Criticality and Condensation in a Non-Conserving Zero Range Process

TL;DR

This paper investigates a non-conserving Zero-Range Process, revealing the existence of generic critical phases and mesocondensates, expanding understanding of phase behavior beyond the traditional conserving models.

Contribution

It introduces a non-conserving variant of the Zero-Range Process that exhibits novel critical phases and mesocondensates, with a comprehensive phase diagram.

Findings

Existence of generic critical phases over a range of parameters

Presence of mesocondensates with subextensive particles

Detailed phase diagram of the non-conserving model

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.