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NCUEIR > College of Science > Department of Physics > Periodical Articles > Item 987654321/14275

Please use this identifier to cite or link to this item: http://ir.ncue.edu.tw/ir/handle/987654321/14275

Title:	Drifting Diffusion on a Circle as Continuous Limit of a Multiurn Ehrenfest Model
Authors:	Luan, Pi-Gang;Kao, Yee-Mou
Contributors:	物理學系
Date:	2004-02
Issue Date:	2012-09-10T06:38:26Z
Publisher:	The American Physical Society
Abstract:	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.
Relation:	Physical Review E, 69(2): 022102
Appears in Collections:	[Department of Physics] Periodical Articles

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