The energy-momentum tensor for the linearized Maxwell-Vlasov and kinetic guiding center theories

Technical Report · Thu Feb 01 04:00:00 EST 1990

DOI:https://doi.org/10.2172/6963955· OSTI ID:6963955

Pfirsch, D ^[1]; Morrison, P J ^[2]

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1. Association Euratom-Max-Planck-Institut fuer Plasmaphysik, Garching (Germany, F.R.)
2. Texas Univ., Austin, TX (USA)

A modified Hamilton-Jacobi formalism is introduced as a tool to obtain the energy-momentum and angular-momentum tensors for any king of nonlinear or linearized Maxwell-collisionless kinetic theories. The emphasis is on linearized 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 center theories. The Hamiltonian for the guiding center 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 center theory, the second-order energy for a perturbed homogeneous magnetized plasma is calculated with initially vanishing field perturbations. The expression obtained is compared with the corresponding one of Maxwell-Vlasov theory. 11 refs.

• Research Organization: Texas Univ., Austin, TX (USA). Inst. for Fusion Studies
• Sponsoring Organization: DOE/ER
• DOE Contract Number: FG05-80ET53088
• OSTI ID: 6963955
• Report Number(s): DOE/ET/53088-420; IFSR--420; ON: DE90009336
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700103* -- Fusion Energy-- Plasma Research-- Kinetics
ANGULAR MOMENTUM
BOLTZMANN-VLASOV EQUATION
COLLISIONLESS PLASMA
DIFFERENTIAL EQUATIONS
ENERGY-MOMENTUM TENSOR
EQUATIONS
HAMILTON-JACOBI EQUATIONS
HOMOGENEOUS PLASMA
KINETIC EQUATIONS
NONLINEAR PROBLEMS
PARTIAL DIFFERENTIAL EQUATIONS
PLASMA
TENSORS