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A modified Hamilton-Jacobi formalism is introduced as a tool to obtain the energy-momentum and angular-momentum tensors for any kind of nonlinear or linearised Maxwell-collisionless kinetic theories. The emphasis is on linearised theories, for which these tensors are derived for the first time. The kinetic theories treated - which need not be the same for all particle species in a plasma - are the Vlasov and kinetic guiding centre theories. The Hamiltonian for the guiding centre motion is taken in the form resulting from Dirac's constraint theory for non-standard Lagrangian systems. As an example of the Maxwell-kinetic guiding centre theory, the second-order energy for a perturbed homogeneous magnetised plasma is calculated with initially vanishing field perturbations. The expression obtained is compared with the corresponding one of Maxwell-Vlasov theory.

Additional information

Authors: PFIRSCH D, Max-Planck-Institut für Plasmaphysik, Garching bei München (DE);MORRISON P J, Department of Physics and Institute for Fusion Studies, The University of Texas at Austin, Austin (US)
Bibliographic Reference: Report: IPP 6/289 EN (1990)
Availability: Available from Max-Planck-Institut für Plasmaphysik, 8046 Garching bei München (DE)
Record Number: 199011154 / Last updated on: 1994-12-01
Original language: en
Available languages: en