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arXiv · 1304.0800

The asymmetric simple exclusion process with an open boundary

Craig A. Tracy·Harold Widom
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Abstract

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.

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Craig A. Tracy, Harold Widom. 2013-04-02. The asymmetric simple exclusion process with an open boundary. https://doi.org/10.1063/1.4822418

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