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Exploring Born–Infeld electrodynamics using plasmas

2010/06/11 by D. A. Burton, David A. Burton, R. M. G. M. Trines +4 · 2 citations
Earth and Planetary Sciences · Physics and Astronomy · #Amplitude #Atomic physics #Classical mechanics #Computational physics #Context (archaeology) #Dust and Plasma Wave Phenomena #Electric field #Electron #High-pressure geophysics and materials #Laser-Plasma Interactions and Diagnostics #Physics #Plasma #Quantum electrodynamics #Quantum mechanics #Wavelength #physics.plasm-ph

paper · pdf · doi:10.1088/1751-8113/44/9/095501

published as J.Phys.A44:095501,2011 · 10 pages, 1 figure

arxiv created 2010/06/11 · openalex publication_date 2011/02/10 · arxiv updated 2011/02/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

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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