008-02-07T00:00:00
[ [ "Aldroubi", "Akram", "" ], [ "Cabrelli", "Carlos", "" ], [ "Molter", "Ursula", "" ] ]
0707.2009
John Moriarty
Yan Doumerc and John Moriarty
Exit problems associated with affine reflection groups
34 pages. Rewritten in some places to improve presentation. To appear in Probability Theory and Related Fields
Probability Theory and Related Fields 145 (3-4), pp 351-383 (2009)
10.1007/s00440-008-0171-9
null
math.PR math.GR
null
We obtain a formula for the distribution of the first exit time of Brownian motion from the alcove of an affine Weyl group. In most cases the formula is expressed compactly, in terms of Pfaffians. Expected exit times are derived in the type \~A case. The results extend to other Markov processes. We also give formulas for the real eigenfunctions of the Dirichlet and Neumann Laplacians on alcoves, observing that the `Hot Spots' conjecture of J. Rauch is true for alcoves.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 18:03:39 GMT" }, { "version": "v2", "created": "Sun, 25 May 2008 20:17:09 GMT" } ]
2013-02-12T00:00:00
[ [ "Doumerc", "Yan", "" ], [ "Moriarty", "John", "" ] ]
0707.2010
Giancarlo Ferrera
Ugo Aglietti (Rome U. & INFN, Rome), Leonardo Di Giustino (Parma U. & INFN, Parma), Giancarlo Ferrera (Barcelona U. & Florence U.), Alessandro Renzaglia (Rome U. & INFN, Rome), Giulia Ricciardi (Naples U. & INFN, Naples), Luca Trentadue (Parma U. & INFN, Parma)
Threshold Resummation in B --> X_c l nu_l Decays
24 pages, no figures
Phys.Lett.B653:38-52,2007
10.1016/j.physletb.2007.07.041
ROME1/1455-07, DSF/23/2007
hep-ph
null
We compute the QCD form factor resumming threshold logarithms in B --> X_c + l + nu_l decays to next-to-leading logarithmic approximation. We present an interpolation formula including soft as well as collinear effects softened by the non-vanishing charm mass.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 17:20:32 GMT" } ]
2008-11-26T00:00:00
[ [ "Aglietti", "Ugo", "", "Rome U. & INFN, Rome" ], [ "Di Giustino", "Leonardo", "", "Parma U. &\n INFN, Parma" ], [ "Ferrera", "Giancarlo", "", "Barcelona U. & Florence U." ], [ "Renzaglia", "Alessandro", "", "Rome U. & INFN, Rome" ], [ "Ricciardi", "Giulia", "", "Naples U. & INFN,\n Naples" ], [ "Trentadue", "Luca", "", "Parma U. & INFN, Parma" ] ]
0707.2011
Negadi Tidjani none
Tidjani Negadi
The genetic code multiplet structure, in one number
9 pages
Symmetry: Culture and Science, Volume 18, Numbers 2-3, pages 149-160 (2007)
null
null
q-bio.OT
null
The standard genetic code multiplet structure as well as the correct degeneracies, class by class, are all extracted from the (unique) number 23, the order of the permutation group of 23 objects.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 13:58:01 GMT" } ]
2008-09-01T00:00:00
[ [ "Negadi", "Tidjani", "" ] ]
0707.2012
Daniel Azagra
D. Azagra, M. Jimenez-Sevilla, F. Macia
Generalized motion of level sets by functions of their curvatures on Riemannian manifolds
34 pages; third version (some misprints have been corrected and one important example added)
null
null
null
math.AP math.DG
null
We consider the generalized evolution of compact level sets by functions of their normal vectors and second fundamental forms on a Riemannian manifold M. The level sets of a function $u:M\to\mathbb{R}$ evolve in such a way whenever u solves an equation $u_{t}+F(Du, D^{2}u)=0$, for some real function F satisfying a geometric condition. We show existence and uniqueness of viscosity solutions to this equation under the assumptions that M has nonnegative curvature, F is continuous off Du=0, (degenerate) elliptic, and locally invariant by parallel translation. We then prove that this approach is geometrically consistent, hence it allows to define a generalized evolution of level sets by very general, singular functions of their curvatures. For instance, these assumptions on F