| Issue |
EPL
Volume 135, Number 3, August 2021
|
|
|---|---|---|
| Article Number | 35001 | |
| Number of page(s) | 4 | |
| Section | Physics of Gases, Plasmas and Electric Discharges | |
| DOI | https://doi.org/10.1209/0295-5075/ac1e44 | |
| Published online | 18 October 2021 | |
Quantum electrodynamic effects on the two-stream instability
ETSI Industriales, Universidad de Castilla-La Mancha - 13071 Ciudad Real, Spain and Instituto de Investigaciones Energéticas y Aplicaciones Industriales, Campus Universitario de Ciudad Real 13071 Ciudad Real, Spain
(a) antoineclaude.bret@uclm.es (corresponding author)
Received: 5 July 2021
Accepted: 17 August 2021
We consider the quantum electrodynamic corrections to the two-stream instability. We find these corrections vanish at first order unless a guiding magnetic field 
is considered. With respect to the classical version of the instability, quantum electrodynamic effects reduce the most unstable wave vector and its growth rate by a factor 
, with 
, where α is the fine-structure constant and Bcr the Schwinger critical magnetic field. Although derived for a cold system, these results are valid for the kinetic case. The results are valid in the range 
and, actually, up to linear corrections in ξ.
© 2021 EPLA
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