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Spherical and Cylindrical Ion Acoustic Shock Structures in Plasmas with q-Nonextensive Electron Velocity Distribution

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Abstract

The propagation of ion acoustic shock waves in cylindrical and spherical geometries has been investigated. The plasma system consists of cold ions, nonextensive electrons and thermal positrons. Spherical and cylindrical Korteweg–de Vries–Burger equations have been derived by reductive perturbation method and their shock behavior is studied by employing finite difference method. It is found that shock waves can be produced in this medium. The important effects of the q-nonextensive electron on the properties of ion acoustic waves are discussed. Furthermore, it is observed that the positron concentration, ratio of electron to positron temperature, geometry parameter and the plasma kinematic viscosity significantly modifies the shock structure.

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Authors and Affiliations

  1. Department of Physics, Ferdowsi University of Mashhad, Mashhad, Iran

    Parvin Eslami

  2. Department of Physics, Bojnourd Branch, Islamic Azad University, Bojnourd, Iran

    Hamid Reza Pakzad

  3. Department of Physics, Mashhad Branch, Islamic Azad University, Mashhad, Iran

    Marzieh Mottaghizadeh

Authors
  1. Parvin Eslami
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  2. Hamid Reza Pakzad
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  3. Marzieh Mottaghizadeh
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Correspondence to Hamid Reza Pakzad.

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Eslami, P., Pakzad, H.R. & Mottaghizadeh, M. Spherical and Cylindrical Ion Acoustic Shock Structures in Plasmas with q-Nonextensive Electron Velocity Distribution. J Fusion Energ 31, 617–625 (2012). https://doi.org/10.1007/s10894-012-9515-7

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  • DOI: https://doi.org/10.1007/s10894-012-9515-7

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