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

D. J. Lancaster·J. J. Ruiz-Lorenzo
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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.

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D. J. Lancaster, J. J. Ruiz-Lorenzo. 2006-11-02. Numerical Simulations of Random Phase Sine-Gordon Model and Renormalization Group Predictions. https://doi.org/10.1088/1742-5468%2F2007%2F01%2Fp01003

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