Quantum kinetic theory of the filamentation instability

Bret, A.; Haas, F.
July 2011
Physics of Plasmas;Jul2011, Vol. 18 Issue 7, p072108
Academic Journal
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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