Moderate deviation principles for a reaction diffusion model in non-equilibrium
Abstract
We study moderate deviations from hydrodynamic limits of a reaction diffusion model. The process is defined as the superposition of the symmetric exclusion process with a Glauber dynamics. When the process starts from a product measure with a constant density, which is a non-equilibrium measure for the process, we prove that the re-scaled density fluctuation field satisfies the moderate deviation principle. Our proof relies on the so-called main lemma developed in (Jara and Menezes (2018); Markov Process. Related Fields 26 (2020) 95–124).
Fields of Study & Subjects
Stochastic processes and statistical mechanics
Theoretical and Computational Physics
Geometric Analysis and Curvature Flows
Publication details
- Journal / source
- Bernoulli
- Volume
- 32
- Issue
- 2
- Pages
- 1098–1121
- Publication date
- 29 January 2026
- Language
- EN