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0707.2130
Nadine Badr
Nadine Badr
Gagliardo-Nirenberg inequalities on manifolds
15 pages
null
null
null
math.AP
null
We prove Gagliardo-Nirenberg inequalities on some classes of manifolds, Lie groups and graphs.
[ { "version": "v1", "created": "Sat, 14 Jul 2007 07:22:05 GMT" }, { "version": "v2", "created": "Fri, 28 Sep 2007 13:09:44 GMT" }, { "version": "v3", "created": "Wed, 2 Apr 2008 08:43:40 GMT" }, { "version": "v4", "created": "Wed, 9 Apr 2008 07:21:46 GMT" } ]
2008-04-09T00:00:00
[ [ "Badr", "Nadine", "" ] ]
0707.2131
A. M. Jayannavar
Arnab Saha and A. M. Jayannavar
Nonequilibrium Work distributions for a trapped Brownian particle in a time dependent magnetic field
4 pages and 5 figures
null
10.1103/PhysRevE.77.022105
null
cond-mat.stat-mech
null
We study the dynamics of a trapped, charged Brownian particle in presence of a time dependent magnetic field. We calculate work distributions for different time dependent protocols. In our problem thermodynamic work is related to variation of vector potential with time as opposed to the earlier studies where the work is related to time variation of the potentials which depends only on the coordinates of the particle. Using Jarzynski identity and Crook's equality we show that the free energy of the particle is independent of the magnetic field, thus complementing the Bohr-van Leeuwen theorem. We also show that our system exhibits a parametric resonance in certain parameter space.
[ { "version": "v1", "created": "Sat, 14 Jul 2007 07:38:24 GMT" } ]
2009-11-13T00:00:00
[ [ "Saha", "Arnab", "" ], [ "Jayannavar", "A. M.", "" ] ]
0707.2132
Chong Sheng Li
Hao Zhang, Chong Sheng Li, Zhao Li
Unparticle Physics and Supersymmetry Phenomenology
Version published in Physical Review D
Phys.Rev.D76:116003,2007
10.1103/PhysRevD.76.116003
null
hep-ph
null
We show a natural form of the interaction between unparticle and supersymmetry. Using the couplings of unparticle to supersymmetry presented, as examples, we calculate the differential decay rates for the processes ${\it {\tilde f}}\to {\it f}+{\cal U}_{3/2}$, ${\it {\tilde \chi}}^0\to{\it \gamma}+{\cal U}_{3/2}$, ${\it {\tilde \chi}}^\pm\to W^\pm+{\cal U}_{3/2}$ and ${\it {\tilde \chi}}^0\to Z^0+{\cal U}_{3/2}$. Finally, we discuss the phenomenological implication of our results and give some comments.
[ { "version": "v1", "created": "Sun, 15 Jul 2007 10:54:32 GMT" }, { "version": "v2", "created": "Wed, 18 Jul 2007 12:00:40 GMT" }, { "version": "v3", "created": "Thu, 16 Aug 2007 12:25:00 GMT" }, { "version": "v4", "created": "Fri, 17 Aug 2007 03:17:03 GMT" }, { "version": "v5", "created": "Tue, 30 Oct 2007 06:28:39 GMT" } ]
2008-11-26T00:00:00
[ [ "Zhang", "Hao", "" ], [ "Li", "Chong Sheng", "" ], [ "Li", "Zhao", "" ] ]
0707.2133
Sudipta Roy Barman
S. R. Barman, S. Banik, A. K. Shukla, C. Kamal and Aparna Chakrabarti
Martensitic transition, ferrimagnetism and Fermi surface nesting in Mn_2NiGa
Euro Physics Letters (accepted)
null
10.1209/0295-5075/80/57002
null
cond-mat.other
null
The electronic structure of Mn_2NiGa has been studied using density functional theory and photoemission spectroscopy. The lower temperature tetragonal martensitic phase with c/a= 1.25 is more stable compared to the higher temperature austenitic phase. Mn_2NiGa is ferrimagnetic in both phases. The calculated valence band spectrum, the optimized lattice constants and the magnetic moments are in good agreement with experiment. The majority-spin Fermi surface (FS) expands in the martensitic phase, while the minority-spin FS shrinks. FS nesting indicates occurrence of phonon softening and modulation in the martensitic phase.
[ { "version": "v1", "created": "Sat, 14 Jul 2007 08:44:28 GMT" }, { "version": "v2", "created": "Mon, 15 Oct 2007 18:24:00 GMT" } ]
2009-11-13T00:00:00
[ [ "Barman", "S. R.", "" ], [ "Banik", "S.", "" ], [ "Shukla", "A. K.", "" ], [ "Kamal", "C.", "" ], [ "Chakrabarti", "Aparna", "" ] ]
0707.2134
T Sengadir
T Sengadir
Semigroups on Frechet spaces and equations with infinite delays
14 pages
null
null
null
math.DS
null
In this paper, we show existence and uniqueness of a solution to a functional differential equation with infinite delay. We choose an appropriate Frechet space so as to cover a large class of functions to be used as initial functions to obtain existence and uniqueness of solutions.
[ { "version": "v1", "created": "Sat, 14 Jul 2007 08:57:53 GMT" } ]
2007-07-17T00:00:00
[ [ "Sengadir", "T", "" ] ]
0707.2135
P K Dutt, N Kishore Kumar and C S Upadhyay
P K Dutt, N Kishore Kumar and C S Upadhyay
Nonconforming h-p spectral element methods for elliptic problems
37 pages, 3 figures
null
null
null
math.NA
null
In this paper we show that we can use a modified version of the h-p spectral element method proposed in \cite{duttora1,duttom,duttora2,tomarth} to solve elliptic problems with general boundary conditions to exponential accuracy on polygonal domains using nonconforming spectral element functions. A geometrical mesh is used in a neighbourhood of the corners. With this mesh we seek a solution which minimizes the sum of a weighted squared norm of the residuals in the partial differential equation and the squared norm of the residuals in the boundary conditions in fractional Sobolev spaces and enforce continuity by adding a term which measures the jump in the function and its derivatives at inter-element boundaries, in fractional Sobolev norms, to the functional being minimized. In the neighbourhood of the corners, modified polar coordinates are used and a global coordinate system elsewhere. A stability estimate is derived for the functional which is minimized based on the regularity estimate in \cite{babguo1}. We examine how to parallelize the method and show that the set of common boundary values consists of the values of the function at the corners of the polygonal domain. The method is faster than that proposed in \cite{duttora1,duttom,tomarth} and the h-p finite element method and stronger error estimates are obtained.
[ { "version": "v1", "created": "Sat, 14 Jul 2007 09:07:54 GMT" } ]
2007-07-17T00:00:00
[ [ "Dutt", "P K", "" ], [ "Kumar", "N Kishore", "" ], [ "Upadhyay", "C S", "" ] ]
0707.2136
Bjorn Maurer and Jurgen Stuckrad
Bjorn Maurer and Jurgen Stuckrad
Reducing system of parameters and the Cohen--Macaulay property
7 pages
null
null
null
math.AC
null
Let $R$ be a local ring and let ($x_1\biss x_r$) be part of a system of parameters of a finitely generated $R$-module $M,$ where $r < \dim_R M$. We will show that if ($y_1\biss y_r$) is part of a reducing system of parameters of $M$ with $(y_1\biss y_r)M=(x_1\biss x_r)M$ then $(x_1\biss x_r)$ is already reducing. Moreover, there is such a part of a reducing system of parameters of $M$ iff for all primes $P\in \supp M \cap V_R(x_1\biss x_r)$ with $\dim_R R/P = \dim_R M -r$ the localization $M_P$ of $M$ at $P$ is an $r$-dimensional \cm\ module over $R_P$. Furthermore, we will show that $M$ is a \cm module iff $y_d$ is a non zero divisor on $M/(y_1\biss y_{d-1})M$, where $(y_1\biss y_d)$ is a reducing system of parameters of $M$ ($d := \dim_R M$).
[ { "version": "v1", "created": "Sat, 14 Jul 2007 09:14:33 GMT" } ]
2007-07-17T00:00:00
[ [ "Maurer", "Bjorn", "" ], [ "Stuckrad", "Jurgen", "" ] ]
0707.2137
Emilio Santos Corchero
Trevor W. Marshall and Emilio Santos
A classical model for a photodetector in the presence of electromagnetic vacuum fluctuations
14 pages, no figures
null
null
null
quant-ph
null
The main argument against the reality of the electromagnetic vacuum fluctuations is that they do not activate photon detectors. In order to meet this objection we propose a classical model of a photodetector which, in the simple case of a light signal with constant intensity, gives a counting rate which is a non-linear function of the intensity. For sufficiently large signal intensity, the counting rate is proportional to the intensity, in agreement with the standard quantum results, but there is a dark rate when the signal intensity is low.
[ { "version": "v1", "created": "Sat, 14 Jul 2007 09:55:25 GMT" } ]
2007-07-17T00:00:00
[ [ "Marshall", "Trevor W.", "" ], [ "Santos", "Emilio", "" ] ]
0707.2138
Rajendra Bhatia and Man-Duen Choi
Rajendra Bhatia and Man-Duen Choi
Corners of normal matrices
7 pages
null
null
null
math.RA
null
We study various conditions on matrices $B$ and $C$ under which they can be the off-diagonal blocks of a partitioned normal matrix.
[ { "version": "v1", "created": "Sat, 14 Jul 2007 10:12:54 GMT" } ]
2007-07-17T00:00:00
[ [ "Bhatia", "Rajendra", "" ], [ "Choi", "Man-Duen", "" ] ]
0707.2139
Mehdi Hassani
M. Avalin Charsooghi, Y. Azizi, M. Hassani, L. Mola-Zadeh Bidokhti
On a Result of Hardy and Ramanujan
Project Report. Accepted for publication in the Sarajevo Journal of Mathematics
null
null
null
math.NT math.GM
null
In this paper, we introduce some explicit approximations for the summation $\sum_{k\leq n}\Omega(k)$, where $\Omega(k)$ is the total number of prime factors of $k$.
[ { "version": "v1", "created": "Sat, 14 Jul 2007 10:14:46 GMT" }, { "version": "v2", "created": "Sat, 17 Nov 2007 08:28:53 GMT" } ]
2007-11-17T00:00:00
[ [ "Charsooghi", "M. Avalin", "" ], [ "Azizi", "Y.", "" ], [ "Hassani", "M.", "" ], [ "Bidokhti", "L. Mola-Zadeh", "" ] ]
0707.2140
T S S R K Rao
T s s R K Rao
Nice surjections on spaces of operators
8 pages
null
null
null
math.FA
null
A bounded linear operator is said to be nice if its adjoint preserves extreme points of the dual unit ball. Motivated by a description due to Labuschagne and Mascioni \cite{LM} of such maps for the space of compact operators on a Hilbert space, in this article we consider a description of nice surjections on ${\mathcal K}(X,Y)$ for Banach spaces $X,Y$. We give necessary and sufficient conditions when nice surjections are given by composition operators. Our results imply automatic continuity of these maps with respect to other topologies on spaces of operators. We also formulate the corresponding result for ${\mathcal L}(X,Y)$ thereby proving an analogue of the result from \cite{LM} for $L^p$ ($1 <p \neq 2 <\infty$) spaces. We also formulate results when nice operators are not of the canonical form, extending and correcting the results from \cite{KS}.
[ { "version": "v1", "created": "Sat, 14 Jul 2007 10:16:09 GMT" } ]
2007-07-17T00:00:00
[ [ "Rao", "T s s R K", "" ] ]
0707.2141
Amiya Mukherjee
Amiya Mukherjee
Gromov--Witten invariants and quantum cohomology
18 pages
null
null
null
math.AG
null
This article is an elaboration of a talk given at an international conference on Operator Theory, Quantum Probability, and Noncommutative Geometry held during December~20--23, 2004, at the Indian Statistical Institute, Kolkata. The lecture was meant for a general audience, and also prospective research students, the idea of the quantum cohomology based on the Gromov--Witten invariants. Of course there are many important aspects that are not discussed here.
[ { "version": "v1", "created": "Sat, 14 Jul 2007 10:28:22 GMT" } ]
2007-07-17T00:00:00
[ [ "Mukherjee", "Amiya", "" ] ]
0707.2142
V P Belavkin and L Gregory
V P Belavkin and L Gregory
Representations of homogeneous quantum L\'evy fields
12 pages
null
null
null
math.PR
null
We study homogeneous quantum L\'{e}vy processes and fields with independent additive increments over a noncommutative *-monoid. These are described by infinitely divisible generating state functionals, invariant with respect to an endomorphic injective action of a symmetry semigroup. A strongly covariant GNS representation for the conditionally positive logarithmic functionals of these states is constructed in the complex Minkowski space in terms of canonical quadruples and isometric representations on the underlying pre-Hilbert field space. This is of much use in constructing quantum stochastic representations of homogeneous quantum L\'{e}vy fields on It\^{o} monoids, which is a natural algebraic way of defining dimension free, covariant quantum stochastic integration over a space-time indexing set.
[ { "version": "v1", "created": "Sat, 14 Jul 2007 10:31:13 GMT" } ]
2007-07-17T00:00:00
[ [ "Belavkin", "V P", "" ], [ "Gregory", "L", "" ] ]
0707.2143
Remi Leandre
Remi Leandre
Malliavin calculus of Bismut type without probability
12 pages
null
null
null
math.PR
null
We translate in semigroup theory Bismut's way of the Malliavin calculus.
[ { "version": "v1", "created": "Sat, 14 Jul 2007 10:33:31 GMT" } ]
2007-07-17T00:00:00
[ [ "Leandre", "Remi", "" ] ]
0707.2144
Un Cig Ji
Un Cig Ji
Stochastic integral representations of quantum martingales on multiple Fock space
17 pages
null
null
null
math.PR
null
In this paper a quantum stochastic integral representation theorem is obtained for unbounded regular martingales with respect to multidimensional quantum noise. This simultaneously extends results of Parthasarathy and Sinha to unbounded martingales and those of the author to multidimensions.
[ { "version": "v1", "created": "Sat, 14 Jul 2007 10:37:11 GMT" } ]
2007-07-17T00:00:00
[ [ "Ji", "Un Cig", "" ] ]
0707.2145
Partha Sarathi Chakraborty and Arupkumar Pal
Partha Sarathi Chakraborty and Arupkumar Pal
On equivariant Dirac operators for $SU_q(2)$
11 pages
null
null
null
math.OA
null
We explain the notion of minimality for an equivariant spectral triple and show that the triple for the quantum SU(2) group constructed by Chakraborty and Pal in \cite{c-p1} is minimal. We also give a decomposition of the spectral triple constructed by Dabrowski {\it et al} \cite{dlssv} in terms of the minimal triple constructed in \cite{c-p1}.
[ { "version": "v1", "created": "Sat, 14 Jul 2007 10:43:17 GMT" } ]
2007-07-17T00:00:00
[ [ "Chakraborty", "Partha Sarathi", "" ], [ "Pal", "Arupkumar", "" ] ]
0707.2146
Arne Jensen and Gheorghe Nenciu
Arne Jensen and Gheorghe Nenciu
Schr\"odinger operators on the half line: Resolvent expansions and the Fermi golden rule at thresholds
17 pages, 2 figures
null
null
null
math-ph math.MP math.SP
null
We consider Schr\"odinger operators $H=- \d^2/\d r^2+V$ on $L^2([0,\infty))$ with the Dirichlet boundary condition. The potential $V$ may be local or non-local, with polynomial decay at infinity. The point zero in the spectrum of $H$ is classified, and asymptotic expansions of the resolvent around zero are obtained, with explicit expressions for the leading coefficients. These results are applied to the perturbation of an eigenvalue embedded at zero, and the corresponding modified form of the Fermi golden rule.
