WIAS Preprint No. 3051, (2023)
Exponential equivalence for misanthrope processes in contact with weak reservoirs and applications to totally asymmetric exclusion processes
Authors
- Kern, Julian
ORCID: 0000-0002-8231-0736
2020 Mathematics Subject Classification
- 60K35 60J27
Keywords
- Exponential equivalence, misanthrope process, hydrodynamic limit, large deviations, boundary-driven particle systems
DOI
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.
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