中国物理B ›› 2008, Vol. 17 ›› Issue (6): 1990-1997.doi: 10.1088/1674-1056/17/6/010

• GENERAL • 上一篇    下一篇

Noise composed of multiplication of two dichotomous noises

李静辉   

  1. Faculty of Science, Ningbo University, Ningbo 315211, China
  • 收稿日期:2007-10-22 修回日期:2007-11-20 出版日期:2008-06-20 发布日期:2008-06-20
  • 基金资助:
    Project supported by the Ningbo's supplement of the National Natural Science Foundation of China (Grant No 10375009), the Scientific Research Starting Foundation for the Returned Overseas Chinese Scholars Ministry of Education, China, and the K. C. Wang M

Noise composed of multiplication of two dichotomous noises

Li Jing-Hui(李静辉)†   

  1. Faculty of Science, Ningbo University, Ningbo 315211, China
  • Received:2007-10-22 Revised:2007-11-20 Online:2008-06-20 Published:2008-06-20
  • Supported by:
    Project supported by the Ningbo's supplement of the National Natural Science Foundation of China (Grant No 10375009), the Scientific Research Starting Foundation for the Returned Overseas Chinese Scholars Ministry of Education, China, and the K. C. Wang M

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摘要： In this paper, we introduce a noise which is composed of multiplication of two dichotomous noises, and derive the probability density and the statistical properties of this noise. The obtained results can help study the resonant activation phenomenon, the phenomenon of stochastic resonance, the transport of particles, and the nonequilibrium (phase) transition for the systems driven by this noise.

Abstract: In this paper, we introduce a noise which is composed of multiplication of two dichotomous noises, and derive the probability density and the statistical properties of this noise. The obtained results can help study the resonant activation phenomenon, the phenomenon of stochastic resonance, the transport of particles, and the nonequilibrium (phase) transition for the systems driven by this noise.

Key words: Dichotomous noise, probability density, statistical properties

中图分类号:  (Noise)

  • 05.40.Ca
02.50.Cw (Probability theory) 02.50.Ey (Stochastic processes) 05.60.-k (Transport processes) 05.70.Fh (Phase transitions: general studies)