The energymomentum tensor for the linearized MaxwellVlasov and kinetic guiding center theories
Abstract
A modified HamiltonJacobi formalism is introduced as a tool to obtain the energymomentum and angularmomentum tensors for any kind of nonlinear or linearized Maxwellcollisionless kinetic theories. The emphasis is on linearized theories, for which these tensors are derived for the first time. The kinetic theories treatedwhich need not be the same for all particle species in a plasmaare 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 Maxwellkinetic guiding center theory, the secondorder energy for a perturbed homogeneous magnetized plasma is calculated with initially vanishing field perturbations. The expression obtained is compared with the corresponding one of MaxwellVlasov theory.
 Authors:

 MaxPlanckInstitut fuer Plasmaphysik, EURATOM Association, D8046 Garching bei Muenchen, Germany (DE)
 Department of Physics and Institute for Fusion Studies, The University of Texas at Austin, Austin, Texas (USA)
 Publication Date:
 OSTI Identifier:
 6048843
 DOE Contract Number:
 FG0580ET53088
 Resource Type:
 Journal Article
 Journal Name:
 Physics of Fluids B; (USA)
 Additional Journal Information:
 Journal Volume: 3:2; Journal ID: ISSN 08998221
 Country of Publication:
 United States
 Language:
 English
 Subject:
 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; COLLISIONLESS PLASMA; ENERGYMOMENTUM TENSOR; ANGULAR MOMENTUM; BOLTZMANNVLASOV EQUATION; CORRELATIONS; ELECTROMAGNETIC FIELDS; GUIDINGCENTER APPROXIMATION; HAMILTONJACOBI EQUATIONS; HAMILTONIANS; LAGRANGIAN FUNCTION; MODIFICATIONS; NONLINEAR PROBLEMS; PHASE SPACE; DIFFERENTIAL EQUATIONS; EQUATIONS; FUNCTIONS; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; PARTIAL DIFFERENTIAL EQUATIONS; PLASMA; QUANTUM OPERATORS; SPACE; TENSORS; 700103*  Fusion Energy Plasma Research Kinetics
Citation Formats
Pfirsch, D, and Morrison, P J. The energymomentum tensor for the linearized MaxwellVlasov and kinetic guiding center theories. United States: N. p., 1991.
Web. doi:10.1063/1.859735.
Pfirsch, D, & Morrison, P J. The energymomentum tensor for the linearized MaxwellVlasov and kinetic guiding center theories. United States. doi:10.1063/1.859735.
Pfirsch, D, and Morrison, P J. Fri .
"The energymomentum tensor for the linearized MaxwellVlasov and kinetic guiding center theories". United States. doi:10.1063/1.859735.
@article{osti_6048843,
title = {The energymomentum tensor for the linearized MaxwellVlasov and kinetic guiding center theories},
author = {Pfirsch, D and Morrison, P J},
abstractNote = {A modified HamiltonJacobi formalism is introduced as a tool to obtain the energymomentum and angularmomentum tensors for any kind of nonlinear or linearized Maxwellcollisionless kinetic theories. The emphasis is on linearized theories, for which these tensors are derived for the first time. The kinetic theories treatedwhich need not be the same for all particle species in a plasmaare 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 Maxwellkinetic guiding center theory, the secondorder energy for a perturbed homogeneous magnetized plasma is calculated with initially vanishing field perturbations. The expression obtained is compared with the corresponding one of MaxwellVlasov theory.},
doi = {10.1063/1.859735},
journal = {Physics of Fluids B; (USA)},
issn = {08998221},
number = ,
volume = 3:2,
place = {United States},
year = {1991},
month = {2}
}