
chumbakiya helicity

plasma bhautiki mein, chumbakiya helicity ack chumbakiya kshetra key sambandh, modd aur rith kaa ack maap haye. aadarsh chumbak-ushmeeyataa mein, chumbakiya helicity sanrakshit haye. jaba ack chumbakiya kshetra mein chumbakiya helicity hoti haye, tou yeh chhote paimaane seey badey paimaane parr sanrachanaaen banaata haye. iss prakriya koo forier sthaan mein ack vyutkram hastaantaran key roop mein sandarbhit kiya jaa sakata haye.
yeh doosara guna chumbakiya helicity koo vishesh banaata haih tri-ayami ashant pravaah sanrachana koo "nasht" karane kii pravritti rakhate hain, iss arth mein kii badey paimaane parr bhanwar chhote aur chhote mein toot jaate hain (ack prakriya jise "pratyaksh oorjaa cascade" kahaa jaataa haye, jise luis fraay richardson aur andree nikolevic kolmogorov dwara varnit kiya gayaa haye). sabse chhote taraju parr, vertice chipchipe prabhaavon key madhyam seey garmi mein vighatit hotey hain. ack prakaar key "chumbakiya helicity key vyutkram cascade" key madhyam seey, isake vipareet hotaa haih chhoti helical sanrachanaaen (ack gair-shoonya chumbakiya helicity key saath) badey paimaane parr chumbakiya kshetron key gathan kii or leey jaati hain. yeh udaaharan key liye heliospheric current sheet mein dikhaai detaa haye-saur mandal mein ack badee chumbakiya sanrachana.
chumbakiya helicity kaee khagoliya bhautik pranaliyon mein bahut praasangik haye, jahaan pratirodhakta aamtaur parr bahut cumm hoti haye, isaliye chumbakiya helicity koo bahut achche anuman key liye sanrakshit kiya jaataa haye. udaaharan key liyeh saur jwaalaon aur coronal dravyamaan nishkasana mein chumbakiya helicity gatishilata mahatvapurna haye. saur pawan mein chumbakiya helicity maujood haye. iska sanrakshan dynamo prakriyaon mein mahatvapurna haye. yeh sanlayan anusandhaan mein bhee ack bhoomika nibhaata haye, udaaharan key liye vipareet kshetra pinch prayogon mein.
ganitiya paribhasha.
aam taur parr, ack chikane sadish kshetra sootra kaa helicity sootra _ 1 ack aayatan sootra _ 3 taka seemit haye joe usa seema kaa maanak maap haye jiss taka kshetra rekhaaen ack dusare key chaaron or lapetati hain aur kundal karati hain. ise sootra _ 2 key scalar utpaad key sootra _ 3 parr aayatan samakalan aur isake curl, sootra _ 6 key roop mein paribhaashit kiya gayaa haih
chumbakiya helicity.
chumbakiya helicity sootra _ 8 ack chumbakiya sadish sambhaavit sootra _ 9 kii helicity haye jahan sootra _ 10 ack aayatan sootra _ 3 taka seemit sambaddh chumbakiya kshetra haye.
choonki chumbakiya sadish kshamata gaze aparivartaniya naheen haye, isaliye chumbakiya helicity bhee samanya roop seey gaze aparivartaniya naheen haye. isake parinamswarup, ack bhautik pranali kii chumbakiya helicity koo seedhe maapa naheen jaa sakata haye. kuchh sthitiyon mein aur kuchh dhaaranaon key tahat, koee bhee ack pranali kii vartamaan helicity koo maap sakata haye aur isase, jaba aage kii shartein poori hoe jaati hain aur aage kii dhaaranaon key tahat, chumbakiya helicity kaa anuman lagaaya jaataa haye.
chumbakiya helicity mein chumbakiya pravaah varg kii ikaaiyaan hoti hainh wb2 (webber varg) si ikaaiyon mein aur mx2 (maxwell varg) gossian ikaaiyon mein.
vartamaan helicity.
vartamaan helicity, yaa chumbakiya kshetra sootra kaa helicity sootra _ 13, aayatan sootra _ 3 taka seemit haye, jise iss prakaar vyakt kiya jaa sakata haye
jahan sootra _ 17 vartamaan ghanatva haye. chumbakiya helicity key vipareet, vartamaan helicity ack aadarsh aparivartaniya naheen haye (yeh taba bhee sanrakshit naheen haye jaba vidyut pratirodhakta shoonya hoe).
sthalshastriya vyakhya.
