Stationary measures and hydrodynamics of zero range processes with several species of particles |
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Authors: | Großkinsky Stefan Spohn Herbert |
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Institution: | (1) Zentrum Mathematik, Technische Universität München, 85747 Garching bei München, GERMANY |
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Abstract: | We study general zero range processes with different types
of particles on a d-dimensional lattice with periodic
boundary conditions. A necessary and sufficient condition on the
jump rates for the existence of stationary product measures is
established. For translation invariant jump rates we prove the
hydrodynamic limit on the Euler scale using Yaus relative
entropy method. The limit equation is a system of conservation
laws, which is hyperbolic and has a globally convex entropy. We
analyze this system in terms of entropy variables. In addition
we obtain stationary density profiles for open
boundaries. |
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Keywords: | zero range process hydrodynamic limit hyperbolic conservation law entropy |
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