Violation of the Fluctuation Dissipation Theorem in Finite Dimensional Spin Glasses

TL;DR

This paper investigates how the fluctuation-dissipation theorem is violated in finite-dimensional spin glasses, providing numerical evidence that links off-equilibrium dynamics with replica symmetry breaking.

Contribution

It demonstrates the numerical equivalence of functions characterizing FDT violation and replica symmetry breaking in finite-dimensional spin glasses.

Findings

FDT violation function X(C) scales with system dimensions

The functions X(C) and x(C) are numerically equal

Results support the existence of a spin glass phase with broken replica symmetry

Abstract

We study the violation of the fluctuation-dissipation theorem in the three and four dimensional Gaussian Ising spin glasses using on and off equilibrium simulations. We have characterized numerically the function X(C) that determine the violation and we have studied its scaling properties. Moreover we have computed the function x(C) which characterize the breaking of the replica symmetry directly from equilibrium simulations. The two functions are numerically equal and in this way we have established that the conjectured connection between the violation of fluctuation dissipation theorem in the off-equilibrium dynamics and the replica symmetry breaking at equilibrium holds for finite dimensional spin glasses. These results point to a spin glass phase with spontaneously broken replica symmetry in finite dimensional spin glasses.