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arXiv · 1304.0701

Symmetric simple exclusion process with free boundaries

Anna De Masi·Pablo A. Ferrari·Errico Presutti
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Abstract

We consider the one dimensional symmetric simple exclusion process (SSEP) with additional births and deaths restricted to a subset of configurations where there is a leftmost hole and a rightmost particle. At a fixed rate birth of particles occur at the position of the leftmost hole and at the same rate, independently, the rightmost particle dies. We prove convergence to a hydrodynamic limit and discuss its relation with a free boundary problem.

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Anna De Masi, Pablo A. Ferrari, Errico Presutti. 2013-04-02. Symmetric simple exclusion process with free boundaries. https://arxiv.org/abs/1304.0701

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