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題名: Drifting Diffusion on a Circle as Continuous Limit of a Multiurn Ehrenfest Model
作者: Luan, Pi-Gang;Kao, Yee-Mou
貢獻者: 物理學系
日期: 2004-02
上傳時間: 2012-09-10T06:38:26Z
出版者: The American Physical Society
摘要: We study the continuous limit of a multibox Erhenfest urn model proposed before by the authors. The evolution of the resulting continuous system is governed by a differential equation, which describes a diffusion process on a circle with a nonzero drifting velocity. The short time behavior of this diffusion process is obtained directly by solving the equation, while the long time behavior is derived using the Poisson summation formula. They reproduce the previous results in the large M (number of boxes) limit. We also discuss the connection between this diffusion equation and the Schr�dinger equation of some quantum mechanical problems.
關聯: Physical Review E, 69(2): 022102
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