From non-symmetric particle systems to non-linear PDEs on fractals
Mathematical Physics
2018-07-25 v2 Statistical Mechanics
Analysis of PDEs
math.MP
Probability
Abstract
We present new results and challenges in obtaining hydrodynamic limits for non-symmetric (weakly asymmetric) particle systems (exclusion processes on pre-fractal graphs) converging to a non-linear heat equation. We discuss a joint density-current law of large numbers and a corresponding large deviations principle.
Keywords
Cite
@article{arxiv.1702.03376,
title = {From non-symmetric particle systems to non-linear PDEs on fractals},
author = {Joe P. Chen and Michael Hinz and Alexander Teplyaev},
journal= {arXiv preprint arXiv:1702.03376},
year = {2018}
}
Comments
v2: 10 pages, 1 figure. To appear in the proceedings for the 2016 conference "Stochastic Partial Differential Equations & Related Fields" in honor of Michael R\"ockner's 60th birthday, Bielefeld