Current large deviations for Asymmetric Exclusion Processes with open boundaries
T. Bodineau, B. Derrida
TL;DR
This paper analyzes the large deviation functional of current in the Weakly Asymmetric Simple Exclusion Process with open boundaries, comparing it to the Totally Asymmetric case and proposing generalizations of the Jensen-Varadhan functional.
Contribution
It introduces a comparison of large deviation functionals between weakly and totally asymmetric exclusion processes and proposes conjectures for extending the Jensen-Varadhan functional to open systems.
Findings
Large deviation functional in the weakly asymmetric case is compared to the totally asymmetric case.
Conjectures are proposed for generalizing the Jensen-Varadhan functional to open boundary systems.
The study provides insights into the behavior of current fluctuations in exclusion processes.
Abstract
We study the large deviation functional of the current for the Weakly Asymmetric Simple Exclusion Process in contact with two reservoirs.We compare this functional in the large drift limit to the one of the Totally Asymmetric Simple Exclusion Process, in particular to the Jensen-Varadhan functional. Conjectures for generalizing the Jensen-Varadhan functional to open systems are also stated.
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