Symmetric simple exclusion process with free boundaries

2013/04/02 by Anna De Masi, De Masi, Anna, Pablo A. Ferrari +3 · 2 citations
Mathematics · Physics and Astronomy · #Stochastic processes and statistical mechanics #Markov Chains and Monte Carlo Methods #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.1304.0701

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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