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A many-particle approach to the gyro-kinetic theory

Published online by Cambridge University Press:  01 October 2007

ALEXEY MISHCHENKO  and
AXEL KÖNIES
ALEXEY MISHCHENKO
Affiliation:
Max-Planck-Institut für Plasmaphysik, EURATOM-Association, D-17491 Greifswald, Germany (alexey.mishchenko@ipp.mpg.de)
AXEL KÖNIES
Affiliation:
Max-Planck-Institut für Plasmaphysik, EURATOM-Association, D-17491 Greifswald, Germany (alexey.mishchenko@ipp.mpg.de)
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Abstract

A systematic first-principles approach to the many-particle formulation of the gyro-kinetic theory is suggested. The gyro-kinetic many-particle Hamiltonian is derived using the Lie transform technique. The generalized gyro-kinetic equation is obtained following the Born–Bogoliubov–Green–Kirkwood–Yvon approach. The microscopic expression for the self-consistent potential and the polarization density is obtained. It is shown that new terms appear in the gyro-kinetic polarization that can not be derived in the conventional approach. An expression for the collision term is obtained in the Landau approximation.

Type
Papers
Information
Journal of Plasma Physics , Volume 73 , Issue 5 , October 2007 , pp. 757 - 772
Copyright
Copyright © Cambridge University Press 2006

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