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Numerical solution of nonlinear electron kinetic equation in self-similar variables

Published online by Cambridge University Press:  09 June 2011

I. F. POTAPENKO  and
S. I. KRASHENINNIKOV
I. F. POTAPENKO
Affiliation:
Keldysh Institute of Applied Mathematics, RAS, 125047 Moscow, Russian Federation ([email protected], [email protected])
S. I. KRASHENINNIKOV
Affiliation:
University of California at San Diego, La Jolla, San Diego, CA 92093, USA
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Abstract

We present numerical solution of a fully nonlinear electron kinetic equation in self-similar variables, which on the one hand has all features of a ‘standard’ hydrodynamics (ratios of the electron mean free path to the scale length γ ≡ λC/L 1), and on the other hand has no restriction on the smallness of the parameter γ. The self-similar variable approach reduces dimensionality of the space-dependent kinetic equation, thereby providing numerical analysis of the electron heat transport in the velocity space. The electron distribution structure and its super thermal power-law tail are examined.

PACS number(s): 52.25.Dg, 52.65.Ff, 52.50.-b

Type
Papers
Information
Journal of Plasma Physics , Volume 77 , Issue 6 , December 2011 , pp. 803 - 812
Copyright
Copyright © Cambridge University Press 2011

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