Generalized off-equilibrium fluctuation-dissipation relations in random Ising systems

TL;DR

This paper demonstrates the effectiveness of a numerical method based on off-equilibrium fluctuation-dissipation relations for studying slow dynamics in disordered Ising systems, providing new insights into spin glasses and Griffiths phases.

Contribution

It extends the application of off-equilibrium fluctuation-dissipation relations to analyze complex disordered systems, including spin glasses and Griffiths phases, with verified accuracy.

Findings

Method accurately characterizes slow dynamics in disordered systems.

Provides new evidence on the frozen phase of finite-dimensional spin glasses.

Studies the Griffiths phase in diluted and random field Ising models.

Abstract

We show that the numerical method based on the off-equilibrium fluctuation-dissipation relation does work and is very useful and powerful in the study of disordered systems which show a very slow dynamics. We have verified that it gives the right information in the known cases (diluted ferromagnets and random field Ising model far from the critical point) and we used it to obtain more convincing results on the frozen phase of finite-dimensional spin glasses. Moreover we used it to study the Griffiths phase of the diluted and the random field Ising models.