Hydrostatics and dynamical large deviations for a reaction-diffusion model

TL;DR

This paper studies a reaction-diffusion model combining exclusion and spin-flip dynamics, establishing hydrostatic properties and large deviation principles for the system.

Contribution

It introduces a new analysis of a combined exclusion and spin-flip reaction-diffusion model, proving hydrostatics and large deviation principles.

Findings

Proved hydrostatic equilibrium for the model.

Established dynamical large deviation principles.

Analyzed the interplay of exclusion and spin-flip dynamics.

Abstract

We consider the superposition of a symmetric simple exclusion dynamics, speeded-up in time, with a spin-flip dynamics in a one-dimensional interval with periodic boundary conditions. We prove the hydrostatics and the dynamical large deviation principle.