COMBINED MAXWELL AND KINETIC GUIDING CENTER THEORY WITH POLARIZATION DRIFT - REGULARIZED VARIATIONAL FORMULATION WITH LOCAL CHARGE AND ENERGY CONSERVATION
A formerly derived regularization method is applied to time dependent Lagrangian guiding center mechanics, with the polarization drift included. This approach removes the singularity that occurs for B fields with non- vanishing parallel curl. From the Lagrangian equations of motion, Liouville's theorem and a collisionless kinetic equation for the "regularized guiding centers" are derived. A common Lagrangian density for both the guiding centers and the Maxwell fields is obtained by using a "constrained" Hamiltonian and a formerly derived, new variational principle. From this variational formalism local conservation laws for electric charge and energy are derived, together with the correct charge, current, energy and energy flux densities. These densities combine point like contributions with electric polarization and magnetization terms.
Bibliographic Reference: WRITE TO MAX-PLANCK-INSTITUT FUER PLASMAPHYSIK, 8046 GARCHING BEI MUENCHEN (GERMANY), MENTIONING REPORT IPP 6/252, 1985
Record Number: 1989124080200 / Last updated on: 1987-01-01
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