Local equilibrium for a one dimensional zero range process

P.A. Ferrari, E. Presutti and M.E. Vares

Stochastic Processes and their Applications, 1987, vol. 26, 31-45

Abstract: We consider the one dimensional zero range process with jump intensity g(k) having value 1 for all k [greater-or-equal, slanted] 1. We prove that propagation of chaos and local equilibrium hold in such system. We also show that in the continuum (hydrodynamic) limit the evolution of the density field satisfies a non linear diffusion equation.

Keywords: local; equilibrium; zero; range; process; collective; phenomena; hydrodynamical; behaviour (search for similar items in EconPapers)
Date: 1987
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