Condensation in zero-range processes on inhomogeneous networks
Statistical Mechanics
2007-10-25 v1 Other Condensed Matter
Abstract
We investigate the role of inhomogeneities in zero-range processes in condensation dynamics.We consider the dynamics of balls hopping between nodes of a network, and find that the condensation is triggered by the ratio k_1/k of the highest degree k_1 to the average degree k. Although the condensate takes on the average an extensive number of balls, its occupation can oscillate in a wide range. We show that in systems with strong inhomogeneity, the typical melting time of the condensate grows exponentially with the number of balls.
Cite
@article{arxiv.cond-mat/0703243,
title = {Condensation in zero-range processes on inhomogeneous networks},
author = {B. Waclaw and L. Bogacz and Z. Burda and W. Janke},
journal= {arXiv preprint arXiv:cond-mat/0703243},
year = {2007}
}
Comments
10 pages, 5 figures