<Reference List> | |
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 |
Download: | Not available |