[HG_AP] Equilibrium perturbations for stochastic interacting systems
ABSTRACT
In this talk, we consider equilibrium perturbations for two specific interacting particle systems: the generalized exclusion processes and the one-dimensional chain of anharmonic oscillators. By adding a small perturbation to the equilibrium profile and speeding up the process under proper scaling, we show the perturbed quantities evolve according to the Burgers equation in the exclusion process, and to two decoupled Burgers equations in the anharmonic chain, both in the smooth regime. The proof uses the relative entropy method. The talk is based on joint work with Lu Xu.