[ { "version": "v1", "created": "Sat, 14 Jul 2007 10:49:21 GMT" } ]
2007-07-17T00:00:00
[ [ "Jensen", "Arne", "" ], [ "Nenciu", "Gheorghe", "" ] ]
0707.2147
Franco Fagnola
Franco Fagnola, Veronica Umanita
Generators of Detailed Balance Quantum Markov Semigroups
31 pages
Infin. Dimens. Anal. Quantum Probab. Relat. Top. 10 (3) 2007, 335-363
10.1142/S0219025707002762
null
math-ph math.MP
null
For a quantum Markov semigroup $\T$ on the algebra $\B$ with a faithful invariant state $\rho$, we can define an adjoint $\widetilde{\T}$ with respect to the scalar product determined by $\rho$. In this paper, we solve the open problems of characterising adjoints $\widetilde{\T}$ that are also a quantum Markov semigroup and satisfy the detailed balance condition in terms of the operators $H,L_k$ in the Gorini Kossakowski Sudarshan Lindblad representation $\Ll(x)=i[H,x] - {1/2}\sum_k(L^*_kL_k x-2L^*_kxL_k + xL^*_kL_k)$ of the generator of $\T$. We study the adjoint semigroup with respect to both scalar products $<a,b> = \tr(\rho a^* b)$ and $<a,b> = \tr(\rho^{1/2} a^* \rho^{1/2}b)$.
[ { "version": "v1", "created": "Sat, 14 Jul 2007 11:02:27 GMT" }, { "version": "v2", "created": "Tue, 22 Apr 2008 12:46:39 GMT" } ]
2012-03-14T00:00:00
[ [ "Fagnola", "Franco", "" ], [ "Umanita", "Veronica", "" ] ]
0707.2148
Anthony Iarrobino jr
Mats Boij and Anthony Iarrobino
Reducible family of height three level algebras
20 pages. Minor revision
null
null
null
math.AC math.AG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Let $R=k[x_1,..., x_r]$ be the polynomial ring in $r$ variables over an infinite field $k$, and let $M$ be the maximal ideal of $R$. Here a \emph{level algebra} will be a graded Artinian quotient $A$ of $R$ having socle $Soc(A)=0:M$ in a single degree $j$. The Hilbert function $H(A)=(h_0,h_1,... ,h_j)$ gives the dimension $h_i=\dim_k A_i$ of each degree-$i$ graded piece of $A$ for $0\le i\le j$. The embedding dimension of $A$ is $h_1$, and the \emph{type} of $A$ is $\dim_k \Soc (A)$, here $h_j$. The family $\Levalg (H)$ of level algebra quotients of $R$ having Hilbert function $H$ forms an open subscheme of the family of graded algebras or, via Macaulay duality, of a Grassmannian. We show that for each of the Hilbert functions $H=H_1=(1,3,4,4)$ and $H=H_2=(1,3,6,8,9,3)$ the family $LevAlg (H)$ parametrizing level Artinian algebras of Hilbert function $H$ has several irreducible components. We show also that these examples each lift to points. However, in the first example, an irreducible Betti stratum for Artinian algebras becomes reducible when lifted to points. These were the first examples we obtained of multiple components for $\Levalg(H)$ in embedding dimension three. We also show that the second example is the first in an infinite sequence of examples of type three Hilbert functions $H(c)$ in which also the number of components of LevAlg(H) gets arbitrarily large. The first case where the phenomenon of multiple components can occur (i.e. the lowest embedding dimension and then the lowest type) is that of dimension three and type two. Examples of this first case have been obtained by the authors and also by J.-O. Kleppe.
[ { "version": "v1", "created": "Sat, 14 Jul 2007 13:16:16 GMT" }, { "version": "v2", "created": "Sat, 27 Sep 2008 14:58:49 GMT" } ]
2008-09-27T00:00:00
[ [ "Boij", "Mats", "" ], [ "Iarrobino", "Anthony", "" ] ]
0707.2149
Jochen Zahn
Jochen Zahn
Dispersion relations in quantum electrodynamics on the noncommutative Minkowski space
137 pages, 2 figures, PhD thesis
null
null
DESY-THESIS-2006-037
hep-th
null
We study field theories on the noncommutative Minkowski space with noncommuting time. The focus lies on dispersion relations in quantized interacting models in the Yang-Feldman formalism. In particular, we compute the two-point correlation function of the field strength in noncommutative quantum electrodynamics to second order. At this, we take into account the covariant coordinates that allow the construction of local gauge invariant quantities (observables). It turns out that this does not remove the well-known severe infrared problem, as one might have hoped. Instead, things become worse, since nonlocal divergences appear. We also show that these cancel in a supersymmetric version of the theory if the covariant coordinates are adjusted accordingly. Furthermore, we study the phi^3 and the Wess-Zumino model and show that the distortion of the dispersion relations is moderate for parameters typical for the Higgs field. We also disuss the formulation of gauge theories on noncommutative spaces and study classical electrodynamics on the noncommutative Minkowski space using covariant coordinates. In particular, we compute the change of the speed of light due to nonlinear effects in the presence of a background field. Finally, we examine the so-called twist approach to quantum field theory on the noncommutative Minkowski space and point out some conceptual problems of this approach.
[ { "version": "v1", "created": "Sat, 14 Jul 2007 11:16:04 GMT" } ]
2007-07-17T00:00:00
[ [ "Zahn", "Jochen", "" ] ]
0707.2150
Nejat Yilmaz
Nejat Tevfik Yilmaz
On the Symmetric Space Sigma-Model Kinematics
17 pages
Int.J.Mod.Phys.A22:2683-2695,2007
10.1142/S0217751X07036324
null
hep-th
null
The solvable Lie algebra parametrization of the symmetric spaces is discussed. Based on the solvable Lie algebra gauge two equivalent formulations of the symmetric space sigma model are studied. Their correspondence is established by inspecting the normalization conditions and deriving the field transformation laws.
[ { "version": "v1", "created": "Sat, 14 Jul 2007 13:03:54 GMT" } ]
2010-10-27T00:00:00
[ [ "Yilmaz", "Nejat Tevfik", "" ] ]
0707.2151
Francis Bonahon
Hua Bai (U. Georgia), Francis Bonahon (USC), Xiaobo Liu (Columbia U.)
Local representations of the quantum Teichmuller space
35 pages
null
null
null
math.GT math.QA
null
We introduce a certain type of representations for the quantum Teichmuller space of a punctured surface, which we call local representations. We show that, up to finitely many choices, these purely algebraic representations are classified by classical geometric data. We also investigate the family of intertwining operators associated to such a representations. In particular, we use these intertwiners to construct a natural fiber bundle over the Teichmuller space and its quotient under the action of the mapping class group. This construction also offers a convenient framework to exhibit invariants of surface diffeomorphisms.
[ { "version": "v1", "created": "Sat, 14 Jul 2007 13:03:58 GMT" } ]
2007-07-17T00:00:00
[ [ "Bai", "Hua", "", "U. Georgia" ], [ "Bonahon", "Francis", "", "USC" ], [ "Liu", "Xiaobo", "", "Columbia U." ] ]
0707.2152
Muhammad Tahir
M Tahir, K Sabeeh and A MacKinnon
Weiss oscillations in the electronic structure of modulated graphene
8 pages, 2 figures, accepted in J. Phys.: Conden. matt
null
10.1088/0953-8984/19/40/406226
null
cond-mat.mes-hall
null
We present a theoretical study of the electronic structure of modulated graphene in the presence of a perpendicular magnetic field. The density of states and the bandwidth for the Dirac electrons in this system are determined. The appearance of unusual Weiss oscillations in the bandwidth and density of states is the main focus of this work.
[ { "version": "v1", "created": "Sat, 14 Jul 2007 13:38:11 GMT" }, { "version": "v2", "created": "Mon, 17 Sep 2007 15:05:22 GMT" } ]
2009-11-13T00:00:00
[ [ "Tahir", "M", "" ], [ "Sabeeh", "K", "" ], [ "MacKinnon", "A", "" ] ]
0707.2153
Thomas Buchert
Thomas Buchert
Dark Energy from structure: a status report
Invited Review for a special Gen. Rel. Grav. issue on Dark Energy, 59 pages, 2 figures; matches published version
Gen.Rel.Grav.40:467-527,2008
10.1007/s10714-007-0554-8
null
gr-qc astro-ph hep-th
null
The effective evolution of an inhomogeneous universe model in any theory of gravitation may be described in terms of spatially averaged variables. In Einstein's theory, restricting attention to scalar variables, this evolution can be modeled by solutions of a set of Friedmann equations for an effective volume scale factor, with matter and backreaction source terms. The latter can be represented by an effective scalar field (`morphon field') modeling Dark Energy. The present work provides an overview over the Dark Energy debate in connection with the impact of inhomogeneities, and formulates strategies for a comprehensive quantitative evaluation of backreaction effects both in theoretical and observational cosmology. We recall the basic steps of a description of backreaction effects in relativistic cosmology that lead to refurnishing the standard cosmological equations, but also lay down a number of challenges and unresolved issues in connection with their observational interpretation. The present status of this subject is intermediate: we have a good qualitative understanding of backreaction effects pointing to a global instability of the standard model of cosmology; exact solutions and perturbative results modeling this instability lie in the right sector to explain Dark Energy from inhomogeneities. It is fair to say that, even if backreaction effects turn out to be less important than anticipated by some researchers, the concordance high-precision cosmology, the architecture of current N-body simulations, as well as standard perturbative approaches may all fall short in correctly describing the Late Universe.
[ { "version": "v1", "created": "Sat, 14 Jul 2007 14:23:00 GMT" }, { "version": "v2", "created": "Mon, 24 Sep 2007 10:56:21 GMT" }, { "version": "v3", "created": "Mon, 3 Dec 2007 15:16:22 GMT" } ]
2010-04-06T00:00:00
[ [ "Buchert", "Thomas", "" ] ]
0707.2154
Daniel Evans
D. A. Evans (1), M. J. Hardcastle (2), J. H. Croston (2) ((1) Harvard-Smithsonian Center for Astrophysics, (2) University of Hertfordshire)
X-Ray Nuclei in Radio Galaxies: Exploring the Roles of Hot and Cold Gas Accretion
7 pages, 2 figures; 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. Typo fixed and NASA financial support acknowledgment added
null
null
null
astro-ph
null
We present results from Chandra and XMM-Newton spectroscopic observations of the nuclei of z<0.5 radio galaxies and quasars from the 3CRR catalog, and examine in detail the dichotomy in the properties of low- and high-excitation radio galaxies. The X-ray spectra of low-excitation sources (those with weak or absent optical emission lines) are dominated by unabsorbed emission from a parsec-scale jet, with no contribution from accretion-related emission. These sources show no evidence for an obscuring torus, and are likely to accrete in a radiatively inefficient manner. High-excitation sources (those with prominent optical emission lines), on the other hand, show a significant contribution from a radiatively efficient accretion disk, which is heavily absorbed in the X-ray when they are oriented close to edge-on with respect to the observer. However, the low-excitation/high-excitation division does not correspond to the FRI/FRII division: thus the Fanaroff-Riley dichotomy remains a consequence of the interaction between the jet and the hot-gas environment through which it propagates. Finally, we suggest that accretion of the hot phase of the IGM is sufficient to power all low-excitation radio sources, while high-excitation sources require an additional contribution from cold gas that in turn forms the cold disk and torus. This model explains a number of properties of the radio-loud active galaxy population, and has important implications for AGN feedback mechanisms.
[ { "version": "v1", "created": "Mon, 16 Jul 2007 15:39:40 GMT" }, { "version": "v2", "created": "Thu, 2 Aug 2007 22:06:01 GMT" } ]
2007-08-03T00:00:00
[ [ "Evans", "D. A.", "" ], [ "Hardcastle", "M. J.", "" ], [ "Croston", "J. H.", "" ] ]
0707.2155
Arul Lakshminarayan
Arul Lakshminarayan
The modular multiplication operator and the quantized bakers maps
null
Phys. Rev. A 76, 042330 (2007)
10.1103/PhysRevA.76.042330
IITM/PH/TH/2007/7
quant-ph nlin.CD
null
The modular multiplication operator, a central subroutine in Shor's factoring algorithm, is shown to be a coherent superposition of two quantum bakers maps when the multiplier is 2. The classical limit of the maps being completely chaotic, it is shown that there exist perturbations that push the modular multiplication operator into regimes of generic quantum chaos with spectral fluctuations that are those of random matrices. For the initial state of relevance to Shor's algorithm we study fidelity decay due to phase and bit-flip errors in a single qubit and show exponential decay with shoulders at multiples or half-multiples of the order. A simple model is used to gain some understanding of this behavior.
[ { "version": "v1", "created": "Sat, 14 Jul 2007 14:40:33 GMT" } ]
2011-08-02T00:00:00
[ [ "Lakshminarayan", "Arul", "" ] ]
0707.2156
Bruce Reznick
Bruce Reznick
On Hilbert's construction of positive polynomials
null
null
null
null
math.AG math.NT
null
In 1888, Hilbert described how to find real polynomials in more than one variable which take only non-negative values but are not a sum of squares of polynomials. His construction was so restrictive that no explicit examples appeared until the late 1960s. We revisit and generalize Hilbert's construction and present many such polynomials.
[ { "version": "v1", "created": "Sat, 14 Jul 2007 15:15:54 GMT" } ]
2007-07-17T00:00:00
[ [ "Reznick", "Bruce", "" ] ]
0707.2157
Shung-ichi Ando
Shung-ichi Ando (Sungkyunkwan U.)
$pp \to pp\pi^0$ near threshold in pionless effective theory
15 pages, 7 figures; 6 references added, minor revision
Eur.Phys.J.A33:185-191,2007
10.1140/epja/i2007-10448-8
null
nucl-th hep-ph
null
The total cross section of the $pp\to pp\pi^0$ reaction near threshold is calculated in pionless effective field theory with a di-baryon and external pions. The amplitudes for a leading one-body and subleading contact neutral pion production vertex are obtained including the initial and final state interactions. After estimating a low-energy constant in the contact vertex, we compare our results for the total cross section with the experimental data.
[ { "version": "v1", "created": "Sat, 14 Jul 2007 15:33:52 GMT" }, { "version": "v2", "created": "Wed, 25 Jul 2007 02:49:52 GMT" } ]
2008-11-26T00:00:00
[ [ "Ando", "Shung-ichi", "", "Sungkyunkwan U." ] ]
0707.2158
Robert Kohn
Remy Cottet, Robert Kohn and David Nott
Variable Selection and Model Averaging in Semiparametric Overdispersed Generalized Linear Models
8 graphs 35 pages
null
null
null
stat.ME
null
We express the mean and variance terms in a double exponential regression model as additive functions of the predictors and use Bayesian variable selection to determine which predictors enter the model, and whether they enter linearly or flexibly. When the variance term is null we obtain a generalized additive model, which becomes a generalized linear model if the predictors enter the mean linearly. The model is estimated using Markov chain Monte Carlo simulation and the methodology is illustrated using real and simulated data sets.
