Effects of cross-correlated noises on the relaxation time of the bistable system

(整期优先)网络出版时间:2003-11-21
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Thestationarycorrelationfunctionandtheassociatedrelaxationtimeforageneralsystemdrivenbycrosscorrelatedwhitenoisesarederived,byvirtueofaStratonovich-likeansatz.Theeffectsofcorrelatednoisesontherelaxationtimeofabistablekineticmodelcoupledtoanadditiveandamultiplicativewhitenoisesarestudied.ItisprovedthatforsmallfluctuationstherelaxationtimeTcasafunctionofλ(thecorrelatedintensitybetweennoises)exhibitsverydifferentbehavioursforαD(αandD,respectively,standfortheintensitiesofadditiveandmultiplicativenoises).Whenα>D,Tcincreaseswithincreasingλ.Butwhenα