Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2402.10375 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Table of Contents:
- We establish the incompressible limit of weakly asymmetric simple exclusion processes coupled through particle collisions. The incompressible limit depends on various parameters in the particle system and is linked to fluid dynamics equations. Our main contributions to previous results are the extension of the parameter space and the focus on local particle jumps. Our proof uses the relative entropy method. The main novelties in the proof are a Boltzmann-Gibbs principle (a replacement lemma) and a spectral gap estimate.