[ { "version": "v1", "created": "Sat, 14 Jul 2007 16:00:44 GMT" } ]
2007-07-17T00:00:00
[ [ "Cottet", "Remy", "" ], [ "Kohn", "Robert", "" ], [ "Nott", "David", "" ] ]
0707.2159
Gerard Ben Arous
Gerard Ben Arous, Alice Guionnet
The spectrum of heavy-tailed random matrices
null
null
null
null
math.PR math-ph math.MP
null
Let $X_N$ be an $N\ts N$ random symmetric matrix with independent equidistributed entries. If the law $P$ of the entries has a finite second moment, it was shown by Wigner \cite{wigner} that the empirical distribution of the eigenvalues of $X_N$, once renormalized by $\sqrt{N}$, converges almost surely and in expectation to the so-called semicircular distribution as $N$ goes to infinity. In this paper we study the same question when $P$ is in the domain of attraction of an $\alpha$-stable law. We prove that if we renormalize the eigenvalues by a constant $a_N$ of order $N^{\frac{1}{\alpha}}$, the corresponding spectral distribution converges in expectation towards a law $\mu_\alpha$ which only depends on $\alpha$. We characterize $\mu_\alpha$ and study some of its properties; it is a heavy-tailed probability measure which is absolutely continuous with respect to Lebesgue measure except possibly on a compact set of capacity zero.
[ { "version": "v1", "created": "Sat, 14 Jul 2007 16:21:31 GMT" } ]
2007-07-17T00:00:00
[ [ "Arous", "Gerard Ben", "" ], [ "Guionnet", "Alice", "" ] ]
0707.2160
Seth Pettie
Seth Pettie
Splay Trees, Davenport-Schinzel Sequences, and the Deque Conjecture
null
null
null
null
cs.DS
null
We introduce a new technique to bound the asymptotic performance of splay trees. The basic idea is to transcribe, in an indirect fashion, the rotations performed by the splay tree as a Davenport-Schinzel sequence S, none of whose subsequences are isomorphic to fixed forbidden subsequence. We direct this technique towards Tarjan's deque conjecture and prove that n deque operations require O(n alpha^*(n)) time, where alpha^*(n) is the minimum number of applications of the inverse-Ackermann function mapping n to a constant. We are optimistic that this approach could be directed towards other open conjectures on splay trees such as the traversal and split conjectures.
[ { "version": "v1", "created": "Sat, 14 Jul 2007 16:38:08 GMT" } ]
2007-07-17T00:00:00
[ [ "Pettie", "Seth", "" ] ]
0707.2161
Andreas de Vries
Andreas de Vries
Algebraic hierarchy of logics unifying fuzzy logic and quantum logic
59 pages, 17 figures, lecture notes
null
null
null
math.LO
null
In this paper, a short survey about the concepts underlying general logics is given. In particular, a novel rigorous definition of a fuzzy negation as an operation acting on a lattice to render it into a fuzzy logic is presented. According to this definition, a fuzzy negation satisfies the weak double negation condition, requiring double negation to be expansive, the antitony condition, being equivalent to the disjunctive De Morgan law and thus warranting compatibility of negation with the lattice operations, and the Boolean boundary condition stating that the universal bounds of the lattice are the negation of each other. From this perspective, the most general logics are fuzzy logics, containing as special cases paraconsistent (quantum) logics, quantum logics, intuitionistic logics, and Boolean logics, each of which given by its own algebraic restrictions. New examples of a non-contradictory logic violating the conjunctive De Morgan law, and of a typical non-orthomodular fuzzy logic along with its explicit lattice representation are given.
[ { "version": "v1", "created": "Sat, 14 Jul 2007 17:21:47 GMT" } ]
2015-03-13T00:00:00
[ [ "de Vries", "Andreas", "" ] ]
0707.2162
Edvige Corbelli
Edvige Corbelli and Rene' A. M. Walterbos
Bar imprints on the inner gas kinematics of M33
20 pages, 12 figures, ApJ in press
null
10.1086/521618
null
astro-ph
null
We present measurements of the stellar and gaseous velocities in the central 5' of the Local Group spiral M33. The data were obtained with the ARC 3.5m telescope. Blue and red spectra with resolutions from 2 to 4\AA covering the principal gaseous emission and stellar absorption lines were obtained along the major and minor axes and six other position angles. The observed radial velocities of the ionized gas along the photometric major axis of M33 remain flat at ~22 km s^{-1} all the way into the center, while the stellar velocities show a gradual rise from zero to 22 km s^{-1} over that same region. The central star cluster is at or very close to the dynamical center, with a velocity that is in accordance with M33's systemic velocity to within our uncertainties. Velocities on the minor axis are non-zero out to about 1' from the center in both the stars and gas. Together with the major axis velocities, they point at significant deviations from circular rotation. The most likely explanation for the bulk of the velocity patterns are streaming motions along a weak inner bar with a PA close to that of the minor axis, as suggested by previously published IR photometric images. The presence of bar imprints in M33 implies that all major Local Group galaxies are barred. The non-circular motions over the inner 200 pc make it difficult to constrain the shape of M33's inner dark matter halo profile. If the non-circular motions we find in this nearby Sc galaxy are present in other more distant late-type galaxies, they might be difficult to recognize.
[ { "version": "v1", "created": "Sat, 14 Jul 2007 17:31:51 GMT" } ]
2009-11-13T00:00:00
[ [ "Corbelli", "Edvige", "" ], [ "Walterbos", "Rene' A. M.", "" ] ]
0707.2163
Hiroyuki Tamura
Hiroyuki Tamura, John G. S. Ramon, Eric R. Bittner, and Irene Burghardt
Phonon-driven ultrafast exciton dissociation at donor-acceptor polymer heterojunctions
null
null
10.1103/PhysRevLett.100.107402
null
cond-mat.soft
null
A quantum-dynamical analysis of phonon-driven exciton dissociation at polymer heterojunctions is presented, using a hierarchical electron-phonon model parameterized for three electronic states and 24 vibrational modes. Two interfering decay pathways are identified: a direct charge separation, and an indirect pathway via an intermediate bridge state. Both pathways depend critically on the dynamical interplay of high-frequency C=C stretch modes and low-frequency ring-torsional modes. The ultrafast, highly non-equilibrium dynamics is consistent with time-resolved spectroscopic observations.
[ { "version": "v1", "created": "Sat, 14 Jul 2007 17:42:07 GMT" } ]
2009-11-13T00:00:00
[ [ "Tamura", "Hiroyuki", "" ], [ "Ramon", "John G. S.", "" ], [ "Bittner", "Eric R.", "" ], [ "Burghardt", "Irene", "" ] ]
0707.2164
Jacob Eapen
Jacob Eapen, Ju Li and Sidney Yip
Beyond the Maxwell Limit: Thermal Conduction in Nanofluids with Percolating Fluid Structures
5 Pages, 3 Figures, In Review: APL, Accepted for presentation at "Nanofluids: Fundamentals and Applications", September 16-20, 2007, Copper Mountain, Colorado
Physical Review E, 76, 062501 (2007)
10.1103/PhysRevE.76.062501
null
cond-mat.mtrl-sci
null
In a well-dispersed nanofluid with strong cluster-fluid attraction, thermal conduction paths can arise through percolating amorphous-like interfacial structures. This results in a thermal conductivity enhancement beyond the Maxwell limit of 3*phi, with phi being the nanoparticle volume fraction. Our findings from non-equilibrium molecular dynamics simulations, which are amenable to experimental verification, can provide a theoretical basis for the development of future nanofluids.
[ { "version": "v1", "created": "Sat, 14 Jul 2007 18:03:11 GMT" } ]
2008-12-31T00:00:00
[ [ "Eapen", "Jacob", "" ], [ "Li", "Ju", "" ], [ "Yip", "Sidney", "" ] ]
0707.2165
Samson Saneblidze
Samson Saneblidze
Filtered Hirsch Algebras
29 pages, 2 figures, revised the definition of a Hirsch resolution, corrected typos
Transactions RMI, 170 (2016) 114-136
null
null
math.AT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Motivated by the cohomology theory of loop spaces, we consider a special class of higher order homotopy commutative differential graded algebras and construct the filtered Hirsch model for such an algebra $A$. When $x\in H(A)$ with $\mathbb{Z}$ coefficients and $x^{2}=0,$ the symmetric Massey products $% \langle x\rangle ^{n}$ with $n\geq 3$ have a finite order (whenever defined). However, if $\Bbbk $ is a field of characteristic zero, $\langle x\rangle ^{n}$ is defined and vanishes in $H(A\otimes \Bbbk )$ for all $n$. If $p$ is an odd prime, the Kraines formula $\langle x\rangle ^{p}=-\beta \mathcal{P}_{1}(x)$ lifts to $H^{\ast }(A\otimes {\mathbb{Z}}_{p}).$ Applications of the existence of polynomial generators in the loop homology and the Hochschild cohomology with a $G$-algebra structure are given.
[ { "version": "v1", "created": "Mon, 16 Jul 2007 07:36:11 GMT" }, { "version": "v10", "created": "Tue, 15 Mar 2011 07:44:43 GMT" }, { "version": "v11", "created": "Mon, 19 Mar 2012 12:31:03 GMT" }, { "version": "v12", "created": "Wed, 4 May 2016 11:53:54 GMT" }, { "version": "v2", "created": "Wed, 8 Aug 2007 14:55:02 GMT" }, { "version": "v3", "created": "Mon, 24 Sep 2007 16:01:18 GMT" }, { "version": "v4", "created": "Tue, 25 Sep 2007 10:36:32 GMT" }, { "version": "v5", "created": "Tue, 18 Mar 2008 13:46:07 GMT" }, { "version": "v6", "created": "Fri, 21 Mar 2008 17:55:54 GMT" }, { "version": "v7", "created": "Fri, 24 Oct 2008 19:13:11 GMT" }, { "version": "v8", "created": "Fri, 15 May 2009 17:59:34 GMT" }, { "version": "v9", "created": "Tue, 22 Feb 2011 12:09:29 GMT" } ]
2016-05-05T00:00:00
[ [ "Saneblidze", "Samson", "" ] ]
0707.2166
Reiner Hammer
R. Hammer and P. Ulmschneider
Chromospheric Dynamics and Line Formation
Lecture notes and review, held at Kodaikanal Winter School on Solar Physics, Dec 2006. This version contains corrected page numbers for some of the references
null
10.1063/1.2756786
null
astro-ph
null
The solar chromosphere is very dynamic, due to the presence of large amplitude hydrodynamic waves. Their propagation is affected by NLTE radiative transport in strong spectral lines, which can in turn be used to diagnose the dynamics of the chromosphere. We give a basic introduction into the equations of NLTE radiation hydrodynamics and describe how they are solved in current numerical simulations. The comparison with observation shows that one-dimensional codes can describe strong brightenings quite well, but the overall chromospheric dynamics appears to be governed by three-dimensional shock propagation.
[ { "version": "v1", "created": "Sat, 14 Jul 2007 18:54:52 GMT" } ]
2009-11-13T00:00:00
[ [ "Hammer", "R.", "" ], [ "Ulmschneider", "P.", "" ] ]
0707.2167
Ehud Meir
Ehud Meir
An explicit formula for the action of a finite group on a commutative ring
7 pages
Journal of Pure and Applied Algebra 211 (2007) 43-49
null
null
math.RA math.GR
null
Let G be a group which acts on a commutative ring k. We exhibit an induction formula which expresses an element x_G with tr_G(x_G)=1 by elements x_P with tr_P(x_P)=1, where P varies over prime order subgroups of P.
[ { "version": "v1", "created": "Sat, 14 Jul 2007 20:39:55 GMT" } ]
2007-07-17T00:00:00
[ [ "Meir", "Ehud", "" ] ]
0707.2168
Henning Esbensen
H. Esbensen, K. Hagino, P. Mueller, and H. Sagawa
Charge radius and dipole response of $^{11}$Li
6 pages, 3 figures
Phys.Rev.C76:024302,2007
10.1103/PhysRevC.76.024302
null
nucl-th
null
We investigate the consistency of the measured charge radius and dipole response of $^{11}$Li within a three-body model. We show how these observables are related to the mean square distance between the $^9$Li core and the center of mass of the two valence neutrons. In this representation we find by considering the effect of smaller corrections that the discrepancy between the results of the two measurements is of the order of 1.5$\sigma$. We also investigate the sensitivity to the three-body structure of $^{11}$Li and find that the charge radius measurement favors a model with a 50% s-wave component in the ground state of the two-neutron halo, whereas the dipole response is consistent with a smaller s-wave component of about 25% value.
[ { "version": "v1", "created": "Sat, 14 Jul 2007 20:44:03 GMT" } ]
2008-11-26T00:00:00
[ [ "Esbensen", "H.", "" ], [ "Hagino", "K.", "" ], [ "Mueller", "P.", "" ], [ "Sagawa", "H.", "" ] ]
0707.2169
Yehuda Pinchover
Yehuda Pinchover and Kyril Tintarev
On positive solutions of minimal growth for singular p-Laplacian with potential term
28 pages
null
null
null
math.AP math.SP
null
Let $\Omega$ be a domain in $\mathbb{R}^d$, $d\geq 2$, and $1<p<\infty$. Fix $V\in L_{\mathrm{loc}}^\infty(\Omega)$. Consider the functional $Q$ and its G\^{a}teaux derivative $Q^\prime$ given by Q(u):=\frac{1}{p}\int_\Omega (|\nabla u|^p+V|u|^p)\dx, Q^\prime (u):=-\nabla\cdot(|\nabla u|^{p-2}\nabla u)+V|u|^{p-2}u. It is assumed that $Q\geq 0$ on $C_0^\infty(\Omega)$. In a previous paper we discussed relations between the absence of weak coercivity of the functional $Q$ on $C_0^\infty(\Omega)$ and the existence of a generalized ground state. In the present paper we study further relationships between functional-analytic properties of the functional $Q$ and properties of positive solutions of the equation $Q^\prime (u)=0$.
[ { "version": "v1", "created": "Sat, 14 Jul 2007 21:03:51 GMT" } ]
2007-07-17T00:00:00
[ [ "Pinchover", "Yehuda", "" ], [ "Tintarev", "Kyril", "" ] ]
0707.2170
Takanori Sakamoto
T. Sakamoto, J. E. Hill, R. Yamazaki, L. Angelini, H. A. Krimm, G. Sato, S. Swindell, K. Takami, J. P. Osborne
Evidence of Exponential Decay Emission in the Swift Gamma-ray Bursts
33 pages, 34 figures; accepted for publication in ApJ
null
10.1086/521640
null
astro-ph
null
We present a systematic study of the steep decay emission from gamma-ray bursts (GRBs) observed by the Swift X-Ray Telescope (XRT). In contrast to the analysis described in recent literature, we produce composite Burst Alert Telescope (BAT) and XRT light curves by extrapolating the XRT data (2-10 keV) into the BAT energy range (15-25 keV) rather than extrapolating the BAT data into the XRT energy band (0.3-10 keV). Based on the fits to the composite light curves, we have confirmed the existence of an exponential decay component which smoothly connects the BAT prompt data to the XRT steep decay for several GRBs. We also find that the XRT steep decay for some of the bursts can be well fit by a combination of a power-law with an exponential decay model. We discuss this exponential component within the frame work of both the internal and the external shock model.
