Spin-glass thermo-remanent magnetization revisited: a numerical and analytical study

TL;DR

This study uses numerical simulations and analytical methods to analyze thermoremanent magnetization in 3D spin glasses, revealing quakes as key non-equilibrium events and confirming the applicability of Record Dynamics and the Waiting Time Method.

Contribution

It demonstrates that quakes are log-Poisson processes and links cluster overturning to aging dynamics, supporting the use of Record Dynamics and the Waiting Time Method in spin glass studies.

Findings

Quakes are log-Poisson processes linked to energy fluctuations.

Cluster size growth correlates with experimental and spatial correlation data.

Waiting Time Method effectively simulates aging dynamics in spin glasses.

Abstract

Thermoremanent magnetization data for the 3D Edwards-Anderson spin glass are generated using the Waiting Time Method as simulational tool and interpreted using Record Dynamics. We verify that clusters of contiguous spins are overturned by quakes, non-equilibrium events linked to record sized energy fluctuations and show that quaking is a log-Poisson process, i.e. a Poisson process whose average depends on the logarithm of the system age, counted from the initial quench. Our results compare favorably with experimental thermoremanent magnetization findings and with the spontaneous fluctuation dynamics of the E-A model. The logarithm growth of the size of overturned clusters is related to similar experimental results and to the growing length scale of the spin-spin spatial correlation function. The analysis buttresses the applicability of the Waiting Time Method as a simulational tool and of Record Dynamics as coarse-graining method for aging dynamics.