Stochastic cutoff method for long-range interacting systems

Munetaka Sasaki, Fumitaka Matsubara

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)


A new Monte Carlo method for long-range interacting systems is presented. This method involves eliminating interactions stochastically with the detailed balance condition satisfied. When pairwise interactions Vij of an N-particle system decrease with the distance as rij , computational time per Monte Carlo step is O(N) for α ≥ d and O(N2-α/d) for α < d, where d is the spatial dimension. We apply the method to a two-dimensional magnetic dipolar system. The method enables us to treat a huge system of 2562 spins within a reasonable computational time, and reproduces a circular order originating from long-range dipolar interactions.

Original languageEnglish
Article number024004
Journaljournal of the physical society of japan
Issue number2
Publication statusPublished - 2008 Feb 1


  • Algorithm
  • Dipolar interactions
  • Long-range interaction
  • Monte Carlo

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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