[ { "version": "v1", "created": "Sat, 14 Jul 2007 21:04:17 GMT" } ]
2009-11-13T00:00:00
[ [ "Sakamoto", "T.", "" ], [ "Hill", "J. E.", "" ], [ "Yamazaki", "R.", "" ], [ "Angelini", "L.", "" ], [ "Krimm", "H. A.", "" ], [ "Sato", "G.", "" ], [ "Swindell", "S.", "" ], [ "Takami", "K.", "" ], [ "Osborne", "J. P.", "" ] ]
0707.2171
Maxim M. Korshunov
M.A. Korshunov
Influence of Vacancies on the Nanoparticle Pulsation
2 pages
null
null
null
cond-mat.soft cond-mat.dis-nn cond-mat.other
null
Computer modeling of the one-dimensional and three-dimensional nanoparticles with Van-der-Waals interaction was performed. The arrangement of atoms was defined on the grounds of an energy minimum. The calculations have shown that in the presence of vacancies in a nanoparticle and the account of a relaxation and oscillations the nanoparticle will pulse. This pulsation on distance between atoms of a nanoparticle is observed in both one-dimensional and a three-dimensional cases.
[ { "version": "v1", "created": "Sat, 14 Jul 2007 21:13:16 GMT" } ]
2007-07-17T00:00:00
[ [ "Korshunov", "M. A.", "" ] ]
0707.2172
Luis Alvarez-Ruso
L. Alvarez-Ruso, L. S. Geng, M. J. Vicente Vacas
Neutral current coherent pion production
4 pages, 3 figures, minor corrections, a few references added
Phys.Rev.C76:068501,2007; Erratum-ibid.C80:029904,2009
10.1103/PhysRevC.76.068501 10.1103/PhysRevC.80.029904
null
nucl-th hep-ex hep-ph nucl-ex
null
We investigate the neutrino induced coherent pion production reaction at low and intermediate energies. The model includes pion, nucleon and Delta(1232) resonance as the relevant hadronic degrees of freedom. Nuclear medium effects on the production mechanisms and pion distortion are taken into account. We obtain that the dominance of the Delta excitation holds due to large cancellations among the background contributions. We consider two sets of vector and axial-vector N-Delta transition form-factors, evidencing the strong sensitivity of the results to the axial coupling C5A(0). The differences between neutrino and antineutrino cross sections, emerging from interference terms, are also discussed.
[ { "version": "v1", "created": "Sat, 14 Jul 2007 21:13:42 GMT" }, { "version": "v2", "created": "Mon, 28 Jan 2008 18:02:12 GMT" } ]
2014-11-18T00:00:00
[ [ "Alvarez-Ruso", "L.", "" ], [ "Geng", "L. S.", "" ], [ "Vacas", "M. J. Vicente", "" ] ]
0707.2173
Dragomir Z. Djokovic
Dragomir Z. Djokovic
Cyclic (v;r,s;lambda) difference families with two base blocks and v <= 50
39 pages, 6 tables. Minor corrections, a new SDS inserted. Abridged version to appear in Annals of Combinatorics
Ann. Comb. 15 (2011) 233-254
10.1007/s00026-011-0092-7
null
math.CO
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We construct many new cyclic (v;r,s;lambda) difference families with v less than or equal 50. In particular we construct the difference families with parameters (45;18,10;9), (45;22,22;21), (47;21,12;12), (47;19,15;12), (47;22,14;14), (48;20,10;10), (48;24,4;12), (50;25,20;20) for which the existence question was an open problem. The (45;22,22;21) difference family gives a BIBD with parameters v=45, b=90, r=44, k=22 and lambda=21, and the one with parameters (50;25,20;20) gives a pair of binary sequences of length 50 with zero periodic autocorrelation function (the periodic analog of a Golay pair). We also construct nine new D-optimal designs. A normal form for cyclic difference families is proposed and used effectively in compiling the list of known and new difference families.
[ { "version": "v1", "created": "Sat, 14 Jul 2007 21:26:13 GMT" }, { "version": "v2", "created": "Thu, 22 Nov 2007 19:49:23 GMT" }, { "version": "v3", "created": "Tue, 17 Mar 2009 23:18:47 GMT" }, { "version": "v4", "created": "Mon, 30 Mar 2009 04:47:15 GMT" } ]
2018-01-24T00:00:00
[ [ "Djokovic", "Dragomir Z.", "" ] ]
0707.2174
Christopher Pope
G.W. Gibbons, Joaquim Gomis, C.N. Pope
General Very Special Relativity is Finsler Geometry
4 pages, minor corrections, references added
Phys.Rev.D76:081701,2007
10.1103/PhysRevD.76.081701
DAMTP-2007-68, UB-ECM-PF-07-17, MIFP-07-18
hep-th gr-qc hep-ph
null
We ask whether Cohen and Glashow's Very Special Relativity model for Lorentz violation might be modified, perhaps by quantum corrections, possibly producing a curved spacetime with a cosmological constant. We show that its symmetry group ISIM(2) does admit a 2-parameter family of continuous deformations, but none of these give rise to non-commutative translations analogous to those of the de Sitter deformation of the Poincar\'e group: spacetime remains flat. Only a 1-parameter family DISIM_b(2) of deformations of SIM(2) is physically acceptable. Since this could arise through quantum corrections, its implications for tests of Lorentz violations via the Cohen-Glashow proposal should be taken into account. The Lorentz-violating point particle action invariant under DISIM_b(2) is of Finsler type, for which the line element is homogeneous of degree 1 in displacements, but anisotropic. We derive DISIM_b(2)-invariant wave equations for particles of spins 0, 1/2 and 1. The experimental bound, $|b|<10^{-26}$, raises the question ``Why is the dimensionless constant $b$ so small in Very Special Relativity?''
[ { "version": "v1", "created": "Sat, 14 Jul 2007 21:46:54 GMT" }, { "version": "v2", "created": "Mon, 20 Aug 2007 09:08:13 GMT" } ]
2008-11-26T00:00:00
[ [ "Gibbons", "G. W.", "" ], [ "Gomis", "Joaquim", "" ], [ "Pope", "C. N.", "" ] ]
0707.2175
Chenchang Zhu
Henrique Bursztyn, Chenchang Zhu
Morita equivalence of Poisson manifold via stack groupoids
4 pages, to appear in the Oberwolfach Reports
Oberwolfach Reports. Vol. 4, no. 2. Oberwolfach Rep. 4 (2007), no. 2, 1243--1298. 53D17 (53-06)
null
null
math.DG math.SG
null
This is a condensed exposition of the results of a future work, based on a talk of the second author at the Oberwolfach workshop "Poisson Geometry", April 30--4 May 2007.
[ { "version": "v1", "created": "Sat, 14 Jul 2007 22:20:10 GMT" } ]
2009-12-10T00:00:00
[ [ "Bursztyn", "Henrique", "" ], [ "Zhu", "Chenchang", "" ] ]
0707.2176
Prakash Ishwar
Masoud Sharif and Prakash Ishwar
Benefit of Delay on the Diversity-Multiplexing Tradeoffs of MIMO Channels with Partial CSI
5 pages, 2 figures, to appear in the Proceedings of the IEEE International Symposium on Information Theory, Nice, France, 24-29 June, 2007
null
null
null
cs.IT math.IT
null
This paper re-examines the well-known fundamental tradeoffs between rate and reliability for the multi-antenna, block Rayleigh fading channel in the high signal to noise ratio (SNR) regime when (i) the transmitter has access to (noiseless) one bit per coherence-interval of causal channel state information (CSI) and (ii) soft decoding delays together with worst-case delay guarantees are acceptable. A key finding of this work is that substantial improvements in reliability can be realized with a very short expected delay and a slightly longer (but bounded) worst-case decoding delay guarantee in communication systems where the transmitter has access to even one bit per coherence interval of causal CSI. While similar in spirit to the recent work on communication systems based on automatic repeat requests (ARQ) where decoding failure is known at the transmitter and leads to re-transmission, here transmit side-information is purely based on CSI. The findings reported here also lend further support to an emerging understanding that decoding delay (related to throughput) and codeword blocklength (related to coding complexity and delays) are distinctly different design parameters which can be tuned to control reliability.
[ { "version": "v1", "created": "Sat, 14 Jul 2007 22:42:02 GMT" } ]
2007-07-17T00:00:00
[ [ "Sharif", "Masoud", "" ], [ "Ishwar", "Prakash", "" ] ]
0707.2177
Eric J West
Cristian Armendariz-Picon, Mark Trodden, Eric J. West
Preheating in Derivatively-Coupled Inflation Models
10 pages, 9 figures
JCAP0804:036,2008
10.1088/1475-7516/2008/04/036
null
hep-ph astro-ph
null
We study preheating in theories where the inflaton couples derivatively to scalar and gauge fields. Such couplings may dominate in natural models of inflation, in which the flatness of the inflaton potential is related to an approximate shift symmetry of the inflaton. We compare our results with previously studied models with non-derivative couplings. For sufficiently heavy scalar matter, parametric resonance is ineffective in reheating the universe, because the couplings of the inflaton to matter are very weak. If scalar matter fields are light, derivative couplings lead to a mild long-wavelength instability that drives matter fields to non-zero expectation values. In this case however, long-wavelength fluctuations of the light scalar are produced during inflation, leading to a host of cosmological problems. In contrast, axion-like couplings of the inflaton to a gauge field do not lead to production of long-wavelength fluctuations during inflation. However, again because of the weakness of the couplings to the inflaton, parametric resonance is not effective in producing gauge field quanta.
[ { "version": "v1", "created": "Mon, 16 Jul 2007 19:29:28 GMT" }, { "version": "v2", "created": "Tue, 27 Nov 2007 22:56:19 GMT" } ]
2008-11-26T00:00:00
[ [ "Armendariz-Picon", "Cristian", "" ], [ "Trodden", "Mark", "" ], [ "West", "Eric J.", "" ] ]
0707.2178
Peter Muys
Peter Muys
Stimulated radiative laser cooling
null
null
10.1134/s11490-008-4012-4
null
physics.optics
null
Building a refrigerator based on the conversion of heat into optical energy is an ongoing engineering challenge. Under well-defined conditions, spontaneous anti-Stokes fluorescence of a dopant material in a host matrix is capable of lowering the host temperature. The fluorescence is conveying away a part of the thermal energy stored in the vibrational oscillations of the host lattice. In particular, applying this principle to the cooling of (solid-state) lasers opens up many potential device applications, especially in the domain of high-power lasers. In this paper, an alternative optical cooling scheme is outlined, leading to radiative cooling of solid-state lasers. It is based on converting the thermal energy stored in the host, into optical energy by means of a stimulated nonlinear process, rather than a spontaneous process. This should lead to better cooling efficiencies and a higher potential of applying the principle for device applications.
[ { "version": "v1", "created": "Sat, 14 Jul 2007 23:04:59 GMT" } ]
2009-11-13T00:00:00
[ [ "Muys", "Peter", "" ] ]
0707.2179
E. T. Tomboulis
E. T. Tomboulis
Confinement for all values of the coupling in four-dimensional SU(2) gauge theory
49 pages, 3 figures
null
null
null
hep-th hep-lat
null
A derivation is given from first principles of the fact that the SU(2) gauge theory is in a confining phase for all values of the coupling $0 < g < \infty$ defined at lattice spacing (UV regulator) $a$, and space-time dimension $d \leq 4$. The strategy is to employ approximate RG decimation transformations of the potential moving type which give both upper and lower bounds on the partition function at each successive decimation step. By interpolation between these bounds an exact representation of the partition function is obtained on progressively coarser lattices. In the same manner, one obtains a representation of the partition function in the presence of external center flux. Under successive decimations the flow of the effective action in these representations is constrained by that in the upper and lower bounds which are easily explicitly computable. Confining behavior for the vortex free energy order parameter (ratio of partition functions with and without external flux), hence `area law' for the Wilson loop, is the result for any initial coupling. Keeping the string tension fixed determines the dependence $g(a)$, which is such that $g(a) \to 0$ for $a \to 0$.
[ { "version": "v1", "created": "Sun, 15 Jul 2007 18:37:41 GMT" } ]
2007-07-17T00:00:00
[ [ "Tomboulis", "E. T.", "" ] ]
0707.2180
Akiyuki Matsushita
Akiyuki Matsushita, Kazunori Fukuda, Yuh Yamada, Fumihiro Ishikawa, Syun Sekiya, Masato Hedo, Takashi Naka
Physical properties of a new cuprate superconductor Pr_2Ba_4Cu_7O_{15-\delta}
Science and Technology of Advanced Materials (in press)
null
10.1016/j.stam.2007.07.003
null
cond-mat.supr-con
null
We present studies of the thermal, magnetic and electrical transport properties of reduced polycrystalline Pr_2Ba_4Cu_7O_{15-\delta} (Pr247) showing a superconducting transition at Tc = 10 - 16 K and compare them with those of as-sintered non-superconducting Pr247. The electrical resistivity in the normal state exhibited T2 dependence up to approximately 150 K. A clear specific heat anomaly was observed at Tc for Pr247 reduced in a vacuum for 24 hrs, proving the bulk nature of the superconducting state. By the reduction treatment, the magnetic ordering temperature TN of Pr moments decreased from 16 to 11 K, and the entropy associated with the ordering increased, while the effective paramagnetic moments obtained from the DC magnetic susceptibility varied from 2.72 to 3.13 mB. The sign of Hall coefficient changed from positive to negative with decreasing temperature in the normal state of a superconducting Pr247, while that of as-sintered one was positive down to 5 K. The electrical resistivity under high magnetic fields was found to exhibit T^a dependence (a = 0.08 - 0.4) at low temperatures. A possibility of superconductivity in the so-called CuO double chains is discussed.
[ { "version": "v1", "created": "Sun, 15 Jul 2007 03:35:23 GMT" } ]
2009-11-13T00:00:00
[ [ "Matsushita", "Akiyuki", "" ], [ "Fukuda", "Kazunori", "" ], [ "Yamada", "Yuh", "" ], [ "Ishikawa", "Fumihiro", "" ], [ "Sekiya", "Syun", "" ], [ "Hedo", "Masato", "" ], [ "Naka", "Takashi", "" ] ]
0707.2181
I. L. Buchbinder
I.L. Buchbinder, V.A. Krykhtin, H. Takata
Gauge invariant Lagrangian construction for massive bosonic mixed symmetry higher spin fields
v2: 15 pages, references added, minor changes, version accepted for publication in PLB
Phys.Lett.B656:253-264,2007
10.1016/j.physletb.2007.09.033
null
hep-th
null
We develop the BRST approach to gauge invariant Lagrangian construction for the massive mixed symmetry integer higher spin fields described by the rank-two Young tableaux in arbitrary dimensional Minkowski space. The theory is formulated in terms of auxiliary Fock space. No off-shell constraints on the fields and the gauge parameters are imposed. The approach under consideration automatically leads to a gauge invariant Lagrangian for massive theory with all appropriate Stuckelberg fields. It is shown that all the restrictions defining an irreducible representation of the Poincare group arise from Lagrangian formulation as a consequence of the equations of motion and gauge transformations. As an example of the general procedure, we derive the gauge-invariant Lagrangian for massive rank-2 antisymmetric tensor field containing the complete set of auxiliary fields and gauge parameters.
