Hydrodynamic limit for a zero-range process in the Sierpinski gasket
Mathematical Physics
2009-04-24 v1 math.MP
Probability
Abstract
We prove that the hydrodynamic limit of a zero-range process evolving in graphs approximating the Sierpinski gasket is given by a nonlinear heat equation. We also prove existence and uniqueness of the hydrodynamic equation by considering a finite-difference scheme.
Keywords
Cite
@article{arxiv.0805.0380,
title = {Hydrodynamic limit for a zero-range process in the Sierpinski gasket},
author = {M. Jara},
journal= {arXiv preprint arXiv:0805.0380},
year = {2009}
}
Comments
24 pages, 1 figure