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Hydrodynamic behavior of symmetric zero-range processes with random rates

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  • Koukkous, A.

Abstract

We consider a nearest-neighbor symmetric zero-range process, evolving on the d-dimensional periodic lattice, with a random jump rate and investigate its hydrodynamic behavior. We prove that the empirical distribution of particles converges in probability to the weak solution of the non-linear diffusion equation. Our approach follows the method of entropy production introduced by Guo et al. (1988, Comm. Math. Phys. 118, 31-59). We adapt and generalize some results in Benjamini et al. (1996, Stochastic Process. Appl. 61, 181-204).

Suggested Citation

  • Koukkous, A., 1999. "Hydrodynamic behavior of symmetric zero-range processes with random rates," Stochastic Processes and their Applications, Elsevier, vol. 84(2), pages 297-312, December.
    • Handle: RePEc:eee:spapps:v:84:y:1999:i:2:p:297-312
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    References listed on IDEAS

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    1. Benjamini, I. & Ferrari, P. A. & Landim, C., 1996. "Asymmetric conservative processes with random rates," Stochastic Processes and their Applications, Elsevier, vol. 61(2), pages 181-204, February.
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    Cited by:

    1. Andjel, E. D. & Ferrari, P. A. & Guiol, H. & Landim *, C., 2000. "Convergence to the maximal invariant measure for a zero-range process with random rates," Stochastic Processes and their Applications, Elsevier, vol. 90(1), pages 67-81, November.

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