Hydrodynamic limit for a zero-range process in the Sierpinski gasket

Details Hydrodynamic limit for a zero-range process in the Sierpinski gasket Hydrodynamic limit for a zero-range process in the Sierpinski gasket

2008-05-03

arxiv.org/abs/0805.0380v1

Communications in Mathematical Physics, Volume 288, Number 2 / juin 2009, 773-797

Physics

Mathematical Physics

24 pages, 1 figure

Scientific paper

10.1007/s00220-009-0746-z

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.

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