Criticality and Condensation in a Non-Conserving Zero Range Process

A. G. Angel, M. R. Evans, E. Levine, D. Mukamel

Published 2007-05-28, updated 2007-08-08Version 2

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.