[ { "version": "v1", "created": "Sun, 15 Jul 2007 04:40:59 GMT" }, { "version": "v2", "created": "Mon, 24 Sep 2007 15:00:11 GMT" } ]
2008-11-26T00:00:00
[ [ "Buchbinder", "I. L.", "" ], [ "Krykhtin", "V. A.", "" ], [ "Takata", "H.", "" ] ]
0707.2182
Massimiliano Laddomada Ph.D.
Massimiliano Laddomada
Design of Multistage Decimation Filters Using Cyclotomic Polynomials: Optimization and Design Issues
Submitted to CAS-I, July 07; 11 pages, 5 figures, 3 tables
null
null
null
cs.OH
null
This paper focuses on the design of multiplier-less decimation filters suitable for oversampled digital signals. The aim is twofold. On one hand, it proposes an optimization framework for the design of constituent decimation filters in a general multistage decimation architecture. The basic building blocks embedded in the proposed filters belong, for a simple reason, to the class of cyclotomic polynomials (CPs): the first 104 CPs have a z-transfer function whose coefficients are simply {-1,0,+1}. On the other hand, the paper provides a bunch of useful techniques, most of which stemming from some key properties of CPs, for designing the proposed filters in a variety of architectures. Both recursive and non-recursive architectures are discussed by focusing on a specific decimation filter obtained as a result of the optimization algorithm. Design guidelines are provided with the aim to simplify the design of the constituent decimation filters in the multistage chain.
[ { "version": "v1", "created": "Sun, 15 Jul 2007 05:35:32 GMT" } ]
2007-07-17T00:00:00
[ [ "Laddomada", "Massimiliano", "" ] ]
0707.2183
Alexey Nenashev
A. V. Nenashev and A. V. Dvurechenskii
Strain distribution in quantum dot of arbitrary polyhedral shape: Analytical solution in closed form
revtex4, 12 pages, 6 figures; Ch. II rewritten, new Ch. V added, errors in Eq.(13) and Eq.(22) fixed
J. Appl. Phys. 107, 064322 (2010)
10.1063/1.3357302
null
cond-mat.other
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
An analytical expression of the strain distribution due to lattice mismatch is obtained in an infinite isotropic elastic medium (a matrix) with a three-dimensional polyhedron-shaped inclusion (a quantum dot). The expression was obtained utilizing the analogy between electrostatic and elastic theory problems. The main idea lies in similarity of behavior of point charge electric field and the strain field induced by point inclusion in the matrix. This opens a way to simplify the structure of the expression for the strain tensor. In the solution, the strain distribution consists of contributions related to faces and edges of the inclusion. A contribution of each face is proportional to the solid angle at which the face is seen from the point where the strain is calculated. A contribution of an edge is proportional to the electrostatic potential which would be induced by this edge if it is charged with a constant linear charge density. The solution is valid for the case of inclusion having the same elastic constants as the matrix. Our method can be applied also to the case of semi-infinite matrix with a free surface. Three particular cases of the general solution are considered--for inclusions of pyramidal, truncated pyramidal, and "hut-cluster" shape. In these cases considerable simplification was achieved in comparison with previously published solutions. A generalization of the obtained solution to the case of anisotropic media is discussed.
[ { "version": "v1", "created": "Sun, 15 Jul 2007 15:07:48 GMT" }, { "version": "v2", "created": "Sun, 29 Nov 2009 16:08:36 GMT" } ]
2013-08-27T00:00:00
[ [ "Nenashev", "A. V.", "" ], [ "Dvurechenskii", "A. V.", "" ] ]
0707.2184
Abdurrouf Abdurrouf
F.H.M. Faisal and A. Abdurrouf
Interplay of polarization geometry and rotational dynamics in high harmonic generation from coherently rotating linear molecule
4 pages, 5 figures
null
10.1103/PhysRevLett.100.123005
null
physics.atm-clus
null
Recent reports on intense-field pump-probe experiments for high harmonic generation from coherently rotating linear molecules, have revealed remarkable characteristic effects of the simultaneous variation of the polarization geometry and the time delay on the high harmonic signals. We analyze the effects and give a unified theoretical account of the experimental observations
[ { "version": "v1", "created": "Sun, 15 Jul 2007 06:54:35 GMT" } ]
2009-11-13T00:00:00
[ [ "Faisal", "F. H. M.", "" ], [ "Abdurrouf", "A.", "" ] ]
0707.2185
Damien Chablat
Sylvain Guegan (IRCCyN), Wisama Khalil (IRCCyN), Damien Chablat (IRCCyN), Philippe Wenger (IRCCyN)
Mod\'elisation Dynamique d'un Robot Parall\`ele \`a 3-DDL : l'Orthoglide
null
Conf\'erence Internationale Francophone d'Automatique (07/2002) 1-6
null
null
cs.RO
null
In this article, we propose a method for calculation of the inverse and direct dynamic models of the Orthoglide, a parallel robot with threedegrees of freedom in translation. These models are calculated starting from the elements of the dynamic model of the kinematic chain structure and equations of Newton-Euler applied to the platform. These models are obtained in explicit form having an interesting physical interpretation.
[ { "version": "v1", "created": "Sun, 15 Jul 2007 07:14:51 GMT" } ]
2007-07-17T00:00:00
[ [ "Guegan", "Sylvain", "", "IRCCyN" ], [ "Khalil", "Wisama", "", "IRCCyN" ], [ "Chablat", "Damien", "", "IRCCyN" ], [ "Wenger", "Philippe", "", "IRCCyN" ] ]
0707.2186
Matyas Barczy
Matyas Barczy, Gyula Pap
Weakly infinitely divisible measures on some locally compact Abelian groups
15 pages; added references and corrected typos
Lithuanian Mathematical Journal, Vol. 48, No. 1, 2008, 17-29
null
null
math.PR math.GR
null
On the torus group, on the group of p-adic integers and on the p-adic solenoid, we give a construction of an arbitrary weakly infinitely divisible probability measure using a random element with values in a product of (possibly infinitely many) subgroups of the real numbers. As a special case of our results, we have a new construction of the Haar measure on the p-adic solenoid.
[ { "version": "v1", "created": "Sun, 15 Jul 2007 07:27:02 GMT" }, { "version": "v2", "created": "Thu, 28 Feb 2008 06:58:17 GMT" } ]
2008-02-28T00:00:00
[ [ "Barczy", "Matyas", "" ], [ "Pap", "Gyula", "" ] ]
0707.2187
Nozomu Tominaga
K. Nomoto, N. Tominaga, M. Tanaka, K. Maeda, and H. Umeda
Nucleosynthesis in Core-Collapse Supernovae and GRB--Metal-Poor Star Connection
15 pages, 9 figures. To appear in "Supernova 1987A: 20 Years After: Supernovae and Gamma-Ray Bursters", eds. S. Immler, K. Weiler, & R. McCray (American Institute of Physics) (2007)
AIP Conf.Proc.937:412-426,2007
10.1063/1.2803601
null
astro-ph
null
We review the nucleosynthesis yields of core-collapse supernovae (SNe) for various stellar masses, explosion energies, and metallicities. Comparison with the abundance patterns of metal-poor stars provides excellent opportunities to test the explosion models and their nucleosynthesis. We show that the abundance patterns of extremely metal-poor (EMP) stars, e.g., the excess of C, Co, Zn relative to Fe, are in better agreement with the yields of hyper-energetic explosions (Hypernovae, HNe) rather than normal supernovae. We note that the variation of the abundance patterns of EMP stars are related to the diversity of the Supernova-GRB connection. We summarize the diverse properties of (1) GRB-SNe, (2) Non-GRB HNe/SNe, (3) XRF-SN, and (4) Non-SN GRB. In particular, the Non-SN GRBs (dark hypernovae) have been predicted in order to explain the origin of C-rich EMP stars. We show that these variations and the connection can be modeled in a unified manner with the explosions induced by relativistic jets. Finally, we examine whether the most luminous supernova 2006gy can be consistently explained with the pair-instability supernova model.
[ { "version": "v1", "created": "Sun, 15 Jul 2007 08:10:00 GMT" } ]
2009-06-23T00:00:00
[ [ "Nomoto", "K.", "" ], [ "Tominaga", "N.", "" ], [ "Tanaka", "M.", "" ], [ "Maeda", "K.", "" ], [ "Umeda", "H.", "" ] ]
0707.2188
Kenji Bekki dr
Kenji Bekki
On the Origin of the Kinematical Differences Between the Stellar Halo and the Old Globular Cluster System in the Large Magellanic Cloud
10 pages, 8 figures, accepted by MNRAS
null
10.1111/j.1365-2966.2007.12219.x
null
astro-ph
null
We discuss structural and kinematical properties of the stellar halo and the old globular cluster system (GCS) in the Large Magellanic Cloud (LMC) based on numerical simulations of the LMC formation. We particularly discuss the observed possible GCS's rotational kinematics (V/sigma > 2) that appears to be significantly different from the stellar halo's one with a large velocity dispersion (~50 km/s). We consider that both halo field stars and old GCs can originate from low-mass subhalos virialized at high redshifts (z >6). We investigate the final dynamical properties of the two old components in the LMC's halo formed from merging of low-mass subhalos with field stars and GCs. We find that the GCS composed of old globular clusters (GCs) formed at high redshifts (z > 6) has little rotation (V/sigma ~0.4) and structure and kinematics similar to those of the stellar halo. This inconsistency between the simulated GCS's kinematics and the observed one is found to be seen in models with different parameters. This inconsistency therefore implies that if old, metal-poor GCs in the LMC have rotational kinematics, they are highly unlikely to originate from the low-mass subhalos that formed the stellar halo. We thus discuss a scenario in which the stellar halo was formed from low-mass subhalos with no/few GCs whereas the GCS was formed at the very early epoch of the LMC's disk formation via dissipative minor and major merging of gas-rich subhalos and gas infall. We suggest that there can be a threshold subhalo mass above which GCs can be formed within subhalos at high redshifts and thus that this threshold causes differences in physical properties between stellar halos and GCSs in less luminous galaxies like the LMC.
[ { "version": "v1", "created": "Sun, 15 Jul 2007 08:33:48 GMT" } ]
2009-11-13T00:00:00
[ [ "Bekki", "Kenji", "" ] ]
0707.2189
Jose Capco
Jose Capco
Real Closed Rings and Real Closed * Rings
null
null
null
null
math.RA math.AC
null
Here we try to distinguish and compare different notions of real closedness mainly one developed by N. Schwartz in his Habilitationschrift and the other developed by A. Sankaranand K. Varadarajan which we shall call real closed *. We stick to the definition of real closed rings as defined and characterized N. Schwartz and we try to determine and characterize real closed rings that are real closed *. The main result is that real closed rings have unique real closure * and that real closure of real closed * rings arent necessarily real closed *.
[ { "version": "v1", "created": "Sun, 15 Jul 2007 08:46:13 GMT" }, { "version": "v2", "created": "Wed, 12 Sep 2007 14:13:12 GMT" } ]
2016-09-08T00:00:00
[ [ "Capco", "Jose", "" ] ]
0707.2190
Lourdes Benito
Lourdes Benito
Solutions of the problem of Erd\"os-Sierpi\'nski: $\sigma(n)=\sigma(n+1)$
null
null
null
null
math.NT
null
For $n\leq 1.5 \cdot 10^{10}$, we have found a total number of 1268 solutions to the Erd\"os-Sierpi\'nski problem finding positive integer solutions of $\sigma(n)=\sigma(n+1)$, where $\sigma(n)$ is the sum of the positive divisors of n. On the basis of that set of solutions the following empirical properties are enunciated: first, all the $\sigma(n)$, $n$ being a solution, are divisible by 6; second, the repetition of solutions leads to the formulation of a new problem: \emph{Find the natural numbers $n$ such that $\sigma(n)=\sigma(n+1)=\sigma(n+k)=\sigma(n+k+1)$ for some positive integer $k$}. A third empirical property concerns the asymptotic behavior of the function of $n$ that gives the number of solutions for $m$ less or equal to $n$, which we find to be as $n^{1/3}$. Finally some theorems related to the Erd\"os-Sierpi\'nski problem are enunciated and proved.
[ { "version": "v1", "created": "Sun, 15 Jul 2007 08:49:52 GMT" } ]
2007-07-17T00:00:00
[ [ "Benito", "Lourdes", "" ] ]
0707.2191
Renaud Lambiotte
R. Lambiotte, M. Ausloos and M. Thelwall
Word statistics in Blogs and RSS feeds: Towards empirical universal evidence
16 pages, 6 figures
J. Informetrics 1 (2007) 277-286
null
null
cs.IT math.IT
null
We focus on the statistics of word occurrences and of the waiting times between such occurrences in Blogs. Due to the heterogeneity of words' frequencies, the empirical analysis is performed by studying classes of "frequently-equivalent" words, i.e. by grouping words depending on their frequencies. Two limiting cases are considered: the dilute limit, i.e. for those words that are used less than once a day, and the dense limit for frequent words. In both cases, extreme events occur more frequently than expected from the Poisson hypothesis. These deviations from Poisson statistics reveal non-trivial time correlations between events that are associated with bursts of activities. The distribution of waiting times is shown to behave like a stretched exponential and to have the same shape for different sets of words sharing a common frequency, thereby revealing universal features.
[ { "version": "v1", "created": "Sun, 15 Jul 2007 08:51:43 GMT" } ]
2012-09-25T00:00:00
[ [ "Lambiotte", "R.", "" ], [ "Ausloos", "M.", "" ], [ "Thelwall", "M.", "" ] ]
0707.2192
S Brendle
S. Brendle
A generalization of Hamilton's differential Harnack inequality for the Ricci flow
revised version, to appear in J. Diff. Geom
null
null
null
math.DG math.AP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In [10], R. Hamilton established a differential Harnack inequality for solutions to the Ricci flow with nonnegative curvature operator. We show that this inequality holds under the weaker condition that M x R^2 has nonnegative isotropic curvature.
[ { "version": "v1", "created": "Mon, 16 Jul 2007 14:40:11 GMT" }, { "version": "v2", "created": "Thu, 25 Sep 2008 09:16:29 GMT" } ]
2008-09-25T00:00:00
[ [ "Brendle", "S.", "" ] ]
0707.2193
Denis Rastegaev Mr.
E.V. Malogolovets (1), Yu. Yu. Balega (1), D.A. Rastegaev (1), K.-H. Hofmann (2), G. Weigelt (2) ((1) Special Astrophysical Observatory, Russia, (2) Max-Planck-Institut fur Radioastronomie, Germany)
GJ 900: A new hierarchical system with low-mass components
7 pages, 5 figures
null
10.1134/S1990341307020034
null
astro-ph
null
Speckle interferometric observations made with the 6 m telescope of the Special Astrophysical Observatory of the Russian Academy of Sciences in 2000 revealed the triple nature of the nearby ($\pi_{Hip}=51.80\pm1.74$ mas) low-mass young ($\approx200$ Myr) star GJ 900. The configuration of the triple system allowed it to be dynamically unstable. Differential photometry performed from 2000 through 2004 yielded $I$- and $K$-band absolute magnitudes and spectral types for the components to be $I_{A}$=6.66$\pm$0.08, $I_{B}$=9.15$\pm$0.11, $I_{C}$=10.08$\pm$0.26, $K_{A}$=4.84$\pm$0.08, $K_{B}$=6.76$\pm$0.20, $K_{C}$=7.39$\pm$0.31, $Sp_{A}$$\approx$K5--K7, $Sp_{B}$$\approx$M3--M4, $Sp_{C}$$\approx$M5--M6. The ``mass--luminosity'' relation is used to estimate the individual masses of the components: $\mathcal{M}_{A}$$\approx0.64\mathcal{M}_{\odot}$, $\mathcal{M}_{B}$$\approx0.21\mathcal{M}_{\odot}$, $\mathcal{M}_{C}$$\approx0.13\mathcal{M}_{\odot}$. From the observations of the components relative motion in the period 2000--2006, we conclude that GJ 900 is a hierarchical triple star with the possible orbital periods P$_{A-BC}$$\approx$80 yrs and P$_{BC}$$\approx$20 yrs. An analysis of the 2MASS images of the region around GJ 900 leads us to suggest that the system can include other very-low-mass components.
