[Table of Contents]

Plasma and Fusion Research

Volume 3, S1073 (2008)

Regular Articles

Algebraic Analysis Approach for Multibody Problems
Shun-ichi OIKAWA and Hideo FUNASAKA
Graduate School of Engineering, Hokkaido University, N-13, W-8, Sapporo 060-8628, Japan
(Received 15 November 2007 / Accepted 7 March 2008 / Published 1 August 2008)


Here we propose an algebraic analysis approach for multibody Coulomb interactions. The momentum transfer cross section calculated by the algebraic approximation is close to the exact one. The CPU time required for the algebraic approximation is only about 20 min using a personal computer, whereas the exact analysis requires 15 h to integrate the entire set of multibody equations of motion, in which all the field particles are at rest.


multibody problem, algebraic analysis, anomalous diffusion

DOI: 10.1585/pfr.3.S1073


  • [1] J. Makino and M. Taiji, APJ 480, 432-446 (1997).
  • [2] H. Funasaka, Master thesis, Division of Quantum Science and Engineering, Hokkaido University (2007).

This paper may be cited as follows:

Shun-ichi OIKAWA and Hideo FUNASAKA, Plasma Fusion Res. 3, S1073 (2008).