5 papers
Nonequilibrium fluctuations for the occupation time of the SSEP in
Tiecheng Xu, Linjie Zhao
We study the symmetric simple exclusion process in two or higher dimensions. We prove the invariance principles for the occupation time when the process starts from nonequilibrium…
Moderate deviations for the facilitated exclusion process in equilibrium
Linjie Zhao
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 measu…
Moderate deviation principles for a reaction diffusion model in non-equilibrium
Linjie Zhao
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 d…
Hydrodynamics for asymmetric simple exclusion on a finite segment with Glauber-type source
Lu Xu, Linjie Zhao
We consider an open interacting particle system on a finite lattice. The particles perform asymmetric simple exclusion and are randomly created or destroyed at all sites, with rate…
Moderate deviation principles for the WASEP
Linjie Zhao
We study the weakly asymmetric simple exclusion process on the integer lattice. Under suitable constraints on the strength of the weak asymmetry of the dynamics, we prove moderate…