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Fluctuations and Correlations in Weakly Asymmetric Simple Exclusion on a Ring Subject to an Atypical Current by Dagallier, Benoit is a scholarly article available to read on EtoBox.

What is Fluctuations and Correlations in Weakly Asymmetric Simple Exclusion on a Ring Subject to an Atypical Current about?

We consider the weakly asymmetric simple exclusion process on a ring, driven out of equilibrium by tilting the dynamics so as to enforce a macroscopic current of particles on a large time interval. In this current-biased dynamics, the tilt by the current makes the dynamics non-local, non homogeneous and induces long-range correlations. We compute the correlation structure in the large time, large size limit for a certain range of asymmetry and current strength, recovering heuristic results of Bodineau et al. arXiv:0807.2394. In addition, in this range of parameters, we characterise the full dynamics of fluctuations around the optimal density profile in the current-biased dynamics. The key ingredient at the microscopic scale is a precise relative entropy estimate at the level of correlations. We also discuss how to remove the (technical) restriction on the range of parameters.

Author

Dagallier, Benoit

Published

2023

Language

EN