Limite de escala para um sistema de partículas com várias leis de conservação

Abstract

This Ph.D. thesis consists of two parts. In the first part, we discuss the hydrodynamic limit of the weakly asymmetric exclusion process with collision among particles having different velocities and in contact with stochastic reservoirs. We will have a parameter θ and a system of partial differential equations with boundary conditions that change depending on this parameter θ. We aim to analyze the impact of the reservoirs (change the value of θ) on the macroscopic behavior of the system. The hydrodynamic limit of this model in the case θ = 0 was proved in [3]. In the second part of this work, we obtain the equilibrium fluctuation for the same model with periodic boundary conditions.