Hostname: page-component-cd9895bd7-q99xh Total loading time: 0 Render date: 2024-12-26T05:04:38.510Z Has data issue: false hasContentIssue false

Excitation of longitudinal waves in a degenerate isotropic quantum plasma

Published online by Cambridge University Press:  15 January 2010

LEVAN N. TSINTSADZE
Affiliation:
Graduate School of Science, Department of Physical Science, Hiroshima University, Higashi-Hiroshima, Japan Department of Plasma Physics, E.Andronikashvili Institute of Physics, Tbilisi, Georgia (nltsin@yahoo.com)
NODAR L. TSINTSADZE
Affiliation:
Department of Plasma Physics, E.Andronikashvili Institute of Physics, Tbilisi, Georgia (nltsin@yahoo.com)

Abstract

A dispersion equation, which describes the interaction of low-density electron beam with a degenerate electron quantum plasma, is derived and examined for some interesting cases. In addition to the instabilities similar to those for classical plasma, due to the quantum effect, a new type of instability is found. Growth rates of these new modes, which are purely quantum, are obtained. Furthermore, the excitation of Bogolyubov's type of spectrum by a strong electric field is discussed.

Type
Papers
Copyright
Copyright © Cambridge University Press 2010

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1]Klimontovich, Y. L. and Silin, V. P. 1952 Zh. Eksp. Teor. Fiz. 23, 151.Google Scholar
[2]Manfredi, G. and Haas, F. 2001 Phys. Rev. B 64, 075316.CrossRefGoogle Scholar
[3]Marklund, M. and Brodin, G. 2007 Phys. Rev. Lett. 98, 025001.CrossRefGoogle Scholar
[4]Tsintsadze, N. L. and Tsintsadze, L. N. 2009 Europhys. Lett. 88, 35001; In: From Leonardo to ITER: Nonlinear and Coherence Aspects, Vol. 18 (ed. J. Weiland). New York: AIP. AIP Proc. No. CP1177; e-print arXiv: physics/0903.5368v1.CrossRefGoogle Scholar
[5]Eliasson, B. and Shukla, P. K. 2010 J. Plasma Phys. 76, 1.Google Scholar
[6]Tsintsadze, L. N. 2009 Submitted to Phys. Rev. Lett.; e-print arXiv: physics/0911.0133v1.Google Scholar
[7]Zheng, J. 2009 Phys. Plasmas 16, 054703.CrossRefGoogle Scholar
[8]Zhu, J., Ji, P. and Lu, N. 2009 Phys. Plasmas 16, 032105.CrossRefGoogle Scholar
[9]Lifshitz, E. M. and Pitaevskii, L. P. 1981 Physical Kinetics. Oxford: Pergamon, p. 161.Google Scholar
[10]Alexandrov, A. F., Bogdankevich, L. S. and Rukhadze, A. A. 1984 Principals of Plasma Electrodynamics. Heidelberg, Germany: Springer.CrossRefGoogle Scholar
[11]Kuzelev, M. V. and Rukhadze, A. A. 2009 Private communication. Bogolyubov Kiev Conference on Modern Problems of Theoretical and Mathematical Physics. Kiev.Google Scholar