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Numerical study of the two-replica overlap of the 3D Edwards–Anderson Ising spin glass

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  • Berg, Bernd A
  • Billoire, Alain
  • Janke, Wolfhard

Abstract

We present results of recent high-statistics Monte Carlo simulations of the Edwards–Anderson Ising spin-glass model in three dimensions. The study is based on a non-Boltzmann sampling technique, the multi-self-overlap algorithm which is specifically tailored for sampling rare-event states. We thus concentrate on those properties which are difficult to obtain with standard canonical Boltzmann sampling such as the free-energy barriers FBq in the probability densities PJ(q) of the Parisi overlap parameter q and the behavior of the tails of the disorder averaged density P(q)=[PJ(q)]av. Our results for the tails disagree with mean-field predictions and support extreme order statistics over many orders of magnitude.

Suggested Citation

  • Berg, Bernd A & Billoire, Alain & Janke, Wolfhard, 2003. "Numerical study of the two-replica overlap of the 3D Edwards–Anderson Ising spin glass," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 321(1), pages 49-58.
    • Handle: RePEc:eee:phsmap:v:321:y:2003:i:1:p:49-58
    DOI: 10.1016/S0378-4371(02)01751-X
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