English

Nonflat Histogram Techniques for Spin Glasses

Disordered Systems and Neural Networks 2020-11-18 v1 Statistical Mechanics Computational Physics

Abstract

We study the bimodal Edwards-Anderson spin glass comparing established methods, namely the multicanonical method, the 1/k1/k-ensemble and parallel tempering, to an approach where the ensemble is modified by simulating power-law-shaped histograms in energy instead of flat histograms as in the standard multicanonical case. We show that by this modification a significant speed-up in terms of mean round-trip times can be achieved for all lattice sizes taken into consideration.

Keywords

Cite

@article{arxiv.2011.08560,
  title  = {Nonflat Histogram Techniques for Spin Glasses},
  author = {Fabio Müller and Stefan Schnabel and Wolfhard Janke},
  journal= {arXiv preprint arXiv:2011.08560},
  year   = {2020}
}
R2 v1 2026-06-23T20:18:42.195Z