[ { "version": "v1", "created": "Sun, 15 Jul 2007 09:09:02 GMT" } ]
2009-11-13T00:00:00
[ [ "Malogolovets", "E. V.", "" ], [ "Balega", "Yu. Yu.", "" ], [ "Rastegaev", "D. A.", "" ], [ "Hofmann", "K. -H.", "" ], [ "Weigelt", "G.", "" ] ]
0707.2194
Didier Sornette
D. Sornette (ETH Zurich)
Probability Distributions in Complex Systems
27 pages, Review article for the Encyclopedia of Complexity and System Science (Springer Science)
null
null
null
physics.data-an physics.gen-ph
null
We review briefly the concepts underlying complex systems and probability distributions. The later are often taken as the first quantitative characteristics of complex systems, allowing one to detect the possible occurrence of regularities providing a step toward defining a classification of the different levels of organization (the ``universality classes''). A rapid survey covers the Gaussian law, the power law and the stretched exponential distributions. The fascination for power laws is then explained, starting from the statistical physics approach to critical phenomena, out-of-equilibrium phase transitions, self-organized criticality, and ending with a large but not exhaustive list of mechanisms leading to power law distributions. A check-list for testing and qualifying a power law distribution from your data is described in 7 steps. This essay enlarges the description of distributions by proposing that ``kings'', i.e., events even beyond the extrapolation of the power law tail, may reveal an information which is complementary and perhaps sometimes even more important than the power law distribution. We conclude a list of future directions.
[ { "version": "v1", "created": "Sun, 15 Jul 2007 09:25:19 GMT" } ]
2007-07-17T00:00:00
[ [ "Sornette", "D.", "", "ETH Zurich" ] ]
0707.2195
Usha Devi A. R.
A. R. Usha Devi and A. K. Rajagopal
Generalized information theoretic measure to discern the quantumness of correlations
5 pages, no figures, Revtex, Minor changes; Accepted for publication in Physical Review Letters
Phys. Rev. Lett. 100, 140502 (2008)
10.1103/PhysRevLett.100.140502
null
quant-ph
null
A novel measure, quantumness of correlations is introduced here for bipartite states, by incorporating the required measurement scheme crucial in defining any such quantity. Quantumness coincides with the previously proposed measures in special cases and it vanishes for separable states - a feature not captured by the measures proposed earlier. It is found that an optimal generalized measurement on one of the parts leaves the overall state in its closest separable form, which shares the same marginal for the other part, implying that quantumness is non-zero for all entangled bipartite states and it serves as an upper bound to the relative entropy of entanglement.
[ { "version": "v1", "created": "Sun, 15 Jul 2007 11:17:22 GMT" }, { "version": "v2", "created": "Tue, 2 Oct 2007 13:54:57 GMT" }, { "version": "v3", "created": "Wed, 28 Nov 2007 17:01:38 GMT" }, { "version": "v4", "created": "Fri, 29 Feb 2008 15:03:52 GMT" } ]
2008-04-20T00:00:00
[ [ "Devi", "A. R. Usha", "" ], [ "Rajagopal", "A. K.", "" ] ]
0707.2196
Hrvoje Buljan
H. Buljan, K. Lelas, R. Pezer, and M. Jablan
The single-particle density matrix and the momentum distribution of dark "solitons" in a Tonks-Girardeau gas
9 pages, 8 figures
Phys. Rev. A 76, 043609 (2007)
10.1103/PhysRevA.76.043609
null
cond-mat.other
null
We study the reduced single-particle density matrix (RSPDM), the momentum distribution, natural orbitals and their occupancies, of dark "soliton" (DS) states in a Tonks-Girardeau gas. DS states are specially tailored excited many-body eigenstates, which have a dark solitonic notch in their single-particle density. The momentum distribution of DS states has a characteristic shape with two sharp spikes. We find that the two spikes arise due to the high degree of correlation observed within the RSPDM between the mirror points ($x$ and $-x$) with respect to the dark notch at $x=0$; the correlations oscillate rather than decay as the points $x$ and $-x$ are being separated.
[ { "version": "v1", "created": "Sun, 15 Jul 2007 10:34:30 GMT" } ]
2009-11-13T00:00:00
[ [ "Buljan", "H.", "" ], [ "Lelas", "K.", "" ], [ "Pezer", "R.", "" ], [ "Jablan", "M.", "" ] ]
0707.2197
Edouard B. Sonin
E.B. Sonin
Mechanical measurement of equilibrium spin currents in the Rashba medium
4 pages, 1 figure
Phys. Rev. Lett. 99, 266602 (2007)
10.1103/PhysRevLett.99.266602
null
cond-mat.mes-hall
null
We demonstrate that an equilibrium spin current in a 2D electron gas with Rashba spin-orbit interaction (Rashba medium) results in a mechanical torque on a substrate near an edge of the medium. If the substrate is a cantilever, the mechanical torque displaces the free end of the cantilever. The effect can be enhanced and tuned by a magnetic field. Observation of this displacement would be an effective method to prove existence of equilibrium spin currents. The analysis of edges of the Rashba medium demonstrates the existence of localized edge states. They form a 1D continuum of states. This suggests a new type of quantum wire: spin-orbit quantum wire.
[ { "version": "v1", "created": "Sun, 15 Jul 2007 10:32:24 GMT" } ]
2009-11-13T00:00:00
[ [ "Sonin", "E. B.", "" ] ]
0707.2198
Estelle Moraux
E. Moraux, W. Lawson, C. Clarke
eta Chameleontis: abnormal initial mass function or dynamical evolution?
10 pages, 5 figures, accepted by A&A
null
10.1051/0004-6361:20066847
null
astro-ph
null
Eta Chamaeleontis is a unique young (~9 Myr) association with 18 systems concentrated in a radius of ~35 arcmin, i.e. 1pc at the cluster distance of 97pc. No other members have been found up to 1.5 degrees from the cluster centre. The cluster mass function is consistent with the IMF of other rich young open clusters in the higher mass range but shows a clear deficit of low mass stars and brown dwarfs with no objects below 0.1Msun. The aim of this paper is to test whether this peculiar mass function could result from dynamical evolution despite the young age of the cluster. We performed N-body numerical calculations starting with a log-normal IMF and different initial conditions in terms of number of systems and cluster radius using the code NBODY3. We simulated the cluster dynamical evolution over 10 Myr and compared the results to the observations. We found that it is possible to reproduce eta Cha when starting with a very compact configuration (with Ninit=40 and R0=0.005pc) which suggests that the IMF of the association might not be abnormal. The high initial density might also explain the deficit of wide binaries that is observed in the cluster.
[ { "version": "v1", "created": "Sun, 15 Jul 2007 10:35:46 GMT" } ]
2009-11-13T00:00:00
[ [ "Moraux", "E.", "" ], [ "Lawson", "W.", "" ], [ "Clarke", "C.", "" ] ]
0707.2199
Sadegh Movahed
M. Sadegh Movahed and Ahmad Sheykhi
Observational constraints on the braneworld model with brane-bulk energy exchange
17 pages and 18 figures, V2: Added comments, references, explained some topics related to the matter power spectrum as a robust constraint, accepted for publication in Mon. Not. R. Astron. Soc
Mon. Not. R. Astron. Soc. 388, 197- 210 (2008)
10.1111/j.1365-2966.2008.13330.x
null
astro-ph
null
We investigate the viability of the braneworld model with energy exchange between the brane and bulk, by using the most recent observational data related to the background evolution. We show that this energy exchange behaves like a source of dark energy and can alter the profile of the cosmic expansion. The new Supernova Type Ia (SNIa) Gold sample, Supernova Legacy Survey (SNLS) data, the position of the acoustic peak at the last scattering surface from the Wilkinson Microwave Anisotropy Probe (WMAP) observations and the baryon acoustic oscillation peak found in the Sloan Digital Sky Survey (SDSS) are used to constrain the free parameters of this model. To infer its consistency with the age of the Universe, we compare the age of old cosmological objects with what computed using the best fit values for the model parameters. At 68% level of confidence, the combination of Gold sample SNIa, Cosmic Microwave Background (CMB) shift parameter and SDSS databases provide $\Omega_m=0.29_{-0.02}^{+0.03}$, $\Omega_{A}=-0.71_{-0.03}^{+0.03}$ and $\mu=-0.40_{-0.26}^{+0.28}$, hence a spatially flat Universe with $\Omega_K=0.00_{-0.04}^{+0.04}$. The same combination with SNLS supernova observation give $\Omega_m=0.27_{-0.02}^{+0.02}$, $\Omega_{A}=-0.74_{-0.02}^{+0.04}$ and $\mu=0.00_{-0.30}^{+0.30}$ consequently provides a spatially flat Universe $\Omega_K=-0.01_{-0.03}^{+0.04}$. These results obviously seem to be compatible with the most recent WMAP results indicating a flat Universe.
[ { "version": "v1", "created": "Sun, 15 Jul 2007 10:46:57 GMT" }, { "version": "v2", "created": "Fri, 30 May 2008 16:09:44 GMT" } ]
2008-07-24T00:00:00
[ [ "Movahed", "M. Sadegh", "" ], [ "Sheykhi", "Ahmad", "" ] ]
0707.2200
Lester Fox Machado
J.H. Pena, L. Fox Machado, R. Garrido
uvby--beta photoelectric photometry of NGC 7063
9 pages, 5 figures, accepted for publication in RevMexAA
null
null
null
astro-ph
null
From uvby photometry of 75 stars in the direction of NGC 7063 we were able to determine membership of some stars and fix the distance (722 +- 105 pc), log age (of 8.146) and reddening (E(b-y) = 0.091 +- 0.039 mag) for the cluster.
[ { "version": "v1", "created": "Sun, 15 Jul 2007 10:51:18 GMT" } ]
2007-07-17T00:00:00
[ [ "Pena", "J. H.", "" ], [ "Machado", "L. Fox", "" ], [ "Garrido", "R.", "" ] ]
0707.2201
Irina Bobkova V
I. V. Bobkova, A. M. Bobkov
Influence of spin filtering and spin mixing on the subgap structure of I-V characteristics in superconducting quantum point contact
9 pages, 3 figures
PRB 76, 094517 (2007)
10.1103/PhysRevB.76.094517
null
cond-mat.supr-con cond-mat.mes-hall
null
The effect of spin filtering and spin mixing on the dc electric current for voltage biased magnetic quantum point contact with superconducting leads is theoretically studied. The I-V characteristics are calculated for the whole range of spin filtering and spin mixing parameters. It is found that with increasing of spin filtering the subharmonic step structure of the dc electric current, typical for low-transparency junction and junction without considerable spin filtering qualitatively changes. In the lower voltage region and for small enough spin mixing the peak structure arises. When spin mixing increases the peak subgap structure evolves to the step structure. The voltages where subharmonic gap features are located are found to be sensitive to the value of spin filtering. The positions of peaks and steps are calculated analytically and the evolution of the subgap structure from well-known tunnel limit to the large spin filtering case is explained in terms of multiple Andreev reflection (MAR) processes. In particular, it is found that for large spin filtering the subgap feature at $eV_k$ arises from $2k^{\rm th}$ and $(2k\pm 1)^{\rm th}$ order MAR processes, while in the tunnel limit the step at $eV_n$ is known to result from $n^{\rm th}$ order MAR process.
[ { "version": "v1", "created": "Sun, 15 Jul 2007 10:59:06 GMT" } ]
2009-11-13T00:00:00
[ [ "Bobkova", "I. V.", "" ], [ "Bobkov", "A. M.", "" ] ]
0707.2202
Andrey Kormilitzin
Andrey Kormilitzin
Saturation model in the non-Glauber approach
27 pages, 18 figures and one table, typos were corrected
null
null
null
hep-ph
null
In this paper a new saturation model is presented. This model is based on the theoretical solution for the generating functional, and it is quite different and not more complicated than the Glauber-like approach used before. The model describes the structure function F_{2} of the proton, as well as the diffractive structure function F_{2}^{D}. We show the difference between our model, and the eikonal approach by calculating the multiplicity distribution, using the AGK cutting rules strategy.
[ { "version": "v1", "created": "Sun, 15 Jul 2007 13:03:32 GMT" }, { "version": "v2", "created": "Wed, 18 Jul 2007 14:38:44 GMT" }, { "version": "v3", "created": "Sun, 22 Jul 2007 15:04:50 GMT" }, { "version": "v4", "created": "Tue, 31 Jul 2007 09:46:24 GMT" } ]
2007-07-31T00:00:00
[ [ "Kormilitzin", "Andrey", "" ] ]
0707.2203
Sergei Chekanov V.
S.V. Chekanov and B.B. Levchenko
On influence of experimental resolution on the statistical significance of a signal: implication for pentaquark searches
12 pages, 3 eps figures, 2 tables
Phys.Rev.D76:074025,2007
10.1103/PhysRevD.76.074025
ANL-HEP-PR-07-47
hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
An analytical relationship between the statistical significance of an observed signal and the signal width in case of a large background was obtained. It can help to explain why high-energy experiments may have different conclusions on the existence of new particles. We illustrate our approach using the experimental data on searches for the Theta+(1530) pentaquark state. The obtained relationship is also useful for planning of future experiments designed to search for signals of new particles in invariant-mass distributions.
[ { "version": "v1", "created": "Sun, 15 Jul 2007 11:15:30 GMT" }, { "version": "v2", "created": "Mon, 22 Jun 2009 18:32:38 GMT" } ]
2009-06-22T00:00:00
[ [ "Chekanov", "S. V.", "" ], [ "Levchenko", "B. B.", "" ] ]
0707.2204
Levent Akant
Levent Akant
Deformation Quantization of Odd Dimensional anti-de Sitter Spaces as Contact Manifolds
10 pages
null
null
null
hep-th
null
We quantize odd dimensional anti-de Sitter spaces by applying the method of deforming contact manifolds proposed by Rajeev. The construction in the present paper consists of the identification of the odd dimensional anti-de Sitter space as a hypersurface of contact type and the subsequent use of 'symplectization' principle. We also show that this construction generalizes to any odd dimensional hypersurface which can be represented as a nonzero level set of a homogenous function.
