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Multiple currents in charged continua

2006/09/20 by David A. Burton, D. A. Burton, Jonathan Gratus +3 · 1 citation
Biochemistry, Genetics and Molecular Biology · Earth and Planetary Sciences · Physics and Astronomy · #Geomagnetism and Paleomagnetism Studies #Geophysical and Geoelectrical Methods #Laser-Plasma Interactions and Diagnostics #physics.acc-ph #physics.plasm-ph

paper · pdf · doi:10.1088/1751-8113/40/4/016

published as J.Phys.A40:811-830,2007 · 6 figures, typo corrected

arxiv created 2006/09/20 · openalex publication_date 2007/01/09 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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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