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- W2953223857 abstract "We consider i.i.d. random variables {omega (b):b in E_d} parameterized by the family of bonds in Z^d, d>1. The random variable omega(b) is thought of as the conductance of bond b and it ranges in a finite interval [0,c_0]. Assuming the probability m of the event {omega(b)>0} to be supercritical and denoting by C(omega) the unique infinite cluster associated to the bonds with positive conductance, we study the zero range process on C(omega) with omega(b)-proportional probability rate of jumps along bond b. For almost all realizations of the environment we prove that the hydrodynamic behavior of the zero range process is governed by the nonlinear heat equation $partial_t rho= m nabla cdot (D nablaphi(rho/m))$, where the matrix D and the function phi are omega--independent. We do not require any ellipticity condition." @default.
- W2953223857 created "2019-06-27" @default.
- W2953223857 creator A5028548357 @default.
- W2953223857 date "2008-10-01" @default.
- W2953223857 modified "2023-09-26" @default.
- W2953223857 title "Hydrodynamic limit of zero range processes among random conductances on the supercritical percolation cluster" @default.
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- W2953223857 doi "https://doi.org/10.48550/arxiv.0810.0103" @default.
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