are satisfied when F is given by the evolutions of level sets by their mean curvature (even in arbitrary codimension) or by their positive Gaussian curvature. We also prove that the generalized evolution is consistent with the classical motion by the corresponding function of the curvature, whenever the latter exists. When M is not of nonnegative curvature, the same results hold if one additionally requires that F is uniformly continuous with respect to D^2 u. Finally we give some counterexamples showing that several well known properties of the evolutions in $\mathbb{R}^{n}$ are no longer true when M has negative sectional curvature.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 13:58:40 GMT" }, { "version": "v2", "created": "Sun, 2 Sep 2007 17:28:51 GMT" }, { "version": "v3", "created": "Mon, 28 Jan 2008 14:41:15 GMT" } ]
2008-01-28T00:00:00
[ [ "Azagra", "D.", "" ], [ "Jimenez-Sevilla", "M.", "" ], [ "Macia", "F.", "" ] ]
0707.2013
Rong-Gen Cai
Rong-Gen Cai, Nobuyoshi Ohta
Deconfinement Transition of AdS/QCD at ${\cal O}(\alpha'^3)$
Latex, 14 pages; v2: the version to appear in PRD
Phys.Rev.D76:106001,2007
10.1103/PhysRevD.76.106001
KU-TP 013
hep-th gr-qc hep-ph
null
We study the confinement/deconfinement phase transition of holographic AdS/QCD models by using Ricci flat $AdS_5$ black holes up to ${\cal O}(\alpha'^3)$, which corresponds to the $\lambda$ expansion correction in the dual field theory to $\lambda^{-3/2}$, where $\lambda$ is the 't Hooft coupling constant. We consider two cases: one is the hard-wall AdS/QCD model where a small radius region of the $AdS_5$ is removed; the other is the case where one of spatial coordinates for the $AdS_5$ space is compactified, resulting in Witten's QCD model in 2+1 dimensions. We find that in the hard-wall AdS/QCD model, the deconfinement temperature decreases when the $\lambda$ expansion corrections are taken into account, while in Witten's QCD model, the deconfinement transition always happens when the ratio of inverse temperature $\beta$ to the period $\beta_s$ of the compactified coordinate decreases to one, $\beta/\beta_s=1$, the same as the case without the ${\cal O}(\alpha'^3)$ correction.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 15:31:21 GMT" }, { "version": "v2", "created": "Mon, 24 Sep 2007 13:04:43 GMT" } ]
2008-11-26T00:00:00
[ [ "Cai", "Rong-Gen", "" ], [ "Ohta", "Nobuyoshi", "" ] ]
0707.2014
Giacomo Como
Giacomo Como, Serdar Yuksel, Sekhar Tatikonda
On the error exponent of variable-length block-coding schemes over finite-state Markov channels with feedback
null
null
null
null
cs.IT math.IT
null
The error exponent of Markov channels with feedback is studied in the variable-length block-coding setting. Burnashev's classic result is extended and a single letter characterization for the reliability function of finite-state Markov channels is presented, under the assumption that the channel state is causally observed both at the transmitter and at the receiver side. Tools from stochastic control theory are used in order to treat channels with intersymbol interference. In particular the convex analytical approach to Markov decision processes is adopted to handle problems with stopping time horizons arising from variable-length coding schemes.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 14:27:26 GMT" } ]
2016-09-08T00:00:00
[ [ "Como", "Giacomo", "" ], [ "Yuksel", "Serdar", "" ], [ "Tatikonda", "Sekhar", "" ] ]
0707.2015
Jan Kleinert
J. Kleinert, C. Haimberger, P. J. Zabawa, and N. P. Bigelow
Trapping of ultracold polar molecules with a Thin Wire Electrostatic Trap
4 pages, 3 figures
null
10.1103/PhysRevLett.99.143002
null
physics.atom-ph
null
