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arXiv · 1103.4880

Quantum kinetic theory of the filamentation instability

A. Bret·F. Haas
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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.

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A. Bret, F. Haas. 2011-05-10. Quantum kinetic theory of the filamentation instability. https://doi.org/10.1063/1.3605470

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