helicity" naam iss tathya parr nirbhar kartaa haye kii wegg sootra _ 18 aur verticity sootra _ 19 key saath ack drav kann kaa prakshepavakra una kshetron mein ack helix banaata haye jahaan gatij helicity sootra _ 20 hotaa haye. jaba sootra _ 21 hotaa haye, tou helix daaen haath kaa hotaa haye aur jaba sootra _ 22 hotaa haye tou yeh baaen haath kaa hotaa haye. yeh vyavhaar chumbakiya kshetra rekhaaon key samaan haye.
jinn kshetron mein chumbakiya helicity shoonya naheen haye, unamen helical chumbakiya kshetra rekhaaon key roop mein anya prakaar kii chumbakiya sanrachanaaen bhee hoe sakati hain. chumbakiya helicity vaastav mein chumbakiya kshetra kaa varnan karane key liye aavashyak antar maatraon koo sankhya seey jodane kii sthalvaigyaanik avadharana kaa ack saamaanyikaran haye. jodane vaali sankhya bataati haye kii kitni chumbakiya kshetra rekhaaen aapas mein judee hui hain (isake ganitiya pramaan key liye dekhein). kagaj aur kainchi key saath ack saral prayog key madhyam seey, koee bhee yeh dikhaa sakata haye kii chumbakiya kshetra rekhaaen joe ack dusare key chaaron or ghoomati hain, unhein aapas mein judaa huaa maanaa jaa sakata haye (chitra 5 inch). iss prakaar, chumbakiya helicity kii upasthiti koo pechdar chumbakiya kshetra rekhaaon, paraspar judee chumbakiya sanrachanaon key roop mein vyakhya kii jaa sakati haye, lekin ack dusare key chaaron or mudane vaali chumbakiya kshetra rekhaaon key roop mein bhee vyakhya kii jaa sakati haye.
ack dusare key chaaron or mudane vaali chumbakiya kshetra rekhaaen kaee aakar leey sakati hain. udaaharan key liye, ack nikat pados mein chumbakiya kshetra rekhaaon koo modane key ack sett parr vichaar karein, joe ack tathaakathit "chumbakiya pravaah nully" banaata haye (ack chitran key liye chitra dekhein).
"modd" kaa arth haye kii fluxes tube apane swayam key aksh key chaaron or ghoomati haye (modd = sootra _ 23 key saath aankade). sthalshastriya roop seey, modd aur rith kii ikaaiyon (jiska arth haye, fluxes tube aksh kaa ghoornan-rith = sootra _ 23 key saath aankade) koo ack dusare mein parivartit kiya jaa sakata haye. koee yeh bhee dikhaa sakata haye kii gaanthen bhee modd aur/yaa rith kii ikaaiyon key barabar hain.
vidyut chumbakatva mein kaee maatraon key saath, chumbakiya helicity (joe chumbakiya kshetra rekhaaon kaa varnan karati haye) drav yaantrik helicity (joe drav pravaah rekhaaon kaa varnan karati haye) seey nikatata seey sambandhit haye aur unaki gatishilata aapas mein judee hui haye.
aadarsh dwighaat abhedyata.
1950 key dashak key anta mein, laudevic voltzer aur walter aim. elsesar ney swatantra roop seey chumbakiya helicity key aadarsh abhedyata kii khoj kii, yaani, jaba pratirodhakta shoonya hoti haye tou iska sanrakshan. ack bund pranali key liye maanya voltzer kaa pramaan nimnalikhit mein dohraya jaataa haih
aadarsh chumbak-ushmeeyataa mein, ack chumbakiya kshetra aur chumbakiya sadish kshamata key samay vikas koo preran sameekaran kaa upayog karke vyakt kiya jaa sakata haye
jahaan sootra _ 26 ack scalar kshamata haye joe gaze sthiti dwara dee gaee haye (dekhein). gaze kaa chayan karna taaki scalar kshamata gayab hoe jaae, sootra _ 27, aayatan sootra _ 3 mein chumbakiya helicity kaa samay vikas iss prakaar haih
pahale pada key samakalan mein bindu utpaad shoonya haye kyonki sootra _ 30 cross utpaad sootra _ 31 key liye orthogonal haye, aur dusare pada koo dene key liye bhaagon dwara ekikrit kiya jaa sakata haye.
jahan doosara pada bund pranali key seema satah sootra _ 33 parr ack satah abhinn haye. pahale pada key samakalan mein bindu utpaad shoonya haye kyonki sootra 34 sootra 35 key liye orthogonal haye doosara pada bhee gayab hoe jaataa haye kyonki bund pranali key ander kii gati baahar key sadish kshamata koo prabhaavit naheen curr sakati haye, isaliye seema satah sootra 36 parr chumbakiya sadish kshamata ack nirantar kaary haye. isaliye,
aur chumbakiya helicity aadarsh roop seey sanrakshit haye. sabhi sthitiyon mein jahaan chumbakiya helicity gaze aparivartaniya haye, chumbakiya helicity aadarsh roop seey vishisht gaze vikalp sootra kii aavashyakta key binaa sanrakshit haye.
