Cluster Monte Carlo and dynamical scaling for long-range interactions

Emilio Flores-Sola, Martin Weigel, Ralph Kenna, Bertrand Berche

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)
18 Downloads (Pure)


Many spin systems affected by critical slowing down can be efficiently simulated using cluster algorithms. Where such systems have long-range interactions, suitable formulations can additionally bring down the computational effort for each update from O($N^2$) to O($N\ln N$) or even O($N$), thus promising an even more dramatic computational speed-up. Here, we review the available algorithms and propose a new and particularly efficient single-cluster variant. The efficiency and dynamical scaling of the available algorithms are investigated for the Ising model with power-law decaying interactions.
Original languageEnglish
Pages (from-to)581 - 594
Number of pages14
JournalThe European Physical Journal Special Topics
Issue number4
Publication statusPublished - 5 Apr 2017


  • cond-mat.stat-mech
  • hep-lat
  • physics.comp-ph


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