Monte Carlo study of one-dimensional ising models with long-range interactions

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11 Citations (Scopus)


Recently, Fukui and Todo have proposed a new effective Monte Carlo algorithm for long-range interacting systems. Using the algorithm with the nonequilibrium relaxation method, we investigated long-range interacting one-dimensional Ising models both ferromagnetic and antiferromagnetic with the nearest-neighbor ferromagnetic interaction. For the antiferromagnetic model, we found the systems are paramagnetic at finite temperatures.

Original languageEnglish
Article number014002
JournalJournal of the Physical Society of Japan
Issue number1
Publication statusPublished - 2009 Jan 1
Externally publishedYes


  • Algorithms
  • Frustration
  • Long-range interactions
  • Monte Carlo simulation

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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