Search

Article

x

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

Nonergodicity of Brownian motion in a periodic potential

Lu Hong Qin Li Bao Jing-Dong

Nonergodicity of Brownian motion in a periodic potential

Lu Hong, Qin Li, Bao Jing-Dong
PDF
Get Citation
Metrics
  • Abstract views:  3989
  • PDF Downloads:  1205
  • Cited By: 0
Publishing process
  • Received Date:  30 March 2009
  • Accepted Date:  15 April 2009
  • Published Online:  20 December 2009

Nonergodicity of Brownian motion in a periodic potential

  • 1. 北京师范大学物理系,北京 100875

Abstract: Nonergodicity in Brownian dynamics can be divided into two classes by adding a periodic potential in a force-free ballistic diffusive system. Class-Ⅰ is the system in which the Laplace transform of the damping kernel is equal to zero at low frequency. When the temperature is much higher than the barrier height, the kinetic part of the mean energy depends on the initial distribution of the velocity; with the temperature decreasing, the ergodicity is recovered. Thinking the stable velocity variance of class-Ⅰ as an internal noise to drive a force-free Brownian particle, the Laplace transform of the damping kernel is infinite at zero frequency. It is found that the diffusion coefficient approaches vanishing with the temperature increasing, which exhibits the characteristic of classical locality. The asymptotic mean-square coordinates of the class-Ⅱ depends on its initial coordinates and the ergodicity cannot be ensured through introducing a potential.

Catalog

    /

    返回文章
    返回