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Nonlinear theory of ionic sound waves in a hot quantum-degenerate electron-positron-ion plasma

  • Statistical, Nonlinear, and Soft Matter Physics
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Abstract

A collisionless nonmagnetized e-p-i plasma consisting of quantum-degenerate gases of ions, electrons, and positrons at nonzero temperatures is considered. The dispersion equation for isothermal ionic sound waves is derived and analyzed, and an exact expression is obtained for the linear velocity of ionic sound. Analysis of the dispersion equation has made it possible to determine the ranges of parameters in which nonlinear solutions in the form of solitons should be sought. A nonlinear theory of isothermal ionic sound waves is developed and used for obtaining and analyzing the exact solution to the system of initial equations. Analysis has been carried out by the method of the Bernoulli pseudopotential. The ranges of phase velocities of periodic ionic sound waves and soliton velocities are determined. It is shown that in the plasma under investigation, these ranges do not overlap and that the soliton velocity cannot be lower than the linear velocity of ionic sound. The profiles of physical quantities in a periodic wave and in a soliton are constructed, as well as the dependences of the velocity of sound and the critical velocity on the ionic concentration in the plasma. It is shown that these velocities increase with the ion concentration.

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Authors and Affiliations

  1. Sarov State Physicotechnical Institute, Sarov, Nizhni Novgorod oblast, 607186, Russia

    A. E. Dubinov & M. A. Sazonkin

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  1. A. E. Dubinov
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  2. M. A. Sazonkin
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Correspondence to A. E. Dubinov.

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Original Russian Text © A.E. Dubinov, M.A. Sazonkin, 2010, published in Zhurnal Éksperimental’noı i Teoreticheskoı Fiziki, 2010, Vol. 138, No. 5, pp. 979–990.

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Dubinov, A.E., Sazonkin, M.A. Nonlinear theory of ionic sound waves in a hot quantum-degenerate electron-positron-ion plasma. J. Exp. Theor. Phys. 111, 865–876 (2010). https://doi.org/10.1134/S1063776110110178

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  • DOI: https://doi.org/10.1134/S1063776110110178

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