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Covariant Lagrangian Methods of Relativistic Plasma Theory by Boghosian, Bruce M. is a scholarly article available to read on EtoBox.

What is Covariant Lagrangian Methods of Relativistic Plasma Theory about?

We obtain a covariant decomposition of the motion of a relativistic charged particle into parallel motion and perpendicular gyration, and transform to guiding-center coordinates using Lie transforms. The natural guiding-center Poisson bracket structure and Hamiltonian are derived. The guiding-center equations of motion are presented to one order higher than the usual drifts, and the correction to the gyromomentum is given. We then allow for eikonal wave perturbations to the Lagrangian action. We develop a manifestly gauge-invariant and covariant oscillation-center theory to arbitrarily high order, and thereby derive the relativistic ponderomotive Hamiltonian. We sum the guiding-center action over a distribution and add the Maxwell action to obtain the total action of a guiding-center plasma. Upon variation, this yields self-consistent covariant relativistic kinetic and field equations; from these we identify the guiding-center current density and the guiding-center magnetization. Noether's theorem then yields covariant conservation laws for the momentum-energy and the angular momentum of a relativistic guiding-center plasma; from these we identify the guiding-center stress-energy t

Author

Boghosian, Bruce M.

Published

2003

Language

EN