Off-equilibrium finite-size method for critical behavior analyses

TL;DR

This paper introduces a dynamic off-equilibrium method for analyzing critical behavior in systems with slow equilibration, enabling accurate estimation of critical parameters without reaching equilibrium.

Contribution

The paper presents a novel off-equilibrium approach that generalizes the cumulant method, reducing computational effort for critical parameter estimation in complex systems.

Findings

Accurate estimates of critical exponents for 3D Ising spin glass.

Precise determination of the critical temperature.

Method effective for systems with long equilibration times.

Abstract

We present a new dynamic off-equilibrium method for the study of continuous transitions, which represents a dynamic generalization of the usual equilibrium cumulant method. Its main advantage is that critical parameters are derived from numerical data obtained much before equilibrium has been attained. Therefore, the method is particularly useful for systems with long equilibration times, like spin glasses. We apply it to the three-dimensional Ising spin-glass model, obtaining accurate estimates of the critical exponents and of the critical temperature with a limited computational effort.