Stochastic Cutoff Method for Long-Range Interacting Systems

• Sasaki Munetaka

  Department of Applied Physics, Tohoku University

• Matsubara Fumitaka

  Department of Applied Physics, Tohoku University

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 V_ij of an N-particle system decrease with the distance as r_ij^−α, computational time per Monte Carlo step is O(N) for α≥d and O(N^2−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.

Journal

• Journal of the Physical Society of Japan

  Journal of the Physical Society of Japan 77 (2), 024004-024004, 2008

  THE PHYSICAL SOCIETY OF JAPAN

Keywords

• long-range interaction
• Monte Carlo
• algorithm
• dipolar interactions

Details

• CRID: 1390282679175066624
• NII Article ID: 130005436334
• NII Article ID: 110006613886
• NII Article ID: 210000107093
• NII Book ID: AA00704814
• DOI: 10.1143/jpsj.77.024004
• ISSN: 13474073
• ISSN: 00319015
• NDL BIB ID: 9377548
• Web Site: http://id.ndl.go.jp/bib/9377548
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I9377548
• Web Site: https://journals.jps.jp/doi/pdf/10.1143/JPSJ.77.024004
• Text Lang: en
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed