Jump Events in a 3D Edwards-Anderson Spin Glass

TL;DR

This paper extends the concept of jump dynamics from structural glasses to spin glasses, analyzing cooperative spin flips in a 3D Edwards-Anderson model through simulations, revealing time-dependent jump properties and a potential explanation for observed discrepancies.

Contribution

It introduces a generalized jump definition for spin glasses, compares its properties with structural glasses, and provides a trap model explanation for the observed behaviors.

Findings

Jump frequency depends strongly on waiting time after quench.

Jump duration and length are roughly stationary over time.

Rest time between jumps inversely related to jump frequency at long times.

Abstract

The statistical properties of infrequent particle displacements, greater than a certain distance, is known as jump dynamics in the context of structural glass formers. We generalize the concept of jump to the case of a spin glass, by dividing the system in small boxes, and considering infrequent cooperative spin flips in each box. Jumps defined this way share similarities with jumps in structural glasses. We perform numerical simulations for the 3D Edwards-Anderson model, and study how the properties of these jumps depend on the waiting time after a quench. Similar to the results for structural glasses, we find that while jump frequency depends strongly on time, jump duration and jump length are roughly stationary. At odds with some results reported on studies of structural glass formers, at long enough times, the rest time between jumps varies as the inverse of jump frequency. We give a possible explanation for this discrepancy. We also find that our results are qualitatively reproduced by a fully-connected trap model.