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Full Record Details
Persistent URL
http://purl.org/net/epubs/work/48831
Record Status
Checked
Record Id
48831
Title
The electrodynamics of charged continua
Contributors
J Gratus (Lancaster U.)
,
DA Burton (Lancaster U.)
,
RW Tucker (Lancaster U.)
Abstract
The dynamic behaviour of a distribution of charged particles is explored in terms of a selfpermeable continuum model interacting self-consistently with the Maxwell field in vacuo. The model is developed using intrinsic tensor field theory and exploits to the full the relativistic structure of Minkowski spacetime. The model predicts the dynamic formation of domains that separate multi-component currents. To determine the location of such domains one is confronted with a new type of electrodynamic problem in which the number of charged current components is indefinite and the state of a finite bunch of charge may approach a highly mixed configuration reminiscent of turbulence. In this paper a formalism is established to describe such a multi-component system in terms of a flow map between 4-manifolds. This map inter-relates a complex Euler description of electrodynamics on spacetime with a computational Lagrangian scheme on a 4-dimensional body-time manifold, the domain of the flow map.
Organisation
CCLRC
,
CI
Keywords
Physics
Funding Information
Related Research Object(s):
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Language
English (EN)
Type
Details
URI(s)
Local file(s)
Year
Paper In Conference Proceedings
In Workshop on Global Integrability of Field Theories and Applications, Cockcroft Institute, 2006,
CI Preprints
, Cockcroft-06-77 (2006).
Cockcroft-06-77.pdf
2006
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