Weak reservoirs are superexponentially irrelevant for misanthrope processes

Julian Kern

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arXiv · 2310.17038

Weak reservoirs are superexponentially irrelevant for misanthrope processes

Julian Kern

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Abstract

We provide a short proof for the exponential equivalence between misanthrope processes in contact with weak reservoirs and those with impermeable boundaries. As a consequence, we can derive both the hydrodynamic limit and the large deviations of the totally asymmetric simple exclusion process (TASEP) in contact with weak reservoirs. This extends a recent result which proved the hydrodynamic behaviour of a vanishing viscocity approximation of the TASEP in contact with weak reservoirs. Further applications to a class of asymmetric exclusion processes with long jumps are discussed.

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Julian Kern. 2023-10-25. Weak reservoirs are superexponentially irrelevant for misanthrope processes. https://arxiv.org/abs/2310.17038

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