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Janvresse, E.; Landim, C.; Quastel, J.; Yau, H. T.

Relaxation to equilibrium of conservative dynamics. I: Zero-range processes. (English) Zbl 0951.60095

Ann. Probab. 27, No. 1, 325-360 (1999).
The decay rate to equilibrium in the variance sense is derived for symmetric zero range processes in \(\mathbb{Z}^d\) under weak assumptions. For any local function \(u\) it is shown to be of the form \(C_ut^{-d/2}+ o(t^{-d/2})\). An explicit representation of \(C_u\) is given. Basic ingredients of the proof are the spectral gap for the processes on finite boxes and a Nash inequality.
Reviewer: M.Mürmann (Heidelberg)

Cited in 1 Review
Cited in 19 Documents

MSC:

60K35 Interacting random processes; statistical mechanics type models; percolation theory
82B05 Classical equilibrium statistical mechanics (general)

Keywords:

zero-range processes; relaxation to equilibrium; spectral map; Nash inequality
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\textit{E. Janvresse} et al., Ann. Probab. 27, No. 1, 325--360 (1999; Zbl 0951.60095)
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References:

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