Moderate deviations for the facilitated exclusion process in equilibrium
Abstract
We derive the moderate deviation principles for the fluctuation fields of the facilitated exclusion process (FEP) in one dimension when the process starts from its stationary measure, both in the symmetric and asymmetric cases. The main step is to prove a super-exponential version of the Boltzmann-Gibbs principle, which relies on the logarithmic Sobolev inequality for the FEP.
Fields of Study & Subjects
Stochastic processes and statistical mechanics
Advanced Thermodynamics and Statistical Mechanics
Game Theory and Applications
Publication details
- Journal / source
- Electronic Journal of Probability
- Volume
- 31
- Issue
- none
- Publication date
- 1 January 2026
- Language
- EN