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Stochastic systems with cross-correlated Gaussian white noises

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【Author】 Wang Cheng-Yu a),Gao Yun b),Song Yu-Min a),Zhou Peng a),and Yang Hai a) a) Physics Department,Yunnan Normal University,Kunming 650092,China b) Editorial Department,Journal of Yunnan Normal University,Kunming 650092,China

【机构】 Physics Department,Yunnan Normal University； Editorial Department,Journal of Yunnan Normal University；

【摘要】 This paper theoretically investigates three stochastic systems with cross-correlation Gaussian white noises.Both steady state properties of the stochastic nonlinear systems and the nonequilibrium transitions induced by the cross-correlated noises are studied.The stationary solutions of the Fokker-Planck equation for three specific examples are analysed.It is shown explicitly that the cross-correlation of white noises can induce nonequilibrium transitions.更多还原

【Abstract】 This paper theoretically investigates three stochastic systems with cross-correlation Gaussian white noises.Both steady state properties of the stochastic nonlinear systems and the nonequilibrium transitions induced by the cross-correlated noises are studied.The stationary solutions of the Fokker-Planck equation for three specific examples are analysed.It is shown explicitly that the cross-correlation of white noises can induce nonequilibrium transitions.更多还原

【关键词】 phase transitions； fluctuation phenomenon； stochastic processes；
【Key words】 phase transitions； fluctuation phenomenon； stochastic processes；

【基金】 Project supported by the Fund for Less Developed Regions of the National Natural Science Foundation of China (Grant No. 10864009);the Natural Science Foundation of Yunnan Province,China (Grant No. 2008CD109)

【文献出处】 Chinese Physics B ,中国物理B , 编辑部邮箱 ,2010年11期

【分类号】N93
【下载频次】20

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