We describe the realization of a dc electric-field trap for ultracold polar molecules, the thin-wire electrostatic trap (TWIST). The thin wires that form the electrodes of the TWIST allow us to superimpose the trap onto a magneto-optical trap (MOT). In our experiment, ultracold polar NaCs molecules in their electronic ground state are created in the MOT via photoassociation, achieving a continuous accumulation in the TWIST of molecules in low-field seeking states. Initial measurements show that the TWIST trap lifetime is limited only by the background pressure in the chamber.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 14:11:18 GMT" }, { "version": "v2", "created": "Thu, 4 Oct 2007 18:04:36 GMT" } ]
2007-10-04T00:00:00
[ [ "Kleinert", "J.", "" ], [ "Haimberger", "C.", "" ], [ "Zabawa", "P. J.", "" ], [ "Bigelow", "N. P.", "" ] ]
0707.2016
Claire Moutou
C. Moutou, J.-F. Donati, R. Savalle, G. Hussain, E. Alecian, F. Bouchy, C. Catala, A. Collier Cameron, S. Udry, A. Vidal-Madjar
Spectropolarimetric observations of the transiting planetary system of the K dwarf HD 189733
Accepted in Astronomy and Astrophysics, 12 pages
null
10.1051/0004-6361:20077795
null
astro-ph
null
With a Jupiter-mass planet orbiting at a distance of only 0.031 AU, the active K2 dwarf HD 189733 is a potential candidate in which to study the magnetospheric interactions of a cool star with its recently-discovered close-orbiting giant planet. We decided to explore the strength and topology of the large-scale magnetosphere of HD 189733, as a future benchmark for quantitative studies for models of the star/planet magnetic interactions. To this end, we used ESPaDOnS, the new generation spectropolarimeter at the Canada-France-Hawaii 3.6m telescope, to look for Zeeman circular polarisation signatures in the line profiles of HD 189733 in 2006 June and August. Zeeman signatures in the line profiles of HD 189733 are clearly detected in all spectra, demonstrating that a field is indeed present at the surface of the star. The Zeeman signatures are not modulated with the planet's orbital period but apparently vary with the stellar rotation cycle. The reconstructed large-scale magnetic field, whose strength reaches a few tens of G, is significantly more complex than that of the Sun; it involves in particular a significant toroidal component and contributions from magnetic multipoles of order up to 5. The CaII H & K lines clearly feature core emission, whose intensity is apparently varying mostly with rotation phase. Our data suggest that the photosphere and magnetic field of HD 189733 are sheared by a significant amount of differential rotation. Our initial study confirms that HD 189733 is an optimal target for investigating activity enhancements induced by closely orbiting planets. More data are needed, densely covering both the orbital and rotation cycles, to investigate whether and how much the planet contributes to the overall activity level of HD 189733.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 14:14:58 GMT" } ]
2009-11-13T00:00:00
[ [ "Moutou", "C.", "" ], [ "Donati", "J. -F.", "" ], [ "Savalle", "R.", "" ], [ "Hussain", "G.", "" ], [ "Alecian", "E.", "" ], [ "Bouchy", "F.", "" ], [ "Catala", "C.", "" ], [ "Cameron", "A. Collier", "" ], [ "Udry", "S.", "" ], [ "Vidal-Madjar", "A.", "" ] ]
0707.2017
Damien Chablat
Damien Chablat (IRCCyN), Philippe Wenger (IRCCyN), Jorge Angeles (CIM)
The Isoconditioning Loci of A Class of Closed-Chain Manipulators
null
Proceeding IEEE International Conference on Robotics and Automation (05/1998) 1970-1976
null
null
cs.RO
null
