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Chin. Phys. B, 2010, Vol. 19(11): 116401    DOI: 10.1088/1674-1056/19/11/116401
CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES Prev   Next  

Stochastic systems with cross-correlated Gaussian white noises

Wang Cheng-Yu(王成玉)a), Gao Yun(高云)b), Song Yu-Min(宋玉敏)a), Zhou Peng(周鹏)a), and Yang Hai(杨海)a)†
a Physics Department, Yunnan Normal University, Kunming 650092, China; b Editorial Department, Journal of Yunnan Normal University, Kunming 650092, China
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.
Keywords:  phase transitions      fluctuation phenomenon      stochastic processes  
Received:  27 November 2009      Revised:  24 May 2010      Accepted manuscript online: 
PACS:  02.50.Ey (Stochastic processes)  
  05.40.Ca (Noise)  
Fund: Project supported by the Fund for Less Developed Regions of the National Natural Science Foundation of China (Grant No. 10864009) and the Natural Science Foundation of Yunnan Province, China (Grant No. 2008CD109).

Cite this article: 

Wang Cheng-Yu(王成玉), Gao Yun(高云), Song Yu-Min(宋玉敏), Zhou Peng(周鹏), and Yang Hai(杨海) Stochastic systems with cross-correlated Gaussian white noises 2010 Chin. Phys. B 19 116401

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