Drifting diffusion on a circle as continuous limit of a multiurn Ehrenfest model.
Phys Rev E Stat Nonlin Soft Matter Phys
; 69(2 Pt 1): 022102, 2004 Feb.
Article
em En
| MEDLINE
| ID: mdl-14995502
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 Schrödinger equation of some quantum mechanical problems.
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01-internacional
Base de dados:
MEDLINE
Idioma:
En
Revista:
Phys Rev E Stat Nonlin Soft Matter Phys
Assunto da revista:
BIOFISICA
/
FISIOLOGIA
Ano de publicação:
2004
Tipo de documento:
Article
País de afiliação:
China