Multiple currents in charged continua

Burton, David A and Gratus, J. and Tucker, Robin W. (2007) Multiple currents in charged continua. Journal of Physics A: Mathematical and Theoretical, 40 (4). pp. 811-829. ISSN 1751-8113

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It is argued that continuum realizations 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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Journal Article
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Journal of Physics A: Mathematical and Theoretical
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06 Aug 2008 16:52
Last Modified:
21 Nov 2022 18:05