Plasma and Fusion Research

Volume 7, 2401101 (2012)

Regular Articles

Application of the Binary Interaction Approximation to Plasma Oscillation
Shun-ichi OIKAWA, Takanori KAMEI1) and Masaki GOTO
Faculty of Engineering, Hokkaido University, N-13, W-8, Sapporo 060-8628, Japan
1)
Graduate School of Engineering, Hokkaido University, N-13, W-8, Sapporo 060-8628, Japan
(Received 6 December 2011 / Accepted 31 May 2012 / Published 26 July 2012)

Abstract

The BIA (Binary Interaction Approximation) formulation in the presence of neutralizing immovable background ion is presented for analysis of multiple electron motion. Such a BIA scheme is applied to electrons in plasmas. A test calculation shows that 1) the plasma oscillation and its frequency are successfully detected, 2) the CPU time for the BIA are less than 1.5 sec and 1 hour for two and three dimensional analysis, while 127 sec and 13 hours for the direct integration method (DIM) by using a Runge-Kutta-Fehlberg integrator with an absolute error tolerance of 10−16, and 3) the number of time steps for the DIM, in such a case, are as many as 5.8 × 104 and 3.6 × 106, while those for the BIA are only 256 and 512.

Keywords

N-body problem, binary interaction approximation, plasma oscillation, background ion, Fourier analysis

DOI: 10.1585/pfr.7.2401101

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This paper may be cited as follows:

Shun-ichi OIKAWA, Takanori KAMEI and Masaki GOTO, Plasma Fusion Res. 7, 2401101 (2012).