Exploring Born-Infeld electrodynamics using plasmas
D.A. Burton, R.M.G.M. Trines, T.J. Walton, H. Wen
TL;DR
This paper investigates large amplitude electrostatic waves in cold plasma within Born-Infeld electrodynamics, establishing bounds on wave amplitude, frequency, wavelength, and electric field strength, revealing the maximum electric field matches that of a stationary electron.
Contribution
It introduces a novel analysis of electrostatic waves in plasma under Born-Infeld electrodynamics, deriving bounds and maximum values for wave properties.
Findings
Maximum electric field equals that of a stationary electron.
Derived lower bound on wave wavelength.
Determined maximum amplitude and frequency of waves.
Abstract
The behaviour of large amplitude electrostatic waves in cold plasma is investigated in the context of Born-Infeld electrodynamics. The equations of motion for the plasma are established using an unconstrained action principle. The maximum amplitude and frequency of a large amplitude electrostatic wave are determined, and a lower bound on the wavelength is established. The maximum electric field is found to be the same as that on a point electron at rest.
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