Burton, David and Flood, Stephen and Wen, Haibao (2015) Non-perturbative aspects of particle acceleration in non-linear electrodynamics. Journal of Mathematical Physics, 56: 042901. ISSN 0022-2488
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Abstract
We undertake an investigation of particle acceleration in the context of non-linear electrodynamics. We deduce the maximum energy that an electron can gain in a non-linear density wave in a magnetised plasma, and we show that an electron can 'surf' a sufficiently intense Born-Infeld electromagnetic plane wave and be strongly accelerated by the wave. The first result is valid for a large class of physically reasonable modifications of the linear Maxwell equations, whilst the second result exploits the special mathematical structure of Born-Infeld theory.