Exact Results for 1D Conserved Order Parameter Model

TL;DR

This paper reviews exact results for a one-dimensional particle-exchange model that exhibits phase separation and reaches a frozen state, providing insights into zero-temperature dynamics with irreversible moves.

Contribution

It presents new exact solutions for a 1D conserved order parameter model with irreversible dynamics, advancing understanding of phase separation at zero temperature.

Findings

Model reaches a frozen, initial-condition-dependent state.

Exact solutions describe phase separation dynamics.

Irreversible moves lead to non-trivial frozen configurations.

Abstract

Recent exact results for a particle-exchange model on a linear lattice, with only irreversible moves reducing the local energy allowed, are reviewed. This model describes a zero-temperature Kawasaki-type phase separation process which reaches a frozen, initial-condition-dependent state at large times.