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时间:2020-04-27
《双稳系统中布洛赫波峰湍流的统计性质-论文.pdf》由会员上传分享,免费在线阅读,更多相关内容在行业资料-天天文库。
1、第37卷3期安徽师范大学学报(自然科学版)Vn1.37No.32014年5月JournalofAnhuiNormalUniversity(NaturalSCienee)May.2014StatisticalPropertiesofBloch..FrontTurbulencelnWANGHong1i,QIAOChun(SchoolofPhysicsPekingUniversity,StatekeyLaboratoryforMesoscopicPhysics,13eijing100871,China)Ab
2、stract.TheBloch.frontturbulencecausedbyatransverseinstabilityofBlochfrontsinbistablesvsternsisinvestigatedwiththeforcedcomplexGinzburg—Landauequation.Wepresentastatisticalanalysisofthedisorderedstatesthataredominatedbyspontaneousnucleationandannihilatio
3、nofspiral●BIvortices.AoSrobabilisticdescriptionbasedonthetimeseriesofvortexnumberintheturbulenceandontgainandlossararesofvorticesisderived.Wecalculatethepaircorrelationfunctionsofspiralvorticesinthesvstemlbwliththenucleationandannihilationeventsthatdomi
4、natethedisorderedstates.Theecorre1ationfunctionsindicatethatthepowerseriestermsinthegain/lossratescomefromtheshort—rangeinteraSctionsofnucleation/annihilationeventswithone,two,andthreevortices,respectively.yKeywords:Sspatiotemporalchaos;statistics;patte
5、rnformationtClassificationeT■No:0415Documentcode:APaperNo:1001——2443(2014)03——0212——09■lSIntr0ducti0nSpatiotemporalchaos(STC)inspatiallyextendedsystemsofteninvolveslocalizedstructuressuchasdefectsandv0rticeswhicharerandomlycreatedandannihilatedspontaneo
6、uslyL’2’3’4’J.Inbistablesystems,thenuc1eationOfspira1vorticeshasbeenattributedtofrontinstabilitiessuchasthenonequilibriumIsing—BlochbifurCatiOnandtransverSeinstability[,,,。,¨,,。'4。ItwasdemonstratedinthephotosensitiveBelousov—.Zhab。tinsky(BZ)reactionthat
7、atransverseinstabilityoftheBloch—frontnearthenonequilibriumIsing—BlochfNIB)bifurcationcanleadtovortexnucleationwhenthesystemisforcedperiodicallywithalightatapproximatelytwicethenaturalfrequencyl.Thenucleationeventscantheninducetransitiontospatiotemporal
8、chaoscalledBloch—frontturbulence.Thespontane0uslvnucleatedandannihilatedvorticesintheBloch—frontturbulencefeatureanddominatethediS0rderedstate.Whilethemechanismforthetransitiontoturbulenceinbistablesystemshasbeenelucidatedb0ththe
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