[ { "version": "v1", "created": "Sun, 15 Jul 2007 11:41:09 GMT" } ]
2007-07-17T00:00:00
[ [ "Akant", "Levent", "" ] ]
0707.2205
Xiaoping Yang
Xiaoping Yang, Jiangwei Chen, Hui Jiang, Jinming Dong
Chiral Symmetry of Double-Walled Carbon Nanotubes detected in First-principles Optical Absorption Spectra
10 pages, 5 figures
Physical Review B 69, 193401 (2004)
10.1103/PhysRevB.69.193401
null
cond-mat.mtrl-sci cond-mat.other
null
The linear polarizability absorption spectra of the double-walled carbon nanotubes (DWNTs) have been calculated by using the tight-binding (TB) model and sum-over-state (SOS) method, supplemented by the first principles CASTEP calculations. It is found that the chiral symmetries of both outer and inner tubes in the DWNTs can always be identified distinctly by the characteristic peaks in the absorption spectra of the DWNTs, no matter what kind of the outer tube is, offering a powerful experimental tool to measure precisely the chiral angle of the inner tube of a DWNT.
[ { "version": "v1", "created": "Mon, 16 Jul 2007 19:15:40 GMT" }, { "version": "v2", "created": "Tue, 17 Jul 2007 12:45:28 GMT" } ]
2009-11-13T00:00:00
[ [ "Yang", "Xiaoping", "" ], [ "Chen", "Jiangwei", "" ], [ "Jiang", "Hui", "" ], [ "Dong", "Jinming", "" ] ]
0707.2206
Jeremy Shears
Jeremy Shears, David Boyd, Tom Krajci, Robert Koff, John R. Thorstensen and Gary Poyner
Photometry and astrometry of SS Leo Minoris during the 2006 October superoutburst
15 pages, 9 figures. Accepted for publication in the Journal of the British Astronomical Association
null
null
null
astro-ph
null
We report unfiltered CCD observations of the first confirmed superoutburst of the SU UMa-type dwarf nova SS LMi in October 2006. From a quiescent magnitude of around 21.7 it rose to 16.2, an outburst amplitude of about 5.5 magnitudes. It declined at 0.17 mag/d for 5 days before slowing to 0.11 mag/d for a further 3 days. The light curve revealed common superhumps with a peak-to-peak amplitude of 0.3 magnitude, which decayed and then re-grew concurrently with the change in decline rate. These were followed by a phase-changing transition to late superhumps. Analysis of these observations has revealed evidence for an orbital period of 0.05572(19) d and a common superhump period of 0.05664(2) d, giving a fractional superhump period excess of 0.017(5). From astrometry of SS LMi in outburst we have established for the first time its correct position as RA 10h 34m 05.85(1)s, Dec +31deg 08m 00.00(18)s (J2000). The position commonly given for SS LMi is that of a nearby star.
[ { "version": "v1", "created": "Sun, 15 Jul 2007 13:38:28 GMT" } ]
2007-07-17T00:00:00
[ [ "Shears", "Jeremy", "" ], [ "Boyd", "David", "" ], [ "Krajci", "Tom", "" ], [ "Koff", "Robert", "" ], [ "Thorstensen", "John R.", "" ], [ "Poyner", "Gary", "" ] ]
0707.2207
Chang-Guang Shi
Minoru Hirayama, Chang-Guang Shi
Reduction of static field equation of Faddeev model
8 pages
Phys.Lett.B652:384-387,2007
10.1016/j.physletb.2007.07.025
null
hep-th
null
A method to solve the static field equation of the Faddeev model is presented. For an special combination of the concerned field, we adopt a form which is compatible with the field equation and involves two arbitrary complex functions. As a result, the static field equation is reduced to a set of first order partial differential equations.
[ { "version": "v1", "created": "Sun, 15 Jul 2007 14:04:27 GMT" } ]
2008-11-26T00:00:00
[ [ "Hirayama", "Minoru", "" ], [ "Shi", "Chang-Guang", "" ] ]
0707.2208
Maxim V. Polyakov
N. Kivel, M.V. Polyakov
Breakdown of chiral expansion for parton distributions
10 pages, 7 figures
Phys.Lett.B664:64-69,2008
10.1016/j.physletb.2008.04.048
null
hep-ph hep-lat nucl-ex
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In the framework of the chiral perturbation theory we computed two- and three-loop corrections to the pion parton distributions which posses $\delta$-function singularities at x->0. This calculation explicitly demonstrates that in the region of small x ~ mpi^2/(4 pi F)^2 standard ChPT breaks down and one needs resummation of all orders. We give an example of such resummation.
[ { "version": "v1", "created": "Sun, 15 Jul 2007 14:22:29 GMT" }, { "version": "v2", "created": "Thu, 5 Jun 2008 08:02:42 GMT" } ]
2008-11-26T00:00:00
[ [ "Kivel", "N.", "" ], [ "Polyakov", "M. V.", "" ] ]
0707.2209
Alexander Zuyev L.
Alexander L. Zuyev
Stabilization of the spatial oscillations of an elastic system model
Bulletin of University of Kyiv (Series: Physics & Mathematics), 2007, No. 3, P. 74-79
null
null
null
math.OC math.DS
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
A system of partial differential equations describing the spatial oscillations of an Euler-Bernoulli beam with a tip mass is considered. The linear system considered is actuated by two independent controls and separated into a pair of differential equations in a Hilbert space. A feedback control ensuring strong stability of the equilibrium in the sense of Lyapunov is proposed. The proof of the main result is based on the theory of strongly continuous semigroups.
[ { "version": "v1", "created": "Sun, 15 Jul 2007 14:27:02 GMT" }, { "version": "v2", "created": "Fri, 9 Feb 2018 21:53:58 GMT" } ]
2018-02-13T00:00:00
[ [ "Zuyev", "Alexander L.", "" ] ]
0707.2210
Alexander K. Motovilov
Elena A. Kolganova, Alexander K. Motovilov, Werner Sandhas
Ultracold scattering processes in three-atomic helium systems
null
Nucl. Phys. A 790 (2007), 752c-756c
10.1016/j.nuclphysa.2007.03.120
null
physics.atm-clus physics.chem-ph
null
We review results on scattering observables for $^4$He--$^4$He$_2$ and $^3$He--$^4$He$_2$ collisions. We also study the effect of varying the coupling constant of the atom-atom interaction on the scattering length.
[ { "version": "v1", "created": "Sun, 15 Jul 2007 15:04:04 GMT" } ]
2007-07-17T00:00:00
[ [ "Kolganova", "Elena A.", "" ], [ "Motovilov", "Alexander K.", "" ], [ "Sandhas", "Werner", "" ] ]
0707.2211
Menachem Tsindlekht
M.I. Tsindlekht, V.M. Genkin, G.I. Leviev, I. Felner, O. Yuli, I. Asulin, O. Millo, M.A. Belogolovskii and N.Yu. Shitsevalov
Linear and nonlinear low frequency electrodynamics of the surface superconducting states in an yttrium hexaboride a single crystal
21 figures, 12 pages
null
10.1103/PhysRevB.78.024522
null
cond-mat.supr-con
null
We report the low-frequency and tunneling studies of yttrium hexaboride single crystal. Ac susceptibility at frequencies 10 - 1500 Hz has been measured in parallel to the crystal surface DC felds, H0. We found that in the DC feld H0 > Hc2 DC magnetic moment completely disappears while the ac response exhibited the presence of superconductivity at the surface. Increasing of the DC field from Hc2 revealed the enlarging of losses with a maximum in the feld between Hc2 and Hc3. Losses at the maximum were considerably larger than in the mixed and in the normal states. The value of the DC field, where loss peak was observed, depends on the amplitude and frequency of the ac feld. Close to Tc this peak shifts below Hc2 which showed the coexistence of surface superconducting states and Abrikosov vortices. We observed a logarithmic frequency dependence of the in-phase component of the susceptibility. Such frequency dispersion of the inphase component resembles the response of spin-glass systems, but the out-of-phase component also exhibited frequency dispersion that is not a known feature of the classic spin-glass response. Analysis of the experimental data with Kramers-Kronig relations showed the possible existence of the loss peak at very low frequencies (< 5 Hz). We found that the amplitude of the third harmonic was not a cubic function of the ac amplitude even at considerably weak ac felds. This does not leave any room for treating the nonlinear effects on the basis of perturbation theory. We show that the conception of surface vortices or surface critical currents could not adequately describe the existing experimental data. Consideration of a model of slow relaxing nonequilibrium order parameter permits one to explain the partial shielding and losses of weak ac field for H0 > Hc2.
[ { "version": "v1", "created": "Sun, 15 Jul 2007 14:53:44 GMT" } ]
2009-11-13T00:00:00
[ [ "Tsindlekht", "M. I.", "" ], [ "Genkin", "V. M.", "" ], [ "Leviev", "G. I.", "" ], [ "Felner", "I.", "" ], [ "Yuli", "O.", "" ], [ "Asulin", "I.", "" ], [ "Millo", "O.", "" ], [ "Belogolovskii", "M. A.", "" ], [ "Shitsevalov", "N. Yu.", "" ] ]
0707.2212
Dmitry Krimer
Dmitry O. Krimer and Etienne Brasselet
Light-driven liquid crystalline nonlinear oscillator under optical periodic forcing
5 pages, 6 figures, submitted to Phys. Rev. E
Phys. Rev. E 76, 021705 (2007)
10.1103/PhysRevE.76.021705
null
cond-mat.soft cond-mat.other
null
An all-optically driven strategy to govern a liquid crystalline collective molecular nonlinear oscillator is discussed. It does not require external feedbacks of any kind while the oscillator and a time-depending perturbation both are sustained by incident light. Various dynamical regimes such as frequency -locked, quasiperiodic, forced and chaotic are observed in agreement with a theoretical approach developed in the limit of the plane wave approximation.
[ { "version": "v1", "created": "Sun, 15 Jul 2007 15:13:03 GMT" } ]
2010-01-29T00:00:00
[ [ "Krimer", "Dmitry O.", "" ], [ "Brasselet", "Etienne", "" ] ]
0707.2213
Armando Villares Ferrer
A. Villares Ferrer, C. Morais Smith
Dynamical localization of a particle coupled to a two-level systems thermal reservoir
null
null
null
null
cond-mat.mes-hall cond-mat.stat-mech
null
Using the functional-integral method, we investigate the effect of a two-level systems thermal reservoir on the single particle dynamics. We find that at low temperatures, within the sub-ohmic regime, the particle becomes {}``dynamically'' localized at long times due to an effective potential generated by the particle-reservoir interaction. This behavior is different from the one obtained for the usual bath of harmonic oscillators and is fundamentally related with the non-Markovian character of the dissipative process.
[ { "version": "v1", "created": "Sun, 15 Jul 2007 15:13:36 GMT" } ]
2007-07-17T00:00:00
[ [ "Ferrer", "A. Villares", "" ], [ "Smith", "C. Morais", "" ] ]
0707.2214
Petros Souvatzis Dr
P. Souvatzis, O. Eriksson, M. I. Katsnelson
Anomalous thermal expansion in $\alpha$-titanium
article, 4 pages, 3 figures
Phys. Rev. Lett. 99, 015901 (2007)
10.1103/PhysRevLett.99.015901
null
cond-mat.mtrl-sci
null
We provide a complete quantitative explanation for the anisotropic thermal expansion of hcp Ti at low temperature. The observed negative thermal expansion along the c-axis is reproduced theoretically by means of a parameter free theory which involves both the electron and phonon contributions to the free energy. The thermal expansion of titanium is calculated and found to be negative along the c-axis for temperatures below $\sim$ 170 K, in good agreement with observations. We have identified a saddle-point Van Hove singularity near the Fermi level as the main reason for the anisotropic thermal expansion in $\alpha-$titanium.
[ { "version": "v1", "created": "Sun, 15 Jul 2007 15:24:26 GMT" } ]
2007-07-17T00:00:00
[ [ "Souvatzis", "P.", "" ], [ "Eriksson", "O.", "" ], [ "Katsnelson", "M. I.", "" ] ]
0707.2215
Pedro Sancho
Pedro Sancho
Detection of massive multi-particle beams by two-particle ionization
Accepted in PLA
null
10.1016/j.physleta.2007.05.004
null
quant-ph
null
Multi-photon absorption is a well-known phenomenon. With atom lasers a similar process could take place for massive particles, the ionization of an atom or molecule by the successive interaction with various particles. This process would lead to multi-particle detection events for incident multi-particle beams. We show that two-particle detections would introduce a correction (proportional to the fourth power of the wavefunction modulus) to the usual one-particle detection probability (only proportional to the second power).
[ { "version": "v1", "created": "Sun, 15 Jul 2007 15:27:42 GMT" } ]
2009-11-13T00:00:00
[ [ "Sancho", "Pedro", "" ] ]
0707.2216
Angelo Nucciotti
A. Nucciotti
Double beta decay: experiments and theory review
Talk presented at Flavor Physics & CP Violation Conference, Bled, 2007; 7 pages
ECONFC070512:025,2007
null
fpcp07_412
nucl-ex
null
Neutrinoless double beta decay is one of the most powerful tools to set the neutrino mass absolute scale and establish whether the neutrino is a Majorana particle. After a summary of the neutrinoless double beta decay phenomenology, the present status of the experimental search for this rare decay is reported and the prospects for next generation experiments are reviewed.
[ { "version": "v1", "created": "Sun, 15 Jul 2007 15:37:22 GMT" }, { "version": "v2", "created": "Tue, 17 Jul 2007 08:23:09 GMT" }, { "version": "v3", "created": "Sat, 28 Jul 2007 17:04:42 GMT" } ]
2008-11-26T00:00:00
[ [ "Nucciotti", "A.", "" ] ]
0707.2217
Christof Puhle
Christof Puhle
The Killing spinor equation with higher order potentials
28 pages; revised, more concise
J.Geom.Phys.58:1355-1375,2008
10.1016/j.geomphys.2008.05.010
null
math.DG math-ph math.MP
null
Let (M^n,g) be a Riemannian spin manifold. The basic equations in supergravity models of type IIa string theory with 4-form flux involve a 3-form T, a 4-form F, a spinorial covariant derivative \nabla depending on \nabla^g, T, F, and a \nabla-parallel spinor field \Psi. We classify and construct many explicit families of solutions to this system of spinorial field equations by means of non-integrable special geometries. The latter include \alpha-Sasakian structures in dimensions 5 and 7, almost Hermitian structures in dimension 6 and cocalibrated G_2-structures in dimension 7. We show that there are several examples also satisfying an additional constraint for the energy-momentum tensor.
[ { "version": "v1", "created": "Sun, 15 Jul 2007 16:27:19 GMT" }, { "version": "v2", "created": "Mon, 14 Jan 2008 14:02:41 GMT" } ]
2008-11-26T00:00:00
[ [ "Puhle", "Christof", "" ] ]
0707.2218
Laurent Hilico
Franck Bielsa (LKB - Jussieu, DPM), Khelifa Djerroud (LPL), Andrei Goncharov (LPL), Albane Douillet (LKB - Jussieu, DPM), Tristan Valenzuela (LKB - Jussieu, DPM), Christophe Daussy (LPL), Laurent Hilico (LKB - Jussieu, DPM), Anne Amy-Klein (LPL)
HCOOH high resolution spectroscopy in the 9.18$\mu$m region
null
null
10.1016/j.jms.2007.10.003
null
physics.atom-ph
null
We report on higly accurate absolute frequency measurement against a femtosecond frequency comb of 6 saturated absorption lines of formic acid (HCOOH) with an accuracy of 1 kHz. We also report the frequency measurement of 17 other lines with an accuracy of 2 kHz. Those lines are in quasi coincidence with the 9R(36) to 9R(42) CO$_2$ laser emission lines and are probed either by a CO$_2$ or a widely tunable quantum cascade laser phase locked to a master CO$_2$ laser. The relative stability of two HCOOH stabilized lasers is characterized by a relative Allan deviation of 4.5 10$^{-12}$ $\tau^{-1/2}$. They give suitable frequency references for H$_2^+$ Doppler free two-photon spectroscopy.
