Criticality and Condensation in a Non-Conserving Zero Range Process
Statistical Mechanics
2009-11-13 v2
Abstract
The Zero-Range Process, in which particles hop between sites on a lattice under conserving dynamics, is a prototypical model for studying real-space condensation. Within this model the system is critical only at the transition point. Here we consider a non-conserving Zero-Range Process which is shown to exhibit generic critical phases which exist in a range of creation and annihilation parameters. The model also exhibits phases characterised by mesocondensates each of which contains a subextensive number of particles. A detailed phase diagram, delineating the various phases, is derived.
Cite
@article{arxiv.0705.4042,
title = {Criticality and Condensation in a Non-Conserving Zero Range Process},
author = {A. G. Angel and M. R. Evans and E. Levine and D. Mukamel},
journal= {arXiv preprint arXiv:0705.4042},
year = {2009}
}