Derivation of viscous Burgers equations from weakly asymmetric exclusion processes
Probability
2020-06-05 v2
Abstract
We consider weakly asymmetric exclusion processes whose initial density profile is a small perturbation of a constant. We show that in the diffusive time-scale, in all dimensions, the density defect evolves as the solution of a viscous Burgers equation.
Keywords
Cite
@article{arxiv.1902.08016,
title = {Derivation of viscous Burgers equations from weakly asymmetric exclusion processes},
author = {M. Jara and C. Landim and K. Tsunoda},
journal= {arXiv preprint arXiv:1902.08016},
year = {2020}
}