ack chhoti lekin seemit pratirodhakta key saath bhee chumbakiya helicity ack achche anuman mein sanrakshit rahati haye, jiss mamle mein chumbakiya punarsanyojan oorjaa koo nasht curr detaa haye.
vyutkram hastaantaran sampatti.
chhote paimaane kii pechdar sanrachanaaen badee aur badee chumbakiya sanrachanaaen banaati hain. ise forier sthaan mein ack "vyutkram hastaantaran" kahaa jaa sakata haye, joe tri-ayami ashant hydrodynamical pravaah mein "(pratyaksh)" oorjaa cascade key vipareet haye. iss tarah key vyutkram hastaantaran kii sambhavana koo pahale uriel frish aur sahyogiyon dwara prastaavit kiya gayaa haye aur kaee sankhyaatmak prayogon key madhyam seey satyaapit kiya gayaa haye. isake parinamswarup, chumbakiya helicity kii upasthiti brahmand mein badey paimaane parr chumbakiya sanrachanaon key astitva aur nirantarta kii vyakhya karane kii sambhavana haye.
iss vyutkram hastaantaran key liye ack tark yahaan dohraya gayaa haye, joe chumbakiya helicity forier spectrum sootra 39 parr tathaakathit "yatharthata sthiti" parr adharit haye (jahan sootra 40 chumbakiya kshetra sootra 42 key tarangvaahak sootra 41 parr forier gunank haye, aur isi tarah sootra 43 key liye, jatil sanyugma koo darshaane vaalaa taaraa). yatharthata kii sthiti" kauchi-swarz asamaanta key ack anuprayog seey mell khaati haye, joe upaj detee haih
sootra _ 44
sootra _ 45 key saath chumbakiya oorjaa spectrum. iss asamaanta koo praapt karane key liye, yeh tathya kii sootra _ 46 (sootra _ 47 key saath forier parivartit chumbakiya sadish kshamata kaa solnoidal bhaag, forier sthaan mein tarangvaahak key liye orthogonal) kaa upayog kiya gayaa haye, kyonki sootra _ 48. kaarak 2 kagaj mein maujood naheen haye kyonki chumbakiya helicity koo vaikalpik roop seey sootra _ 49 key roop mein paribhaashit kiya gayaa haye.
taba koee bhee ack praarambhik sthiti kii kalpana curr sakata haye jisamen koee wegg kshetra naheen haye aur ack chumbakiya kshetra kewal dou tarangvaahak sootra _ 50 aur sootra _ 51 parr maujood haye. humm ack poori tarah seey helical chumbakiya kshetra maanate hain, jiska arth haye kii yeh praapti kii sthiti koo santript kartaa haih sootra _ 52 aur sootra _ 53. yeh maanate hue kii sabhi oorjaa aur chumbakiya helicity hastaantaran dusare tarangvaahak sootra _ 54 mein kiye jaate hain, ack haath parr chumbakiya helicity kaa sanrakshan aur doosari or kull oorjaa sootra _ 55 ((m) agnetic aur (k) inetic oorjaa kaa yog) detaa haih
sootra _ 56
sootra _ 57
oorjaa key liye doosari samaantaa iss tathya seey aatee haye kii humm binaa kissy gatij oorjaa key praarambhik avastha parr vichaar karate hain. taba hamaare paas aavashyak roop seey sootra _ 58 haye. vaastav mein, yadi hamaare paas sootra _ 59 hoga, toh
sootra _ 60
joe vaastaviktaa kii sthiti koo toda dega. iska matlab haye kii sootra _ 61. vishesh roop seey, sootra _ 62 key liye, chumbakiya helicity koo ack chhote tarangvaahak mein sthanantarit kiya jaataa haye, jiska arth haye badey taraju mein.
aaklan sambandhi vichaar.
chumbakiya helicity ack gaze-nirbhar matra haye, kyonki sootra _ 63 koo isamen ack dhaal jodkar (gaze chunana) phir seey paribhaashit kiya jaa sakata haye. haalaanki, shuddh chumbakiya pravaah key binaa poori tarah seey sanchaalan seemaon yaa aavadhik pranaliyon key liye, poore kshetra mein nihit chumbakiya helicity gaze aparivartaniya haye, joe kii gaze vikalp seey swatantra haye. ack gaze-invariant "saapeksh helicity" koo unaki seema satahon parr gair-shoonya chumbakiya pravaah key saath matra key liye paribhaashit kiya gayaa haye.