报告题目：Hydrodynamic limits and stationary fluctuations for the facilitated exclusion process

报告时间：2024-01-24  15:30-16:30

报 告 人：赵林杰 (华中科技大学）

报告地点：理学院东北楼四楼报告厅

Abstract：We consider the Facilitated Exclusion Process (FEP) in one dimension, which is an interacting particle system with degenerate rates. In this model, a particle could jump if and only if there is one particle in its neighbors and no particle at the target site. We show that the hydrodynamic equation of the model is given by the Stefan problem. We also study stationary fluctuations for the FEP in the symmetric, weakly asymmetric and asymmetric cases. In particular, we observe a phase transition from the Edwards-Wilkinson universality to the Kardar-Parisi-Zhang universality. Joint work with Marielle Simon and Clément Erignoux.