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On the Existence of Hypersonic Electrostatic Solitons (Estimation of Limiting Mach Numbers of Ion-Sound Solitons in a Warm Plasma)

  • STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS
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Abstract

We develop a nonlinear theory of ion-sound waves in a collisionless warm electron–ion plasma. The theory is based on analysis of the Sagdeev pseudopotential. We consider two (isothermal and adiabatic) models of ion-sound waves. We calculate the dependences of the maximal Mach number for solitons on reduced temperature (nonequilibrium parameter) of the plasma in both models. It is shown that the maximal value of the Mach number cannot exceed the fundamental limit (2.54). We have answered the question concerning the existence of hypersonic ion-sound solitons: hypersonic solitons do not exist.

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Authors and Affiliations

  1. Russian Federal Nuclear Center “All-Russia Research Institute of Experimental Physics”, 607188, Sarov, Nizhny Novgorod oblast, Russia

    A. E. Dubinov

  2. Sarov Physical–Technical Institute, Branch of National Research Nuclear University “MEPhI”, 607186, Sarov, Nizhny Novgorod oblast, Russia

    A. E. Dubinov & O. V. Suslova

Authors
  1. A. E. Dubinov
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  2. O. V. Suslova
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Correspondence to A. E. Dubinov.

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Translated by N. Wadhwa

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Dubinov, A.E., Suslova, O.V. On the Existence of Hypersonic Electrostatic Solitons (Estimation of Limiting Mach Numbers of Ion-Sound Solitons in a Warm Plasma). J. Exp. Theor. Phys. 131, 844–852 (2020). https://doi.org/10.1134/S1063776120100040

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  • DOI: https://doi.org/10.1134/S1063776120100040

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