Quantum kinetic theory of the filamentation instability
Plasma Physics
2015-05-27 v2 Quantum Physics
Abstract
The quantum electromagnetic dielectric tensor for a multi species plasma is re-derived from the gauge invariant Wigner-Maxwell system and presented under a form very similar to the classical one. The resulting expression is then applied to a quantum kinetic theory of the electromagnetic filamentation instability. Comparison is made with the quantum fluid theory including a Bohm pressure term, and with the cold classical plasma result. A number of analytical expressions are derived for the cutoff wave vector, the largest growth rate and the most unstable wave vector.
Keywords
Cite
@article{arxiv.1103.4880,
title = {Quantum kinetic theory of the filamentation instability},
author = {A. Bret and F. Haas},
journal= {arXiv preprint arXiv:1103.4880},
year = {2015}
}