Stochastic cutoff method for long-range interacting systems

Munetaka Sasaki, Fumitaka Matsubara

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

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
Volume77
Issue number2
DOIs
Publication statusPublished - 2008 Feb 1

Keywords

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

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Fingerprint Dive into the research topics of 'Stochastic cutoff method for long-range interacting systems'. Together they form a unique fingerprint.

  • Cite this