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

Abstract

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.

Authors:
 [1];  [2]
  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)
Publication Date:
OSTI Identifier:
6048843
DOE Contract Number:  
FG05-80ET53088
Resource Type:
Journal Article
Journal Name:
Physics of Fluids B; (USA)
Additional Journal Information:
Journal Volume: 3:2; Journal ID: ISSN 0899-8221
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; COLLISIONLESS PLASMA; ENERGY-MOMENTUM TENSOR; ANGULAR MOMENTUM; BOLTZMANN-VLASOV EQUATION; CORRELATIONS; ELECTROMAGNETIC FIELDS; GUIDING-CENTER APPROXIMATION; HAMILTON-JACOBI 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 energy-momentum tensor for the linearized Maxwell--Vlasov and kinetic guiding center theories. United States: N. p., 1991. Web. doi:10.1063/1.859735.
Pfirsch, D, & Morrison, P J. The energy-momentum tensor for the linearized Maxwell--Vlasov and kinetic guiding center theories. United States. doi:10.1063/1.859735.
Pfirsch, D, and Morrison, P J. Fri . "The energy-momentum tensor for the linearized Maxwell--Vlasov and kinetic guiding center theories". United States. doi:10.1063/1.859735.
@article{osti_6048843,
title = {The energy-momentum tensor for the linearized Maxwell--Vlasov and kinetic guiding center theories},
author = {Pfirsch, D and Morrison, P J},
abstractNote = {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.},
doi = {10.1063/1.859735},
journal = {Physics of Fluids B; (USA)},
issn = {0899-8221},
number = ,
volume = 3:2,
place = {United States},
year = {1991},
month = {2}
}