Numerical Simulations of the Random Phase Sine Gordon Model

TL;DR

This paper presents extensive numerical simulations of the Random Phase Sine Gordon Model, analyzing static and dynamic behaviors across different couplings, confirming theoretical predictions about the glass transition.

Contribution

The study provides the first comprehensive numerical validation of RG predictions for both static and dynamic aspects of the model.

Findings

Identification of the glass transition temperature varying with coupling

Qualitative agreement with RG predictions in static signals

Quantitative agreement with RG predictions in dynamic signals

Abstract

We have performed comprehensive numerical simulations of the Random Phase Sine Gordon Model, studying both statics and dynamics for various values of the coupling. The glass transition can be seen both in static and dynamic signals at a temperature that depends on the coupling. Our results agree qualitatively (statics) and quantitatively (dynamics) with Renormalisation Group predictions.