Current large deviations in a driven dissipative model

TL;DR

This paper analyzes large deviations in a driven dissipative lattice gas model, revealing mechanisms for current fluctuations, phase transitions, and fluctuation relations, with implications for understanding granular gases and non-equilibrium systems.

Contribution

It computes the large deviation functional for particle currents in a boundary-driven dissipative lattice gas, providing new insights into fluctuation mechanisms and phase transitions.

Findings

Identification of the mechanism for local current fluctuations

Discovery of dynamical phase transitions

Discussion of the fluctuation-relation in the model

Abstract

We consider lattice gas diffusive dynamics with creation-annihilation in the bulk and maintained out of equilibrium by two reservoirs at the boundaries. This stochastic particle system can be viewed as a toy model for granular gases where the energy is injected at the boundary and dissipated in the bulk. The large deviation functional for the particle currents flowing through the system is computed and some physical consequences are discussed: the mechanism for local current fluctuations, dynamical phase transitions, the fluctuation-relation.