This article has an erratum: [https://doi.org/10.1209/0295-5075/90/49901]
Volume 89, Number 2, January 2010
|Number of page(s)
|05 February 2010
Charged relativistic fluids and non-linear electrodynamics
Department of Physics, Koç University - 34450 Istanbul, Turkey
2 The Cockcroft Institute - Daresbury, UK, EU
3 Department of Physics, Lancaster University - Lancaster, UK, EU
Accepted: 11 January 2010
The electromagnetic fields in Maxwell's theory satisfy linear equations in the classical vacuum. This is modified in classical non-linear electrodynamic theories. To date there has been little experimental evidence that any of these modified theories are tenable. However with the advent of high-intensity lasers and powerful laboratory magnetic fields this situation may be changing. We argue that an approach involving the self-consistent relativistic motion of a smooth fluid-like distribution of matter (composed of a large number of charged or neutral particles) in an electromagnetic field offers a viable theoretical framework in which to explore the experimental consequences of non-linear electrodynamics. We construct such a model based on the theory of Born and Infeld and suggest that a simple laboratory experiment involving the propagation of light in a static magnetic field could be used to place bounds on the fundamental coupling in that theory. Such a framework has many applications including a new description of the motion of particles in modern accelerators and plasmas as well as phenomena in astrophysical contexts such as in the environment of magnetars, quasars and gamma-ray bursts.
PACS: 02.40.Hw – Classical differential geometry / 03.50.De – Classical electromagnetism, Maxwell equations / 41.20.-q – Applied classical electromagnetism
© EPLA, 2010
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