The subject of this paper is a special class of closed-chain manipulators. First, we analyze a family of two-degree-of-freedom (dof) five-bar planar linkages. Two Jacobian matrices appear in the kinematic relations between the joint-rate and the Cartesian-velocity vectors, which are called the ``inverse kinematics" and the "direct kinematics" matrices. It is shown that the loci of points of the workspace where the condition number of the direct-kinematics matrix remains constant, i.e., the isoconditioning loci, are the coupler points of the four-bar linkage obtained upon locking the middle joint of the linkage. Furthermore, if the line of centers of the two actuated revolutes is used as the axis of a third actuated revolute, then a three-dof hybrid manipulator is obtained. The isoconditioning loci of this manipulator are surfaces of revolution generated by the isoconditioning curves of the two-dof manipulator, whose axis of symmetry is that of the third actuated revolute.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 14:18:45 GMT" } ]
2007-07-16T00:00:00
[ [ "Chablat", "Damien", "", "IRCCyN" ], [ "Wenger", "Philippe", "", "IRCCyN" ], [ "Angeles", "Jorge", "", "CIM" ] ]
0707.2018
Remon Cornelisse
R. Cornelisse, D. Steeghs, J. Casares, P.A. Charles, I.C. Shih, R.I. Hynes, K. O'Brien
A signature of the donor star in the extra-galactic X-ray binary LMC X-2
9 pages, 7 figures, accepted for publication in MNRAS
null
10.1111/j.1365-2966.2007.12233.x
null
astro-ph
null
Two nights of phase-resolved medium resolution VLT spectroscopy of the extra-galactic low mass X-ray binary LMC X-2 have revealed a 0.32+/-0.02 day spectroscopic period in the radial velocity curve of the HeII lambda4686 emission line that we interpret as the orbital period. However, similar to previous findings, this radial velocity curve shows a longer term variation that is most likely due to the presence of a precessing accretion disk in LMC X-2. This is strengthened by HeII lambda4686 Doppler maps that show a bright spot that is moving from night to night. Furthermore, we detect narrow emission lines in the Bowen region of LMC X-2,with a velocity of K_em=351+/-28 km/s, that we tentatively interpret as coming from the irradiated side of the donor star. Since K_em must be smaller than K_2, this leads to the first upper-limit on the mass function of LMC X-2 of f(M_1)>=0.86Msun (95% confidence), and the first constraints on its system parameters.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 14:21:16 GMT" } ]
2009-11-13T00:00:00
[ [ "Cornelisse", "R.", "" ], [ "Steeghs", "D.", "" ], [ "Casares", "J.", "" ], [ "Charles", "P. A.", "" ], [ "Shih", "I. C.", "" ], [ "Hynes", "R. I.", "" ], [ "O'Brien", "K.", "" ] ]
0707.2019
Juan Carlos Martinez Oliveros JCMO
J.C. Martinez-Oliveros, H. Moradi, D. Besliu-Ionescu, A.-C Donea, P.S. Cally, C. Lindsey
From GHz to mHz: A Multiwavelength Study of the Acoustically Active 14 August 2004 M7.4 Solar Flare
Accepted in Solar Physics
null
10.1007/s11207-007-9004-8
null
astro-ph
null
We carried out an electromagnetic acoustic analysis of the solar flare of 14 August 2004 in active region AR10656 from the radio to the hard X-ray spectrum. The flare was a GOES soft X-ray class M7.4 and produced a detectable sun quake, confirming earlier inferences that relatively low-energy flares may be able to generate sun quakes. We introduce the hypothesis that the seismicity of the active region is closely related to the heights of coronal magnetic loops that conduct high-energy particles from the flare. In the case of relatively short magnetic loops, chromospheric evaporation populates the loop interior with ionized gas relatively rapidly, expediting the scattering of remaining trapped high-energy electrons into the magnetic loss cone and their rapid precipitation into the chromosphere. This increases both the intensity and suddenness of the chromospheric heating, satisfying the basic conditions for an acoustic emission that penetrates into the solar interior.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 14:53:12 GMT" } ]
2009-11-13T00:00:00
[ [ "Martinez-Oliveros", "J. C.", "" ], [ "Moradi", "H.", "" ], [ "Besliu-Ionescu", "D.", "" ], [ "Donea", "A. -C", "" ], [ "Cally", "P. S.", "" ], [ "Lindsey", "C.", "" ] ]
0707.2020
Tomohiro Ogawa
Fumio Hiai, Milan Mosonyi, Tomohiro Ogawa
