A simple stochastic model for the dynamics of condensation

TL;DR

This paper analyzes a stochastic model for condensation dynamics, revealing a phase transition, a scaling regime, and aging phenomena in the condensed phase through analytical and numerical methods.

Contribution

It introduces a detailed analysis of the condensation dynamics, including scaling behavior and aging, for a model previously studied by Bialas, Burda, and Johnston.

Findings

Identification of a fluid-condensed phase transition.

Derivation of the scaling form of occupation probabilities.

Observation of aging in the condensed phase.

Abstract

We consider the dynamics of a model introduced recently by Bialas, Burda and Johnston. At equilibrium the model exhibits a transition between a fluid and a condensed phase. For long evolution times the dynamics of condensation possesses a scaling regime that we study by analytical and numerical means. We determine the scaling form of the occupation number probabilities. The behaviour of the two-time correlations of the energy demonstrates that aging takes place in the condensed phase, while it does not in the fluid phase.