A note on the metastability of the Ising model: the alternate updating case

TL;DR

This paper investigates the metastable behavior of the 2D Ising model under an alternate updating rule, showing that the exit path from the metastable phase remains consistent despite the different dynamics.

Contribution

It introduces and analyzes a new updating scheme for the Ising model, demonstrating that the metastable exit path is unaffected by this change.

Findings

Exit path from metastable phase is unchanged under alternate updating.

The dynamics differ from Glauber serial case but do not alter metastable exit behavior.

Provides insights into metastability under different updating rules.

Abstract

We study the metastable behavior of the two-dimensional Ising model in the case of an alternate updating rule: parallel updating of spins on the even (odd) sublattice are permitted at even (odd) times. We show that although the dynamics is different from the Glauber serial case the typical exit path from the metastable phase remains the same.