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(Unpublished)

Full text not available from this repository.

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 |
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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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