1、浙江大學博士后學位論文統(tǒng)計自旋模型的臨界性質(zhì)與早期動力學行為的普適性研究姓名：潘智剛申請學位級別：博士后專業(yè)：理論物理指導教師：陳一新20011201Chapter1IntroductionThestudyofthephasetransitionandcriticalphenomenahaslongbeenanabstractiveandimportanttopicinstatisticalphysicslAswellknownther

2、eappearcriticalscalingandumversahtyduetotheiIliIlitespatialandtimecorrelationsatthesecondorderphasetransitionpoints，andtheuniversalbehaviorofacriticalsystemischaracterizedbyanumberofcriticalexponentssuchthatthemodelsinth

3、esameuniversalityclasshavethesamevaluesofthecriticalexponentsTherefore，thedeterminationofthecriticalexponentsaswellastheSCalinghmctionsforphysicalobservables，eitheranalyticallylornumerically2iSaninterestingchallenge，Howe

4、versuchresearchisdi伍一culttobecarriedoutanalyticallybythereasonthatonlyafewstatisticalmodelscanbeexactlyresolved3Asaresult，numericalsimnlationssupplyapowerflflmethodforestimatingcriticalexponentswhicharemeasuredbygenerati

5、ngeqnllibriumstatesandupdatingtheconfigurationsintheMonteCarlofMClstudiesUnfortunately，thesireulationsnearthecriticalpointintheequilibriumSillierfromcriticalslowingdown4Ithaslongbeenbelievedthatlmiversalbehaviorexistsonl

6、yintheequi—librilwnorinthelongtimeregimeofadynamicalevolutionButthatsit—nationdramaticallychangedinlastdecadecriticalscalingand1_miversalityhavebeendiscoveredforsystemsfarfromequilibrium5to”recentresearchesincriticaldyna

7、micsformanystatisticalmodelshaveshownthatuniversalscalingbehavioralsoemergeswithinthemacroscopicshort—timere衄meofthedynamicprocessaftermicroscopictimeSCaletⅢc5，vThesignificanceoftheshorttimecriticaidynanlicsnotonlydiscov

8、ertheexistenceofUniversaldynamicsealingbehaviorwithintheshorttimeregime，butalSOprefersaveryefficientmethodtodeterminethecriticalexponentsWhichiStotallyfreeofcriticalslowingdownJassen，SchaubandSchmittmann5showeddynamicsca