中国物理B ›› 1999, Vol. 8 ›› Issue (11): 808-812.doi: 10.1088/1004-423X/8/11/002

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THE TRANSITION RATE OF A DOUBLE WELL SYSTEM DRIVEN BY CROSS-CORRELATED NOISES

曹力1, 吴大进1, 陈洛恩2, 梅冬成3, 谢光中3   

  1. (1)Department of Physics, Huazhong University of Science and Technology, Wuhan 430074, China; (2)Department of Physics, Yuxi Teachers College, Yuxi 653100, China; (3)Yunnan Observatory, Chinese Academy of Sciences, Kunming 650011, China;The National Astronomical Observatories, The Chinese Academy of Sciences;Yunnan Astrophsics Center, Yunnan University, Kunming 650091, China
  • 收稿日期:1999-03-24 出版日期:1999-11-15 发布日期:2005-06-29
  • 基金资助:
    Project supported by the National Science Foundation of China (Grant No.19863001) and the Applied Basic Research[7] Foundation of Yunnan Province, China.

THE TRANSITION RATE OF A DOUBLE WELL SYSTEM DRIVEN BY CROSS-CORRELATED NOISES

MEI DONG-CHENG (梅冬成)abc, CHEN LUO-EN (陈洛恩)d, XIE GUANG-ZHONG (谢光中)abc, CAO LI (曹力)e, WU DA-JIN (吴大进)e   

  1. a Yunnan Observatory, Chinese Academy of Sciences, Kunming 650011, China; 
    b The National Astronomical Observatories, The Chinese Academy of Sciences; 
    c Yunnan Astrophsics Center, Yunnan University, Kunming 650091, China;
    d Department of Physics, Yuxi Teachers College, Yuxi 653100, China
    e Department of Physics, Huazhong University of Science and Technology, Wuhan 430074, China
  • Received:1999-03-24 Online:1999-11-15 Published:2005-06-29
  • Supported by:
    Project supported by the National Science Foundation of China (Grant No.19863001) and the Applied Basic Research[7] Foundation of Yunnan Province, China.

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摘要： The transition rate of a double well system driven by cross-correlated noises has been investigated, in when the correlation times between the noises are nonzero. From numerical computation, we find followings: (1) The transition rate decreases as the ,λ(λ is the strength of the correlations between noises) increases. (2) The transition rate increases as the τ(τ is the correlation time between noises) increases. It imglies that τ and λ play opposite roles in the transition rate of the system (3). For the case of perfectly correlated noises (λ= 1), there is no the suppressed phenomenon in the double well system with cross-correlated noise sources.

Abstract: The transition rate of a double well system driven by cross-correlated noises has been investigated, in when the correlation times between the noises are nonzero. From numerical computation, we find followings: (1) The transition rate decreases as the $\lambda$ ($\lambda$  is the strength of the correlations between noises) increases. (2) The transition rate increases as the $\tau$ ($\tau$  is the correlation time between noises) increases. It imglies that $\tau$  and $\lambda$ play opposite roles in the transition rate of the system (3). For the case of perfectly correlated noises ($\lambda$= 1), there is no the suppressed phenomenon in the double well system with cross-correlated noise sources.

中图分类号:  (Noise)

  • 05.40.Ca
02.50.Ey (Stochastic processes)