Hydrodynamic limit for a zero-range process in the Sierpinski gasket
Abstract
Description
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.
24 pages, 1 figure
24 pages, 1 figure