Exploring Born–Infeld electrodynamics using plasmas

Burton, David A., Trines, Raoul M. G. M., Walton, Timothy orcid iconORCID: 0000-0001-5103-4591 and Wen, Haiboa (2011) Exploring Born–Infeld electrodynamics using plasmas. Journal of Physics A: Mathematical and Theoretical, 44 (9). ISSN 1751-8113

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Official URL: https://doi.org/10.1088/1751-8113/44/9/095501


The behaviour of large amplitude electrostatic waves in cold plasma is investigated in the context of Born–Infeld electrodynamics. Equations of motion for a relativistic electron fluid in a fixed ion background are established using an unconstrained action principle. A simple expression for the maximum electric field of 'quasi-static' electric waves in a cold Born–Infeld plasma is deduced and its properties are analysed. A lower bound on their wavelength is established and an approximation to their frequency is determined for ultrarelativistic phase velocities.

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