English

Moderate Deviations for the SSEP with a Slow Bond

Probability 2021-03-17 v1

Abstract

We consider the one dimensional symmetric simple exclusion process with a slow bond. In this model, particles cross each bond at rate N2N^2, except one particular bond, the slow bond, where the rate is NN. Above, NN 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.

Keywords

Cite

@article{arxiv.2005.14393,
  title  = {Moderate Deviations for the SSEP with a Slow Bond},
  author = {Xiaofeng Xue and Linjie Zhao},
  journal= {arXiv preprint arXiv:2005.14393},
  year   = {2021}
}

Comments

24 pages

R2 v1 2026-06-23T15:54:09.147Z