Metastable states of the Ising chain with Kawasaki dynamics

TL;DR

This paper studies the metastable states of a ferromagnetic Ising chain under Kawasaki dynamics at zero temperature, analyzing their statistical properties and comparing them with analytical predictions from the Edwards approach.

Contribution

It provides a detailed analysis of metastable configurations in the Ising chain and compares empirical results with theoretical predictions from the Edwards ensemble.

Findings

Statistics of energy, spin correlations, and domain sizes in metastable states.

Good agreement between empirical data and Edwards ensemble predictions.

Insights into the structure of blocked configurations at zero temperature.

Abstract

We consider a ferromagnetic Ising chain evolving under Kawasaki dynamics at zero temperature. We investigate the statistics of the metastable configurations in which the system gets blocked (statistics of energy, spin correlations, distribution of domain sizes). A systematic comparison is made with analytical predictions for the ensemble of all blocked configurations taken with equal a priori weights (Edwards approach).