Phase separation in systems with absorbing states

TL;DR

This paper investigates phase separation in systems with absorbing states, analyzing their unique properties, phase diagrams, growth laws, and scale invariance through analytical and numerical methods, with discussions on applications.

Contribution

It provides a detailed analysis of phase separation in systems with absorbing states, highlighting differences from standard phase separation and exploring their phase diagrams and growth laws.

Findings

Distinct phase separation behavior due to absorbing states

Determined phase diagrams for these systems

Identified growth laws and scale invariance in one and two dimensions

Abstract

We study the problem of phase separation in systems with a positive definite order parameter, and in particular, in systems with absorbing states. Owing to the presence of a single minimum in the free energy driving the relaxation kinetics, there are some basic properties differing from standard phase separation. We study analytically and numerically this class of systems; in particular we determine the phase diagram, the growth laws in one and two dimensions and the presence of scale invariance. Some applications are also discussed.