References & Citations
Mathematics > Probability
Title: Exponential equivalence for misanthrope processes in contact with weak reservoirs and applications to totally asymmetric exclusion processes
(Submitted on 25 Oct 2023 (this version), latest version 27 Mar 2024 (v2))
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 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. Furthermore, applications to a class of asymmetric exclusion processes with long jumps is discussed.
Submission history
From: Julian Kern [view email][v1] Wed, 25 Oct 2023 22:30:36 GMT (15kb)
[v2] Wed, 27 Mar 2024 10:48:32 GMT (15kb)
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