English

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

Disordered Systems and Neural Networks 2011-02-16 v3

Abstract

Numerical Simulations of the random phase sine-Gordon model suffer from strong finite size effects preventing the non-Gaussian log2r\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.

Keywords

Cite

@article{arxiv.cond-mat/0511439,
  title  = {Numerical Simulations of Random Phase Sine-Gordon Model and Renormalization Group Predictions},
  author = {D. J. Lancaster and J. J. Ruiz-Lorenzo},
  journal= {arXiv preprint arXiv:cond-mat/0511439},
  year   = {2011}
}

Comments

13 pages, 3 ps figures. Extensive new numerical simulations