[ { "version": "v1", "created": "Sun, 15 Jul 2007 16:46:17 GMT" } ]
2009-11-13T00:00:00
[ [ "Bielsa", "Franck", "", "LKB - Jussieu, DPM" ], [ "Djerroud", "Khelifa", "", "LPL" ], [ "Goncharov", "Andrei", "", "LPL" ], [ "Douillet", "Albane", "", "LKB - Jussieu, DPM" ], [ "Valenzuela", "Tristan", "", "LKB - Jussieu, DPM" ], [ "Daussy", "Christophe", "", "LPL" ], [ "Hilico", "Laurent", "", "LKB - Jussieu,\n DPM" ], [ "Amy-Klein", "Anne", "", "LPL" ] ]
0707.2219
Masaomi Tanaka
Ken'ichi Nomoto, Masaomi Tanaka, Nozomu Tominaga, Keiichi Maeda, and Paolo A. Mazzali
Hypernovae and their Gamma-Ray Bursts Connection
23 pages, 12 figures. To appear in New Astronomy Reviews, Proceedings of the Conference ``A LIFE WITH STARS''
null
null
null
astro-ph
null
The connection between long Gamma Ray Bursts (GRBs) and Supernovae (SNe), have been established through the well observed cases of GRB980425/SN 1998bw, GRB030329/SN 2003dh and GRB031203/SN 2003lw. These events can be explained as the prompt collapse to a black hole (BH) of the core of a massive star (M ~ 40 Msun) that had lost its outer hydrogen and helium envelopes. All these SNe exhibited strong oxygen lines, and their energies were much larger than those of typical SNe, thus these SNe are called Hypernovae (HNe). The case of SN 2006aj/GRB060218 appears different: the GRB was weak and soft (an X-Ray Flash, XRF); the SN is dimmer and has very weak oxygen lines. The explosion energy of SN 2006aj was smaller, as was the ejected mass. In our model, the progenitor star had a smaller mass than other GRB/SNe (M ~ 20 Msun), suggesting that a neutron star (NS) rather than a black hole was formed. If the nascent neutron star was strongly magnetized (a so-called magnetar) and rapidly spinning, it may launch a weak GRB or an XRF. The final fate of 20-30 Msun stars show interesting variety, as seen in the very peculiar Type Ib/c SN 2005bf. This mass range corresponds to the NS to BH transition. We also compare the nucleosynthesis feature of HNe with the metal-poor stars and suggest the Hypernova-First Star connection.
[ { "version": "v1", "created": "Sun, 15 Jul 2007 16:49:34 GMT" } ]
2007-07-17T00:00:00
[ [ "Nomoto", "Ken'ichi", "" ], [ "Tanaka", "Masaomi", "" ], [ "Tominaga", "Nozomu", "" ], [ "Maeda", "Keiichi", "" ], [ "Mazzali", "Paolo A.", "" ] ]
0707.2220
Alin Ciuperca
Alin Ciuperca and George A. Elliott
A remark on invariants for C*-algebras of stable rank one
null
null
null
null
math.OA
null
It is shown that, for a C*-algebra of stable rank one (i.e., in which the invertible elements are dense), two well-known isomorphism invariants, the Cuntz semigroup and the Thomsen semigroup, contain the same information. More precisely, these two invariants, viewed appropiately, determine each other in a natural way.
[ { "version": "v1", "created": "Sun, 15 Jul 2007 16:50:29 GMT" }, { "version": "v2", "created": "Fri, 21 Sep 2007 22:57:58 GMT" } ]
2011-11-10T00:00:00
[ [ "Ciuperca", "Alin", "" ], [ "Elliott", "George A.", "" ] ]
0707.2221
Eugen Varvaruca
Eugen Varvaruca
On some properties of travelling water waves with vorticity
null
SIAM J. Math. Anal., 39 (2008), 1686-1692
null
null
math.AP
null
We prove that for a large class of vorticity functions the crest of a corresponding travelling water wave is necessarily a point of maximal horizontal velocity. We also show that for waves with nonpositive vorticity the pressure in the flow is everywhere larger than the atmospheric pressure. A related a priori estimate for waves with nonnegative vorticity is also given.
[ { "version": "v1", "created": "Sun, 15 Jul 2007 16:51:27 GMT" } ]
2008-03-26T00:00:00
[ [ "Varvaruca", "Eugen", "" ] ]
0707.2222
Jacques Soffer
Claude Bourrely, Jacques Soffer and Tai Tsun Wu
Impact picture for the analyzing power $A_N$ in very forward $pp$ elastic scattering
6 pages, 6 figures, to appear Physical Review D
Phys.Rev.D76:053002,2007
10.1103/PhysRevD.76.053002
null
hep-ph
null
In the framework of the impact picture we compute the analyzing power $A_N$ for $pp$ elastic scattering at high energy and in the very forward direction. We consider the full set of Coulomb amplitudes and show that the interference between the hadronic non-flip amplitude and the single-flip Coulomb amplitude is sufficient to obtain a good agreement with the present experimental data. This leads us to conclude that the single-flip hadronic amplitude is small in this low momentum transfer region and it strongly suggests that this process can be used as an absolute polarimeter at the BNL-RHIC $pp$ collider.
[ { "version": "v1", "created": "Sun, 15 Jul 2007 16:53:18 GMT" } ]
2008-11-26T00:00:00
[ [ "Bourrely", "Claude", "" ], [ "Soffer", "Jacques", "" ], [ "Wu", "Tai Tsun", "" ] ]
0707.2223
Philippe Grangier
Philippe Grangier
"Disproof of Bell's Theorem" : more critics
2 pages, no figure - in v2 some remarks and one simple example are added - in v3 a more explicit conclusion is added
null
null
null
quant-ph
null
In a series of recent papers (quant-ph/0703179, quant-ph/0703244, arXiv:0707.1333) Joy Christian claims to have "disproved Bell's theorem". Though his work is certainly intellectually stimulating, we argue below that his main claim is unwarranted.
[ { "version": "v1", "created": "Sun, 15 Jul 2007 17:18:50 GMT" }, { "version": "v2", "created": "Sat, 28 Jul 2007 09:02:56 GMT" }, { "version": "v3", "created": "Fri, 17 Aug 2007 12:25:38 GMT" } ]
2011-11-10T00:00:00
[ [ "Grangier", "Philippe", "" ] ]
0707.2224
Eugen Varvaruca
Eugen Varvaruca
On the existence of extreme waves and the Stokes conjecture with vorticity
36 pages, main results are improved, additional material is added
J. Differential Equations, 246 (2009), 4043-4076.
null
null
math.AP
null
This is a study of singular solutions of the problem of traveling gravity water waves on flows with vorticity. We show that, for a certain class of vorticity functions, a sequence of regular waves converges to an extreme wave with stagnation points at its crests. We also show that, for any vorticity function, the profile of an extreme wave must have either a corner of $120^\circ$ or a horizontal tangent at any stagnation point about which it is supposed symmetric. Moreover, the profile necessarily has a corner of $120^\circ$ if the vorticity is nonnegative near the free surface.
[ { "version": "v1", "created": "Sun, 15 Jul 2007 18:18:20 GMT" }, { "version": "v2", "created": "Thu, 4 Oct 2007 13:33:54 GMT" }, { "version": "v3", "created": "Mon, 31 Mar 2008 12:11:22 GMT" } ]
2009-10-04T00:00:00
[ [ "Varvaruca", "Eugen", "" ] ]
0707.2225
Willy Kley
Paul Cresswell (1), Gerben Dirksen (2), Willy Kley (2), Richard P. Nelson (1) ((1) Queen May University of London, (2) University of Tuebingen)
On the evolution of eccentric and inclined protoplanets embedded in protoplanetary disks
accepted for Astronomy & Astrophysics, 16 pages, 16 figures, animations under: http://www.tat.physik.uni-tuebingen.de/~kley/publ/paper/eccp.html
null
10.1051/0004-6361:20077666
null
astro-ph
null
Young planets embedded in their protoplanetary disk interact gravitationally with it leading to energy and angular momentum exchange. This interaction determines the evolution of the planet through changes to the orbital parameters. We investigate changes in the orbital elements of a 20 Earth--mass planet due to the torques from the disk. We focus on the non-linear evolution of initially non-vanishing eccentricity $e$ and/or inclination $i$. We treat the disk as a two- or three-dimensional viscous fluid and perform hydrodynamical simulations with an embedded planet. We find rapid exponential decay of the planet orbital eccentricity and inclination for small initial values of $e$ and $i$, in agreement with linear theory. For larger values of $e > 0.1$ the decay time increases and the decay rate scales as $\dot{e} \propto e^{-2}$, consistent with existing theoretical models. For large inclinations ($i$ > 6 deg) the inclination decay rate shows an identical scaling $di/dt \propto i^{-2}$. We find an interesting dependence of the migration on the eccentricity. In a disk with aspect ratio $H/r=0.05$ the migration rate is enhanced for small non-zero eccentricities ($e < 0.1$), while for larger values we see a significant reduction by a factor of $\sim 4$. We find no indication for a reversal of the migration for large $e$, although the torque experienced by the planet becomes positive when $e \simeq 0.3$. This inward migration is caused by the persisting energy loss of the planet. For non gap forming planets, eccentricity and inclination damping occurs on a time scale that is very much shorter than the migration time scale. The results of non linear hydrodynamic simulations are in very good agreement with linear theory for small $e$ and $i$.
[ { "version": "v1", "created": "Sun, 15 Jul 2007 17:13:46 GMT" } ]
2009-11-13T00:00:00
[ [ "Cresswell", "Paul", "", "Queen May University of London" ], [ "Dirksen", "Gerben", "", "University of Tuebingen" ], [ "Kley", "Willy", "", "University of Tuebingen" ], [ "Nelson", "Richard P.", "", "Queen May University of London" ] ]
0707.2226
Hicham El Bouanani
Hicham El-Bouanani (CPT), Michel Rouleux (CPT)
Thermodynamical Equilibrium of Vortices in the Isotropic Bidimensional Kac Rotator
48pages
null
null
null
math-ph math.MP
null
We consider here the problem of extrema for the Kac functional with long range, ferromagnetic interaction, and vorticity conditions at infinity which make it not weakly closed. Using a gradient-flow dynamics, we investigate local minima, showing strong analogies with the Ginzburg-Landau functional in infinite volume.
[ { "version": "v1", "created": "Sun, 15 Jul 2007 17:48:36 GMT" }, { "version": "v2", "created": "Tue, 17 Jul 2007 14:52:24 GMT" }, { "version": "v3", "created": "Wed, 22 Aug 2007 09:06:59 GMT" } ]
2007-08-22T00:00:00
[ [ "El-Bouanani", "Hicham", "", "CPT" ], [ "Rouleux", "Michel", "", "CPT" ] ]
0707.2227
Damien Chablat
Philippe Wenger (IRCCyN), Damien Chablat (IRCCyN), Mazen Zein (IRCCyN)
Degeneracy study of the forward kinematics of planar 3-RPR parallel manipulators
null
Journal of Mechanical Design 129, 12 (12/2007) 1-6
null
null
cs.RO
null
This paper investigates two situations in which the forward kinematics of planar 3-RPR parallel manipulators degenerates. These situations have not been addressed before. The first degeneracy arises when the three input joint variables r1, r2 and r3 satisfy a certain relationship. This degeneracy yields a double root of the characteristic polynomial in t, which could be erroneously interpreted as two coalesce assembly modes. But, unlike what arises in non-degenerate cases, this double root yields two sets of solutions for the position coordinates (x, y) of the platform. In the second situation, we show that the forward kinematics degenerates over the whole joint space if the base and platform triangles are congruent and the platform triangle is rotated by 180 deg about one of its sides. For these "degenerate" manipulators, which are defined here for the first time, the forward kinematics is reduced to the solution of a 3rd-degree polynomial and a quadratics in sequence. Such manipulators constitute, in turn, a new family of analytic planar manipulators that would be more suitable for industrial applications.
[ { "version": "v1", "created": "Sun, 15 Jul 2007 17:57:21 GMT" } ]
2007-07-17T00:00:00
[ [ "Wenger", "Philippe", "", "IRCCyN" ], [ "Chablat", "Damien", "", "IRCCyN" ], [ "Zein", "Mazen", "", "IRCCyN" ] ]
0707.2228
Damien Chablat
Maher Baili (IRCCyN), Philippe Wenger (IRCCyN), Damien Chablat (IRCCyN)
Kinematic Analysis of a Family of 3R Manipulators
null
Problems of Mechanics 15, 2 (07/2004) 27-32
null
null
cs.RO
null
The workspace topologies of a family of 3-revolute (3R) positioning manipulators are enumerated. The workspace is characterized in a half-cross section by the singular curves. The workspace topology is defined by the number of cusps that appear on these singular curves. The design parameters space is shown to be divided into five domains where all manipulators have the same number of cusps. Each separating surface is given as an explicit expression in the DH-parameters. As an application of this work, we provide a necessary and sufficient condition for a 3R orthogonal manipulator to be cuspidal, i.e. to change posture without meeting a singularity. This condition is set as an explicit expression in the DH parameters.
[ { "version": "v1", "created": "Sun, 15 Jul 2007 18:00:53 GMT" } ]
2007-07-17T00:00:00
[ [ "Baili", "Maher", "", "IRCCyN" ], [ "Wenger", "Philippe", "", "IRCCyN" ], [ "Chablat", "Damien", "", "IRCCyN" ] ]
0707.2229
Damien Chablat
Damien Chablat (IRCCyN), Jorge Angeles (CIM)
The Computation of All 4R Serial Spherical Wrists With an Isotropic Architecture
null
Journal of Mechanical Design 125, 2 (06/2003) 275-280
null
null
cs.RO
null
A spherical wrist of the serial type with n revolute (R) joints is said to be isotropic if it can attain a posture whereby the singular values of its Jacobian matrix are all equal to sqrt(n/3). What isotropy brings about is robustness to manufacturing, assembly, and measurement errors, thereby guaranteeing a maximum orientation accuracy. In this paper we investigate the existence of redundant isotropic architectures, which should add to the dexterity of the wrist under design by virtue of its extra degree of freedom. The problem formulation, for, leads to a system of eight quadratic equations with eight unknowns. The Bezout number of this system is thus 2^8=256, its BKK bound being 192. However, the actual number of solutions is shown to be 32. We list all solutions of the foregoing algebraic problem. All these solutions are real, but distinct solutions do not necessarily lead to distinct manipulators. Upon discarding those algebraic solutions that yield no new wrists, we end up with exactly eight distinct architectures, the eight corresponding manipulators being displayed at their isotropic postures.
[ { "version": "v1", "created": "Sun, 15 Jul 2007 18:04:09 GMT" } ]
2007-07-17T00:00:00
[ [ "Chablat", "Damien", "", "IRCCyN" ], [ "Angeles", "Jorge", "", "CIM" ] ]