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
Full text not available from this repository.Abstract
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.