Magnetohydrodynamics of Fractal Media

Details Magnetohydrodynamics of Fractal Media Magnetohydrodynamics of Fractal Media

2007-11-02

arxiv.org/abs/0711.0305v1

Physics of Plasmas 13 (2006) 052107

Physics

Plasma Physics

28 pages, RevTeX

Scientific paper

The fractal distribution of charged particles is considered. An example of this distribution is the charged particles that are distributed over fractal. The fractional integrals are used to describe fractal distribution. These integrals are considered as approximations of integrals on fractals. Typical turbulent media could be of a fractal structure and the corresponding equations should be changed to include the fractal features of the media. The magnetohydrodynamics equations for fractal media are derived from the fractional generalization of integral Maxwell equations and integral hydrodynamics (balance) equations. Possible equilibrium states for these equations are considered.

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