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Non-perturbative aspects of particle acceleration in non-linear electrodynamics
13.J. Plebański, Lectures on Non-Linear Electrodynamics (NORDITA, Copenhagen, 1970).
24.A. I. Akhiezer and R. V. Polovin, Sov. Phys.–JETP 3, 696 (1956).
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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.
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