Relativistic degenerate effects of electrons and positrons on modulational instability of quantum ion acoustic waves in dense plasmas with two polarity ions

doi:10.1088/1674-1056/24/2/025202

Abstract The nonlinear propagation of quantum ion acoustic wave (QIAW) is investigated in a four-component plasma composed of warm classical positive ions and negative ions, as well as inertialess relativistically degenerate electrons and positrons. A nonlinear Schrödinger equation is derived by using the reductive perturbation method, which governs the dynamics of QIAW packets. The modulation instability analysis of QIAWs is considered based on the typical parameters of the white dwarf. The results exhibit that both in the weakly relativistic limit and in the ultrarelativistic limit, the modulational instability regions are sensitively dependent on the ratios of temperature and number density of negative ions to those of positive ions respectively, and on the relativistically degenerate effect as well.

Keywords: quantum ion acoustic waves modulational instability relativistic degenerate

Received: 23 May 2014
Revised: 14 August 2014
Accepted manuscript online:

PACS:	52.35.Mw	(Nonlinear phenomena: waves, wave propagation, and other interactions (including parametric effects, mode coupling, ponderomotive effects, etc.))
	52.38.Hb	(Self-focussing, channeling, and filamentation in plasmas)
	52.40.Db	(Electromagnetic (nonlaser) radiation interactions with plasma)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11104012) and the Fundamental Research Funds for the Central Universities (Grant Nos. FRF-TP-09-019A and FRF-BR-11-031B).

Corresponding Authors: Wang Yun-Liang
E-mail: ylwang@ustb.edu.cn

Cite this article:

Liu Tie-Lu (刘铁路), Wang Yun-Liang (王云良), Lu Yan-Zhen (路彦珍) Relativistic degenerate effects of electrons and positrons on modulational instability of quantum ion acoustic waves in dense plasmas with two polarity ions 2015 Chin. Phys. B 24 025202

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Relativistic degenerate effects of electrons and positrons on modulational instability of quantum ion acoustic waves in dense plasmas with two polarity ions

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