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New longitudinal waves in electron-positron-ion quantum plasmas

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  • Plasma Physics
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Abstract

A general quantum dispersion equation for electron-positron(hole)-ion quantum plasmas is derived and studied for some interesting cases. In an electron-positron-ion degenerate Fermi gas, with or without the Madelung term, a new type of zero sound waves are found. Whereas in an electron-hole-ion plasmas a new longitudinal quantum waves are revealed, which have no analogies in quantum electron-ion plasmas. The excitation of these quantum waves by a low-density monoenergetic straight electron beam is examined. Furthermore, the Korteweg-de Vries (KdV) equation for novel quantum waves is derived and the contribution of the Madelung term in the formation of the KdV solitons is discussed.

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References

  1. P.K. Shukla, B. Eliasson, Phys. Usp. 53, 51 (2010), and references therein

    Article  ADS  Google Scholar 

  2. I.I. Goldman, Zh. Eksp. Teor. Fiz. 17, 681 (1947)

    Google Scholar 

  3. Yu.L. Klimontovich, V.P. Silin, Zh. Eksp. Teor. Fiz. 23, 151 (1952)

    Google Scholar 

  4. D. Bohm, Phys. Rev. 85, 166 (1952)

    Article  MathSciNet  ADS  Google Scholar 

  5. D. Bohm, D. Pines, Phys. Rev. 92, 609 (1953)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  6. D. Bohm, D. Pines, in Plasma Physics, edited by J.E. Drummond (McGraw-Hill, New York, 1961)

  7. N.L. Tsintsadze, L.N. Tsintsadze, Europhys. Lett. 88, 35001 (2009)

    Article  ADS  Google Scholar 

  8. N.L. Tsintsadze, L.N. Tsintsadze, in From Leonardo to ITER: Nonlinear and Coherence Aspects, AIP Proc. No. CP1177 edited by J. Weiland (AIP, New York, 2009) 18

  9. L.N. Tsintsadze, N.L. Tsintsadze, J. Plasma Phys. 76, 403 (2010)

    Article  ADS  Google Scholar 

  10. B. Eliasson, P.K. Shukla, J. Plasma Phys. 76, 7 (2010)

    Article  ADS  Google Scholar 

  11. F. Haas, L.G. Garcia, J. Goedert, Phys. Plasmas 10, 3858 (2003)

    Article  ADS  Google Scholar 

  12. L.N. Tsintsadze, AIP Conf. Proc. 1306, 89 (2010)

    Article  ADS  Google Scholar 

  13. L.N. Tsintsadze, e-print arXiv:physics/1005.3408v1

  14. S. Ali, P.K. Shukla, Phys. Plasmas 13, 022313 (2006)

    Article  ADS  Google Scholar 

  15. S. Ali, P.K. Shukla, Phys. Plasmas 13, 129902 (2006)

    Article  ADS  Google Scholar 

  16. S. Ali, W.M. Moslem, P.K. Shukla, R. Schickeiser, Phys. Plasmas 14, 082307 (2007)

    Article  ADS  Google Scholar 

  17. A. Mushtaq, S.A. Khan, Phys. Plasmas 14, 052307 (2007)

    Article  ADS  Google Scholar 

  18. P. Chatterjee et al., Phys. Plasmas 16, 122112 (2009)

    Article  ADS  Google Scholar 

  19. E.F. El-Shamy, R. Sabry, W.M. Moslem, P.K. Shukla, Phys. Plasmas 17, 082311 (2010)

    Article  ADS  Google Scholar 

  20. A.S. Bains, A.P. Misra, N.S. Saini, T.S. Gill, Phys. Plasmas 17, 012103 (2010)

    Article  ADS  Google Scholar 

  21. L.D. Landau, E.M. Lifshitz, Statistical Physics, 3rd edn., Part 1 (Butterworth-Heinemann, Oxford, 1998)

  22. D. Kremp, M. Schlanges, W.D. Kraeft, Quantum Statistics of Nonideal Plasmas (Springer-Verlag, Berlin Heidelberg, 2005)

  23. N.L. Tsintsadze, A. Rasheed, H.A. Shah, G. Murtaza, Phys. Plasmas 16, 112307 (2009)

    Article  ADS  Google Scholar 

  24. L.D. Landau, Zh. Eksp. Teor. Fiz. 30, 1058 (1956)

    Google Scholar 

  25. L.D. Landau, Zh. Eksp. Teor. Fiz. 35, 97 (1958)

    Google Scholar 

  26. A.F. Alexandrov, L.S. Bogdankevich, A.A. Rukhadze, Principals of Plasma Electrodynamics (Springer, Heidelberg, 1984)

  27. L.D. Landau, E.M. Lifshitz, Fluid Mechanics, 2nd edn. (Pergamon Press, Oxford, 1987)

  28. V.I. Karpman, Non-linear Waves in Dispersive Media (Pergamon Press, Oxford, 1974)

  29. R. Curant, K.O. Friedriches, Supersonic Flow and Shock Waves (Wiley, New York, 1957)

  30. Ya.B. Zeldovich, Yu.P. Raizer, Physics of Shock Waves and high-Temperature Hydrodynamic Phenomena (Academic Press, New York and London, 1966)

  31. L.N. Tsintsadze, Phys. Plasmas 2, 4462 (1995)

    Article  ADS  Google Scholar 

  32. L.N. Tsintsadze, K. Nishikawa, Phys. Plasmas 4, 841 (1997)

    Article  ADS  Google Scholar 

  33. L.N. Tsintsadze, P.K. Shukla, Sov. Plasma Phys. Rep. 19, 262 (1993)

    Google Scholar 

Download references

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Authors and Affiliations

  1. Department of Plasma Physics, E.Andronikashvili Institute of Physics, Tbilisi, Georgia

    N. L. Tsintsadze & L. N. Tsintsadze

  2. Salam Chair in Physics, GC University, Lahore, 54000, Pakistan

    A. Hussain & G. Murtaza

Authors
  1. N. L. Tsintsadze
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  2. L. N. Tsintsadze
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  3. A. Hussain
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  4. G. Murtaza
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Correspondence to L. N. Tsintsadze.

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Tsintsadze, N.L., Tsintsadze, L.N., Hussain, A. et al. New longitudinal waves in electron-positron-ion quantum plasmas. Eur. Phys. J. D 64, 447–452 (2011). https://doi.org/10.1140/epjd/e2011-20332-8

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  • DOI: https://doi.org/10.1140/epjd/e2011-20332-8

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