Moderate Deviations for the SSEP with a Slow Bond

Abstract

We consider the one dimensional symmetric simple exclusion process with a slow bond. In this model, particles cross each bond at rate $N^2$, except one particular bond, the slow bond, where the rate is $N$. Above, $N$ is the scaling parameter. This model has been considered in the context of hydrodynamic limits, fluctuations and large deviations. We investigate moderate deviations from hydrodynamics and obtain a moderate deviation principle.

arXiv comment24 pages

References in corpus (5)

• Exclusion process with slow boundary
• Phase transition in equilibrium fluctuations of symmetric slowed exclusion
• Hydrodynamic limit of gradient exclusion processes with conductances
• Asymptotics of Sample Entropy Production Rate for Stochastic Differential Equations
• Hydrodynamic Limit for the SSEP with a Slow Membrane

Cited by in corpus (1)

• Hydrodynamics of the generalized $N$-urn Ehrenfest model