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Combined Maxwell and kinetic guiding-center theory with polarization drift: Regularized variational formulation with local charge and energy conservation

Author

Listed:
  • Correa-Restrepo, D.
  • Pfirsch, D.
  • Wimmel, H.K.

Abstract

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 formely 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 combined point-like contributions with electric polarization and magnetization terms.

Suggested Citation

  • Correa-Restrepo, D. & Pfirsch, D. & Wimmel, H.K., 1986. "Combined Maxwell and kinetic guiding-center theory with polarization drift: Regularized variational formulation with local charge and energy conservation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 136(2), pages 453-474.
    • Handle: RePEc:eee:phsmap:v:136:y:1986:i:2:p:453-474
    DOI: 10.1016/0378-4371(86)90261-X
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