Hydrodynamic limit of the multi-component slow boundary WASEP with collisions (Preprint)

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Type: Preprint
National /International: International
Title: Hydrodynamic limit of the multi-component slow boundary WASEP with collisions
Publication Date: 2023
Authors: - Oslenne Nogueira de Araújo
- Patrícia Gonçalves
- Alexandre B. Simas
Abstract:

In this article, we study the hydrodynamic limit for a stochastic interacting particle system whose dynamics consists in a superposition of several dynamics: the exclusion rule, that dictates that no more than a particle per site with a fixed velocity is allowed; a collision dynamics, that dictates that particles at the same site can collide and originate particles with new velocities such that the linear momentum is conserved; a boundary dynamics that injects and removes particle in the system. This last dynamics destroys the conservation law, and its strength is regulated by a parameter θ. The goal is the derivation of the hydrodynamic limit, and the boundary conditions change drastically according to the value of θ.

Institution: arXiv:2304.03634
Online version: https://arxiv.org/abs/2304.03634
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