双稳系统中布洛赫波峰湍流的统计性质-论文.pdf

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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