Progressive quenching --- Ising chain models

TL;DR

This paper investigates a progressive quenching process in Ising chains with various interaction ranges, showing that the resulting quenched configurations always form an equilibrium ensemble.

Contribution

It introduces a progressive quenching method in Ising chains and proves the quenched configurations are always equilibrium ensembles across different interaction scenarios.

Findings

Quenched configurations form equilibrium ensembles.

The method applies to chains with nearest and second-nearest neighbor interactions.

Progressive quenching preserves equilibrium properties.

Abstract

Of the Ising spin chain with the nearest neighbor or up to the second nearest neighbor interactions, we fixed progressively either a single spin or a pair of neighboring spins at the value they took. Before the subsequent fixation, the unquenched part of the system is equilibrated. We found that, in all four combinations of the cases, the ensemble of quenched spin configurations is the equilibrium ensemble.