Modified Zakharov equations for plasmas with a quantum correction

Details Modified Zakharov equations for plasmas with a quantum correction Modified Zakharov equations for plasmas with a quantum correction

2004-10-26

arxiv.org/abs/physics/0410251v1

Physics

Plasma Physics

4 figures. Accepted for publication in Physics of Plasmas (2004)

Scientific paper

10.1063/1.1819935

Quantum Zakharov equations are obtained to describe the nonlinear interaction between quantum Langmuir waves and quantum ion-acoustic waves. These quantum Zakharov equations are applied to two model cases, namely the four-wave interaction and the decay instability. In the case of the four-wave instability, sufficiently large quantum effects tend to suppress the instability. For the decay instability, the quantum Zakharov equations lead to results similar to those of the classical decay instability except for quantum correction terms in the dispersion relations. Some considerations regarding the nonlinear aspects of the quantum Zakharov equations are also offered.

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