Dynamics of the condensate in zero-range processes
Statistical Mechanics
2007-05-23 v2
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.
Cite
@article{arxiv.cond-mat/0505640,
title = {Dynamics of the condensate in zero-range processes},
author = {C. Godreche and J. M. Luck},
journal= {arXiv preprint arXiv:cond-mat/0505640},
year = {2007}
}
Comments
27 pages, 7 figures. Minor changes and updates performed