Chaos and Universality in a Four-Dimensional Spin Glass

TL;DR

This study investigates chaos in a four-dimensional Ising spin glass through finite size scaling of Monte Carlo simulations, revealing universal chaos exponents and the influence of dimension on chaos behavior.

Contribution

It provides the first detailed analysis of chaos in 4D spin glasses, showing universality of chaos exponents across coupling and temperature perturbations.

Findings

Chaos exponents are identical for coupling and temperature perturbations.

Chaos is more pronounced below the critical temperature.

Dimension four is above the critical dimension where temperature chaos diminishes.

Abstract

We present a finite size scaling analysis of Monte Carlo simulation results on a four dimensional Ising spin glass. We study chaos with both coupling and temperature perturbations, and find the same chaos exponent in each case. Chaos is investigated both at the critical temperature and below where it seems to be more efficient (larger exponent). Dimension four seems to be above the critical dimension where chaos with temperature is no more present in the critical region. Our results are consistent with the Gaussian and bimodal coupling distributions being in the same universality class.