Repository: Freie Universit├Ąt Berlin, Math Department

Exponential equivalence for misanthrope processes in contact with weak reservoirs and applications to totally asymmetric exclusion processes

Kern, Julian (2023) Exponential equivalence for misanthrope processes in contact with weak reservoirs and applications to totally asymmetric exclusion processes. Preprint . (Unpublished)

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Official URL: http://dx.doi.org/10.20347/WIAS.PREPRINT.3051

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.

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:17 Jan 2024 09:09

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