Filamentation instability in a quantum magnetized plasma
arXiv:0801.3950 · doi:10.1063/1.2844747
Abstract
The filamentation instability occurring when a non relativistic electron beam passes through a quantum magnetized plasma is investigated by means of a cold quantum magnetohydrodynamic model. It is proved that the instability can be completely suppressed by quantum effects if and only if a finite magnetic field is present. A dimensionless parameter is identified which measures the strength of quantum effects. Strong quantum effects allow for a much smaller magnetic field to suppress the instability than in the classical regime.
9 pages, 5 figures, to appear in Phys. Plasmas