Equilibrium and off-equilibrium simulations of the 4d Gaussian spin glass

TL;DR

This paper investigates the static and dynamic properties of a four-dimensional Gaussian spin glass, refining critical parameters and establishing new methods to determine the order parameter through off-equilibrium analysis.

Contribution

It provides more precise estimates of critical temperature and exponents, and introduces a novel way to measure the order parameter dynamically.

Findings

Refined critical temperature and exponents for 4D Gaussian spin glass.

Established the general form of the autocorrelation function off-equilibrium.

First-time dynamic determination of the order parameter.

Abstract

In this paper we study the on and off-equilibrium properties of the four dimensional Gaussian spin glass. In the static case we determine with more precision that in previous simulations both the critical temperature as well as the critical exponents. In the off-equilibrium case we settle the general form of the autocorrelation function, and show that is possible to obtain dynamically, for the first time, a value for the order parameter.