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January 1999 Relaxation to Equilibrium of Conservative Dynamics. I: Zero-Range Processes
E. Janvresse, C. Landim, J. Quastel, H. T. Yau
Ann. Probab. 27(1): 325-360 (January 1999). DOI: 10.1214/aop/1022677265


Under mild assumptions we prove that for any local function $u$ the decay rate to equilibrium in the variance sense of zero range dynamics on $d$-dimensional integer lattice is $C_u t^{-d/2}+ o(t^{-d/2})$. The constant $C_u$ is computed explicitly.


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E. Janvresse. C. Landim. J. Quastel. H. T. Yau. "Relaxation to Equilibrium of Conservative Dynamics. I: Zero-Range Processes." Ann. Probab. 27 (1) 325 - 360, January 1999.


Published: January 1999
First available in Project Euclid: 29 May 2002

zbMATH: 0951.60095
MathSciNet: MR1681098
Digital Object Identifier: 10.1214/aop/1022677265

Primary: 60K35
Secondary: 82A05

Keywords: Interacting particle system , relaxation to equilibrium , spectral gap

Rights: Copyright © 1999 Institute of Mathematical Statistics

Vol.27 • No. 1 • January 1999
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