Moderate Deviations for the SSEP with a Slow Bond

Xiaofeng Xue (1) , Linjie Zhao (2)

1 BJTU - Beijing Jiaotong University
2 Paradyse - Systèmes de particules et systèmes dynamiques

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.

Mots clés: exclusion process; slow bond; moderate deviation; exponential martingale

Domaines: Probabilités [math.PR]

Xiaofeng Xue, Linjie Zhao. Moderate Deviations for the SSEP with a Slow Bond. Journal of Statistical Physics, 2021. ⟨hal-03145320⟩