Nonequilibrium phase transitions in models of adsorption and desorption

TL;DR

This paper investigates nonequilibrium phase transitions in a particle system with input and evaporation, analyzing the transition from finite to growing particle number and calculating critical exponents across dimensions.

Contribution

It introduces a detailed analysis of phase transitions in diffusing, coagulating particles with input and evaporation, including critical exponent calculations in all dimensions.

Findings

Transition from finite to infinite particle number

Critical exponents determined across dimensions

Mass distribution behavior near criticality

Abstract

The nonequilibrium phase transition in a system of diffusing, coagulating particles in the presence of a steady input and evaporation of particles is studied. The system undergoes a transition from a phase in which the average number of particles is finite to one in which it grows linearly in time. The exponents characterizing the mass distribution near the critical point are calculated in all dimensions.