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

Journal Article · Fri Feb 01 04:00:00 EST 1991 · Physics of Fluids B; (USA)

DOI:https://doi.org/10.1063/1.859735· OSTI ID:6048843

Pfirsch, D ^[1]; Morrison, P J ^[2]

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1. Max-Planck-Institut fuer Plasmaphysik, EURATOM Association, D-8046 Garching bei Muenchen, Germany (DE)
2. Department of Physics and Institute for Fusion Studies, The University of Texas at Austin, Austin, Texas (USA)

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 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 nonstandard 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.

• DOE Contract Number: FG05-80ET53088
• OSTI ID: 6048843
• Journal Information: Physics of Fluids B; (USA), Journal Name: Physics of Fluids B; (USA) Vol. 3:2; ISSN 0899-8221; ISSN PFBPE
• 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
CORRELATIONS
DIFFERENTIAL EQUATIONS
ELECTROMAGNETIC FIELDS
ENERGY-MOMENTUM TENSOR
EQUATIONS
FUNCTIONS
GUIDING-CENTER APPROXIMATION
HAMILTON-JACOBI EQUATIONS
HAMILTONIANS
LAGRANGIAN FUNCTION
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MODIFICATIONS
NONLINEAR PROBLEMS
PARTIAL DIFFERENTIAL EQUATIONS
PHASE SPACE
PLASMA
QUANTUM OPERATORS
SPACE
TENSORS