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Plasmastatic problems in two-fluid magnetohydrodynamics with allowance for the electron inertia

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A new approach to the investigation of equilibrium (steady-state) plasma configurations based on the subsequent use of the two-fluid hydrodynamic description of electron-ion plasma with allowance for the electron inertia is given. Plasmastatic equations which are a generalization of the well-known Grad-Shafranov equation are derived. Examples of numerical and analytic solutions of these equations with reference to a magnetic trap of the theta-pinch type are given. It is shown that the main properties of the equilibrium configurations are independent of a small parameter, namely, the ratio of the electron and ion masses, and determined by the inertial length c/ω p (ω p is the plasma frequency).

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Authors
  1. M. B. Gavrikov
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  2. V. V. Savel’ev
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Original Russian Text © M.B. Gavrikov, V.V. Savel’ev, 2010, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2010, Vol. 45, No. 2, pp. 176–192.

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Gavrikov, M.B., Savel’ev, V.V. Plasmastatic problems in two-fluid magnetohydrodynamics with allowance for the electron inertia. Fluid Dyn 45, 325–341 (2010). https://doi.org/10.1134/S0015462810020171

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  • DOI: https://doi.org/10.1134/S0015462810020171

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