Zero-Range Processes with Multiple Condensates: Statics and Dynamics

TL;DR

This paper investigates the static and dynamic properties of Zero Range Processes with non-monotonic hopping rates, revealing different condensation phases and analyzing the timescales of condensate formation and evaporation through theoretical and numerical methods.

Contribution

It introduces two classes of non-monotonic hopping rates leading to distinct condensation phases and studies their scaling behaviour and dynamics.

Findings

Identification of mesocondensates and extensive condensates in different phases

Analysis of scaling behaviour of condensate peaks

Determination of creation and evaporation timescales for condensates

Abstract

The steady-state distributions and dynamical behaviour of Zero Range Processes with hopping rates which are non-monotonic functions of the site occupation are studied. We consider two classes of non-monotonic hopping rates. The first results in a condensed phase containing a large (but subextensive) number of mesocondensates each containing a subextensive number of particles. The second results in a condensed phase containing a finite number of extensive condensates. We study the scaling behaviour of the peak in the distribution function corresponding to the condensates in both cases. In studying the dynamics of the condensate we identify two timescales: one for creation, the other for evaporation of condensates at a given site. The scaling behaviour of these timescales is studied within the Arrhenius law approach and by numerical simulations.