
jaali ghanata karyatmak siddhant

jaali ghanata karyatmak siddhant (ell. dii. eff. tii.) haah eka sankhyikeey siddhant aahe joou bhautikshastra aanee ushmagatikimadhye sadhya jaali samikaranansah vividh bhautik ghatananche pratirupan karnyasathi vaparla jaato.
varnan.
jaali vayoo, dvisangi drav dravan, kram-vikar tappyatil sankraman, pheromagnetism aanee antiferromagnetism yasah vividh prakarchya pranali aanee ghatananche model tayar karnyasathi jawalchya-shejari parasparsanvad asalelya jaali modelcha mothya pramanat vapar keela gela aahe. yadruchchik sanrachanansathi parasparsambandhachya karyanchi bahutek ganana sankhyikeey yantrik tantranvar aadharit asate, jyamule samikarane tayar hotat jee sahasa sankhyatmakaritya sodavane aavashyak asate.
1925 madhye, icingne eka-aayami (1 dii) jaali samasyevar achook upay deela. 1944 madhye onseggerla gambhir ghanatevar dvimiteey (2 dii) jaali samasyevar achook upay midavata aala. tathapi, aajparyant konatyahi trimiteey (3dii) samasyevar sampoorn aanee achook assa konatahi upay nahee. gelya daha varshant, aranovic aanee donohue yanni teen-aayamanmadhye ono-kondo samikarananchya samanyikaranavar aadharit jaali ghanata karyatmak siddhant (ell. dii. eff. tii.) vikasit keela aahe aanee vividh bhautik ghatananche model tayar karnyasathi yaa siddhantacha vapar keela aahe.
mukt urjesathi eka abhivyakti tayar karoon siddhant suru hoto, a = u-ts, jithe antargat urja u aanee entropy s chee ganana sarasari kshetra andaj vaparoon kelee jaau shakate. tyanantar grand potential ω = a-φ mhanoon tayar kele jaate, jethe μ haah eka lagrange gunak aahe joou rasayanik potentialchya barobaricha aahe aanee φ haah jaaline dilela adthala aahe.
tyanantar sthanik ghanatechya sandarbhat bhavya kshamata qamee karane shakya aahe, jyacha parinam sthanik rasayanik kshamatesathi sarasari-kshetra abhivyaktimadhye hoto. dusya (bahudha mothya pramanat) tappyasathi rasayanik kshamata nirdisht karoon haah siddhant purn keela jaato. samtol prakriyet, maay = maay.
jaali ghanata karyatmak siddhantala, ganiteey sadhepana aanee jatil seema paristhiti samavisht karnyachya sulbhatesah, vikshobh siddhant aanee sankhyikeey sanlagn drav siddhant yasarkhya adhik klisht mukt khand tantranpeksha anek fayade aahet. jaree haah drushtikon pranalichya ushmagatikiy vartanabaddal keval gunatmak mahitee denyasathi olakhala jaat asala, taree too tappyache sankraman, ektrikaran, sanrachaneche vitaran, prushthbhag-shoshan, swayam-sanyojan, sfatikikaran, tasech sthir sthitee prasar yasarkhya vividh jatil ghatananchya yantranebaddal mahattvapoorn antardrushti pradan karato.