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Multiple currents in charged continua

Research output: Contribution to journalJournal article


<mark>Journal publication date</mark>26/01/2007
<mark>Journal</mark>Journal of Physics -London- a Mathematical and General
Issue number4
Number of pages19
Pages (from-to)811-829
<mark>Original language</mark>English


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.