The asymmetric simple exclusion process with an open boundary

被引：9
|
作者：
Tracy, Craig A. [1 ]
Widom, Harold [2 ]
机构：
[1] Univ Calif Davis, Dept Math, Davis, CA 95616 USA
[2] Univ Calif Santa Cruz, Dept Math, Santa Cruz, CA 95064 USA
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2013年 / 54卷 / 10期
基金：
美国国家科学基金会;
关键词：
D O I：
10.1063/1.4822418
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We consider the asymmetric simple exclusion process confined to the nonnegative integers with an open boundary at 0. The point 0 is connected to a reservoir where particles are injected and ejected at prescribed rates subject to the exclusion rule. We derive formulas for the transition probability as a function of time from states where initially there are m particles to states where there are n particles. (C) 2013 AIP Publishing LLC.
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页数：16
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