Kinetic glass behavior in a diffusive model

TL;DR

This paper investigates kinetic glass properties in a diffusive Edwards-Anderson model, revealing distinct relaxation behaviors, tunable two-temperature effects, and a transition from rigid to floppy states through bond dilution.

Contribution

It demonstrates that a simple Glauber Monte Carlo model can reproduce key kinetic glass phenomena observed in more complex simulations.

Findings

Spin and bond autocorrelations differ in two-time relaxation.

Bond subsystem exhibits two-time behavior with tunable temperature effects.

Identifies a rigid-to-floppy transition as a function of bond dilution.

Abstract

Three properties of the Edwards-Anderson model with mobile bonds are investigated which are characteristic of kinetic glasses. First is two-time relaxation in aged systems, where a significant difference is observed between spin and bond autocorrelation functions. The spin subsystem does not show two-time behavior, and the relaxation is stretched exponential. The bond subsystem shows two-time behavior, with the first relaxation nearly exponential and the second similar to the spin one. Second is the two-temperature behavior, which can be tuned by bond dilution through the full range reported in the literature. Third is the rigid-to-floppy transition, identified as a function of bond dilution. Simple Glauber Monte Carlo evolution without extraneous constraints reproduces the behavior of classical kinetic simulations, with the bond (spin) degree of freedom corresponding to configurational (orientational) disorder.