Error exponents in hypothesis testing for correlated states on a spin chain
26 pages; discussions extended, 2 figures added
J. Math. Phys. 49 032112 (2008)
10.1063/1.2872276
null
quant-ph
null
We study various error exponents in a binary hypothesis testing problem and extend recent results on the quantum Chernoff and Hoeffding bounds for product states to a setting when both the null-hypothesis and the counter-hypothesis can be correlated states on a spin chain. Our results apply to states satisfying a certain factorization property; typical examples are the global Gibbs states of translation-invariant finite-range interactions as well as certain finitely correlated states.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 14:33:05 GMT" }, { "version": "v2", "created": "Sat, 3 Nov 2007 09:02:15 GMT" } ]
2009-11-13T00:00:00
[ [ "Hiai", "Fumio", "" ], [ "Mosonyi", "Milan", "" ], [ "Ogawa", "Tomohiro", "" ] ]
0707.2021
Kirill A. Kazakov
Guy Joulin, Hazem El-Rabii and Kirill A. Kazakov
On-Shell Description of Unsteady Flames
21 pages, 3 figures; extended discussion of causality, new references added
null
10.1017/S0022112008002140
null
physics.flu-dyn
null
The problem of non-perturbative description of unsteady premixed flames with arbitrary gas expansion is solved in the two-dimensional case. Considering the flame as a surface of discontinuity with arbitrary local burning rate and gas velocity jumps given on it, we show that the front dynamics can be determined without having to solve the flow equations in the bulk. On the basis of the Thomson circulation theorem, an implicit integral representation of the gas velocity downstream is constructed. It is then simplified by a successive stripping of the potential contributions to obtain an explicit expression for the vortex component near the flame front. We prove that the unknown potential component is left bounded and divergence-free by this procedure, and hence can be eliminated using the dispersion relation for its on-shell value (i.e., the value along the flame front). The resulting system of integro-differential equations relates the on-shell fuel velocity and the front position. As limiting cases, these equations contain all theoretical results on flame dynamics established so far, including the linear equation describing the Darrieus-Landau instability of planar flames, and the nonlinear Sivashinsky-Clavin equation for flames with weak gas expansion.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 14:41:00 GMT" }, { "version": "v2", "created": "Wed, 23 Jan 2008 20:50:52 GMT" } ]
2015-05-13T00:00:00
[ [ "Joulin", "Guy", "" ], [ "El-Rabii", "Hazem", "" ], [ "Kazakov", "Kirill A.", "" ] ]
0707.2022
Alexey Popov V
Alexey Popov (IHEP, Protvino on behalf of D0 collaboration)
W and Z Boson Production at sqrt(S)=1.96TeV with the D0 Detector
Proceedings of a poster session at Hadron Collider Physics Symposium 2006 (HCP 2006), Duke University, Durham, NC, May 22-26 2006; 3 pages, 3 figures
null
null
null
hep-ex
null
Preliminary measurements of the cross-section for the processes ppbar --> W --> mu nu, e nu; ppbar --> Z --> mu mu, e e, tau tau from the D0 detector are presented. Integrated luminosities for these data samples are 96 pb-1 for W --> mu nu, 177.3 pb-1 for W --> e nu and Z --> e e, 148pb-1 for Z --> mu mu and 207 pb-1 for Z --> tau tau. A measurement of the muon charge asymmetry from W boson decays (integrated luminosity 230 pb-1) and Z/gamma* --> e e inclusive differential cross section as a function of boson rapidity (integrated luminosity 337 pb-1) are presented as well. The results are in generally good agreement with SM predictions.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 16:18:27 GMT" } ]
2007-07-16T00:00:00
[ [ "Popov", "Alexey", "", "IHEP, Protvino on behalf of D0 collaboration" ] ]
0707.2023
Yurii Lozovik
V.D. Mur, N.B. Narozhny, A.N. Petrosyan, Yu.E. Lozovik
