Dynamics of the condensate in zero-range processes

Details Dynamics of the condensate in zero-range processes Dynamics of the condensate in zero-range processes

2005-05-26

arxiv.org/abs/cond-mat/0505640v2

J. Phys. A 38 (2005) 7215-7237

Physics

Condensed Matter

Statistical Mechanics

27 pages, 7 figures. Minor changes and updates performed

Scientific paper

10.1088/0305-4470/38/33/002

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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