Numerical Simulations of Random Phase Sine-Gordon Model and Renormalization Group Predictions

Abstract

Numerical Simulations of the random phase sine-Gordon model suffer from strong finite size effects preventing the non-Gaussian ${\log }^{2}r$ component of the spatial correlator from following the universal infinite volume prediction. We show that a finite size prediction based on perturbative Renormalisation Group (RG) arguments agrees well with new high precision simulations for small coupling and close to the critical temperature.

13 pages, 3 ps figures. Extensive new numerical simulations

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Cited by in corpus (1)

• Super-Rough Glassy Phase of the Random Field XY Model in Two Dimensions