Extreme Long-time Dynamic Monte Carlo Simulations

TL;DR

This paper investigates the long-time behavior of the metastable phase in a 3D Ising model using advanced Monte Carlo simulations, providing extensive data on metastable lifetimes that align with theoretical predictions.

Contribution

It introduces the application of projective dynamics to simulate extremely long metastable lifetimes in the 3D Ising model, covering over fifty decades in time.

Findings

Metastable lifetime data agree with theoretical models.

Simulations span more than fifty decades in time.

The projective dynamics method effectively captures long-time behavior.

Abstract

We study the extreme long-time behavior of the metastable phase of the three-dimensional Ising model with Glauber dynamics in an applied magnetic field and at a temperature below the critical temperature. For these simulations we use the advanced simulation method of projective dynamics. The algorithm is described in detail, together with its application to the escape from the metastable state. Our results for the field dependence of the metastable lifetime are in good agreement with theoretical expectations and span more than fifty decades in time.