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Multiple currents in charged beams

D. A. Burton·J. Gratus·R. W. Tucker
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Abstract

It is argued that continuum realisations of distributions of collisionless charged particles should accommodate a dynamically evolving number of electric currents even if the continuum is composed of only one species of particle, such as electrons. A model is proposed that self-consistently describes the interaction of such a continuum and its electromagnetic field. It is formulated using a Lagrangian approach and employs a "folded" flow map to describe the bulk particle motion. An asymptotic perturbation scheme is developed to analyse ultra-relativistic multi-component current configurations. The model is fully relativistic and is formulated over Minkowski spacetime using intrinsic tensor field theory.

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D. A. Burton, J. Gratus, R. W. Tucker. 2006-09-20. Multiple currents in charged beams. https://doi.org/10.1088/1751-8113/40/4/016

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