Binary Interaction Approximation to N-Body Problems

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Author(s)

    • OIKAWA Shun-ichi
    • Graduate School of Engineering, Hokkaido University, Sapporo 060-8628, Japan
    • FUNASAKA Hideo
    • Graduate School of Engineering, Hokkaido University, Sapporo 060-8628, Japan

Abstract

The binary interaction approximation (BIA) to N-body problems is proposed. The BIA conserves total linear momenta in principle. Other invariants, such as the total angular momentum and total energy, are conserved to at least 12 effective digits for a two-dimensional hydrogen plasma of T = 10 keV and n = 10<sup>20</sup> m<sup>−3</sup>. For such a plasma, the total CPU time of the BIA is found to scale as approximately N<sup>1.9</sup>, while the conventional direct integration method scales as approximately N<sup>3</sup>.

Journal

  • Plasma and Fusion Research

    Plasma and Fusion Research (5), S1051-S1051, 2010

    Japan Society of Plasma Science and Nuclear Fusion Research

Codes

  • NII Article ID (NAID)
    130000442472
  • Text Lang
    ENG
  • Article Type
    journal article
  • Data Source
    IR  J-STAGE 
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