Repository: Freie Universität Berlin, Math Department

Weak reservoirs are superexponentially irrelevant for misanthrope processes

Kern, Julian (2025) Weak reservoirs are superexponentially irrelevant for misanthrope processes. Electronic Communications in Probability .

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Official URL: https://doi.org/10.1214/25-ECP671

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.

Item Type:Article
Subjects:Mathematical and Computer Sciences
Mathematical and Computer Sciences > Mathematics
Mathematical and Computer Sciences > Mathematics > Applied Mathematics
Divisions:Department of Mathematics and Computer Science > Institute of Mathematics
ID Code:3036
Deposited By: Jana Jerosch
Deposited On:17 Jan 2024 09:09
Last Modified:21 Mar 2025 10:23

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