Parametric instabilities in quantum plasmas with electron exchange-correlation effects

doi:10.1088/1674-1056/22/2/025202

Abstract Parametric instabilities induced by the nonlinear interaction between high frequency quantum Langmuir waves and low frequency quantum ion-acoustic waves in quantum plasmas with the electron exchange-correlation effects are presented. By using the quantum hydrodynamic equations with the electron exchange-correlation correction, we obtain an effective quantum Zaharov model, which is then used to derive the modified dispersion relations and the growth rates of the decay and four-wave instabilities. The influences of the electron exchange-correlation effects and the quantum effects on the existence of quantum Langmuir waves and the parametric instabilities are discussed in detail. It is shown that the electron exchange-correlation effects and quantum effects are coupled strongly. The quantum Langmuir wave can propagate in quantum plasmas only when the electron exchange-correlation effects and the quantum effects satisfy a certain condition. The electron exchange-correlation effects tend to enhance the parametric instabilities, while quantum effects suppress the instabilities.

Keywords: parametric instabilities quantum Langmuir waves electron exchange-correlation

Received: 30 March 2012
Revised: 03 August 2012
Accepted manuscript online:

PACS:	52.35.Mw	(Nonlinear phenomena: waves, wave propagation, and other interactions (including parametric effects, mode coupling, ponderomotive effects, etc.))
	52.35.-g	(Waves, oscillations, and instabilities in plasmas and intense beams)
	52.35.Fp	(Electrostatic waves and oscillations (e.g., ion-acoustic waves))

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 10975114) and the Foundation for Creation of Science and Technology of Northwest Normal University of China (Grant No. NWNU-KJCXGC-03-48).

Corresponding Authors: Xue Ju-Kui
E-mail: xuejk@nwnu.edu.cn

Cite this article:

He Cai-Xia (何彩霞), Xue Ju-Kui (薛具奎) Parametric instabilities in quantum plasmas with electron exchange-correlation effects 2013 Chin. Phys. B 22 025202

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