Quantum Dot Version of Berry's Phase: Half-Integer Orbital Angular Momenta
4 pages, 2 figures
null
10.1134/S0021364008220116
null
cond-mat.mes-hall
null
We show that Berry's geometrical (topological) phase for circular quantum dots with an odd number of electrons is equal to \pi and that eigenvalues of the orbital angular momentum run over half-integer values. The non-zero value of the Berry's phase is provided by axial symmetry and two-dimensionality of the system. Its particular value (\pi) is fixed by the Pauli exclusion principle. Our conclusions agree with the experimental results of T. Schmidt {\it at el}, \PR B {\bf 51}, 5570 (1995), which can be considered as the first experimental evidence for the existence of a new realization of Berry's phase and half-integer values of the orbital angular momentum in a system of an odd number of electrons in circular quantum dots.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 14:53:13 GMT" } ]
2009-11-13T00:00:00
[ [ "Mur", "V. D.", "" ], [ "Narozhny", "N. B.", "" ], [ "Petrosyan", "A. N.", "" ], [ "Lozovik", "Yu. E.", "" ] ]
0707.2024
Tom Lancaster
T. Lancaster, S.J. Blundell, P.J. Baker, F.L. Pratt, W. Hayes, I. Yamada, M. Azuma and M. Takano
A muon-spin relaxation study of BiMnO3
10 pages, 4 figures
J Phys Condens Matter 19, 376203 (2007)
10.1088/0953-8984/19/37/376203
null
cond-mat.str-el
null
We present the results of muon-spin relaxation measurements on ferromagnetic BiMnO3. Below T_C=98.0(1) K oscillations in the time-dependence of the muon polarization are observed, characteristic of a quasistatic magnetic field at a single muon site, allowing us to probe the critical behaviour associated with the magnetic phase transition. We are able to suggest candidate muon sites on the basis of dipole field calculations. Close to T_C, fluctuations of the Mn^3+ moments are characteristic of critical behaviour while there is a sharp crossover to a region of fast dynamic fluctuations at higher temperatures.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 14:53:26 GMT" } ]
2007-11-14T00:00:00
[ [ "Lancaster", "T.", "" ], [ "Blundell", "S. J.", "" ], [ "Baker", "P. J.", "" ], [ "Pratt", "F. L.", "" ], [ "Hayes", "W.", "" ], [ "Yamada", "I.", "" ], [ "Azuma", "M.", "" ], [ "Takano", "M.", "" ] ]
0707.2025
Genkai Zhang
M. Englis, K. Guo, G. Zhang
Toeplitz and Hankel operators and Dixmier traces on the unit ball of \mathbb C^n
Proc. Amer. Math. Soc. to appear
null
null
null
math.CV math.FA
null
We compute the Dixmier trace of pseudo-Toeplitz operators on the Fock space. As an application we find a formula for the Dixmier trace of the product of commutators of Toeplitz operators on the Hardy and weighted Bergman spaces on the unit ball of \mathbb C^d. This generalizes an earlier work of Helton-Howe for the usual trace of the anti-symmetrization of Toeplitz operators.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 14:55:32 GMT" } ]
2007-07-16T00:00:00
[ [ "Englis", "M.", "" ], [ "Guo", "K.", "" ], [ "Zhang", "G.", "" ] ]
0707.2026
Dolors Herbera
Silvana Bazzoni and Dolors Herbera
Cotorsion pairs generated by modules of bounded projective dimension
30 Pages
null
null
null
math.RA math.RT
null
We apply the theory of cotorsion pairs to study closure properties of classes of modules with finite projective dimension with respect to direct limit operations and to filtrations. We also prove that if the ring is an order in an $\aleph_0$-noetherian ring Q of small finitistic dimension 0, then the cotorsion pair generated by the modules of projective dimension at most one is of finite type if and only if Q has big finitistic dimension 0. This applies, for example, to semiprime Goldie rings and Cohen Macaulay noetherian commutative rings.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 15:00:46 GMT" }, { "version": "v2", "created": "Fri, 9 Nov 2007 16:55:47 GMT" } ]
