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Dynamics of the condensate in zero-range processes

C. Godreche·J. M. Luck
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Abstract

For stochastic processes leading to condensation, the condensate, once it is formed, performs an ergodic stationary-state motion over the system. We analyse this motion, and especially its characteristic time, for zero-range processes. The characteristic time is found to grow with the system size much faster than the diffusive timescale, but not exponentially fast. This holds both in the mean-field geometry and on finite-dimensional lattices. In the generic situation where the critical mass distribution follows a power law, the characteristic time grows as a power of the system size.

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C. Godreche, J. M. Luck. 2005-08-03. Dynamics of the condensate in zero-range processes. https://doi.org/10.1088/0305-4470%2F38%2F33%2F002

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