[Table of Contents]

Plasma and Fusion Research

Volume 3, 057 (2008)

Regular Articles

The Conjugate Variable Method in Hamilton-Lie Perturbation Theory - Applications to Plasma Physics -
Shinji TOKUDA
Japan Atomic Energy Agency, Naka, Ibaraki, 311-0193 Japan
(Received 21 February 2008 / Accepted 29 July 2008 / Published 2 October 2008)

Abstract

The conjugate variable method, an essential ingredient in the path-integral formalism of classical statistical dynamics, is used to apply the Hamilton-Lie perturbation theory to a system of ordinary differential equations that does not have the Hamiltonian dynamic structure. The method endows the system with this structure by doubling the unknown variables; hence, the canonical Hamilton-Lie perturbation theory becomes applicable to the system. The method is applied to two classical problems of plasma physics to demonstrate its effectiveness and study its properties: a non-linear oscillator that can explode and the guiding center motion of a charged particle in a magnetic field.

Keywords

one-form, Hamilton-Lie perturbation method, conjugate variable, non-linear oscillator, guiding center motion, plasma physics

DOI: 10.1585/pfr.3.057

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This paper may be cited as follows:

Shinji TOKUDA, Plasma Fusion Res. 3, 057 (2008).