2011-11-10T00:00:00
[ [ "Bazzoni", "Silvana", "" ], [ "Herbera", "Dolors", "" ] ]
0707.2027
Damien Chablat
Philippe Wenger (IRCCyN), Damien Chablat (IRCCyN)
Workspace and Assembly modes in Fully-Parallel Manipulators : A Descriptive Study
null
Advances in Robot Kinematics and Computational Geometry (1998) 117-126
null
null
cs.RO
null
The goal of this paper is to explain, using a typical example, the distribution of the different assembly modes in the workspace and their effective role in the execution of trajectories. The singular and non-singular changes of assembly mode are described and compared to each other. The non-singular change of assembly mode is more deeply analysed and discussed in the context of trajectory planning. In particular, it is shown that, according to the location of the initial and final configurations with respect to the uniqueness domains in the workspace, there are three different cases to consider before planning a linking trajectory.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 15:04:13 GMT" } ]
2007-07-16T00:00:00
[ [ "Wenger", "Philippe", "", "IRCCyN" ], [ "Chablat", "Damien", "", "IRCCyN" ] ]
0707.2028
Keigo Fukumura
Keigo Fukumura, Demosthenes Kazanas
Mass Outflows from Dissipative Shocks in Hot Accretion Flows
25 pages, 10 black&white figures, Accepted to ApJ
null
10.1086/521578
null
astro-ph
null
We consider stationary, axisymmetric hydrodynamic accretion flows in Kerr geometry. As a plausible means of efficiently separating a small population of nonthermal particles from the bulk accretion flows, we investigate the formation of standing dissipative shocks, i.e. shocks at which fraction of the energy, angular momentum and mass fluxes do not participate in the shock transition of the flow that accretes onto the compact object but are lost into collimated (jets) or uncollimated (winds) outflows. The mass loss fraction (at a shock front) is found to vary over a wide range (0 - 95%) depending on flow's angular momentum and energy. On the other hand, the associated energy loss fraction appears to be relatively low (<1%) for a flow onto a non-rotating black hole case, whereas the fraction could be an order of magnitude higher (<10%) for a flow onto a rapidly-rotating black hole. By estimating the escape velocity of the outflowing particles with a mass-accretion rate relevant for typical active galactic nuclei, we find that nearly 10% of the accreting mass could escape to form an outflow in a disk around a non-rotating black hole, while as much as 50% of the matter may contribute to outflows in a disk around a rapidly-rotating black hole. In the context of disk-jet paradigm, our model suggests that shock-driven outflows from accretion can occur in regions not too far from a central engine. Our results imply that a shock front under some conditions could serve as a plausible site where (nonthermal) seed particles of the outflows (jets/winds) are efficiently decoupled from bulk accretion.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 19:48:57 GMT" } ]
2009-11-13T00:00:00
[ [ "Fukumura", "Keigo", "" ], [ "Kazanas", "Demosthenes", "" ] ]
0707.2029
Sebastian Stock
Sebastian Stock
Lifting SU(3)-structures to nearly parallel G_{2}-structures
10 pages
null
null
null
math.DG math-ph math.MP
null
Hitchin shows that half-flat SU(3)-structures on a 6-dimensional manifold M can be lifted to parallel G_{2}-structure on the product $M\times\mathbb{R}$. We show that Hitchin's approach can also be used to construct nearly parallel G_{2}-structures by lifting so-called nearly half-flat structures. These SU(3)-structures are described by pairs $(\omega,\phi)$ of stable 2- and 3-forms with $d\phi=\lambda\omega^{2}$ for some $\lambda\in\mathbb{R}\setminus\{0\}$.
[ { "version": "v1", "created": "Fri, 13 Jul 2007 15:13:43 GMT" } ]
2007-07-16T00:00:00
[ [ "Stock", "Sebastian", "" ] ]