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

›› 2015, Vol. 24 ›› Issue (2): 25202-025202.doi: 10.1088/1674-1056/24/2/025202

• PHYSICS OF GASES, PLASMAS, AND ELECTRIC DISCHARGES • 上一篇下一篇

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

刘铁路, 王云良, 路彦珍

Department of Physics, School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China

收稿日期:2014-05-23 修回日期:2014-08-14 出版日期:2015-02-05 发布日期:2015-02-05
基金资助:
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).

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

Liu Tie-Lu (刘铁路), Wang Yun-Liang (王云良), Lu Yan-Zhen (路彦珍)

Department of Physics, School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China

Received:2014-05-23 Revised:2014-08-14 Online:2015-02-05 Published:2015-02-05
Contact: Wang Yun-Liang E-mail:ylwang@ustb.edu.cn
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: quantum ion acoustic waves, modulational instability, relativistic degenerate

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.

Key words: quantum ion acoustic waves, modulational instability, relativistic degenerate

中图分类号: (Nonlinear phenomena: waves, wave propagation, and other interactions (including parametric effects, mode coupling, ponderomotive effects, etc.))

52.35.Mw

52.38.Hb (Self-focussing, channeling, and filamentation in plasmas) 52.40.Db (Electromagnetic (nonlaser) radiation interactions with plasma)

刘铁路, 王云良, 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[J]. , 2015, 24(2): 25202-025202.

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[J]. Chin. Phys. B, 2015, 24(2): 25202-025202.

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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

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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