Magnetohydrodynamics of fractal media
- 1 May 2006
- journal article
- Published by AIP Publishing in Physics of Plasmas
- Vol. 13 (5)
- https://doi.org/10.1063/1.2197801
Abstract
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.Keywords
This publication has 41 references indexed in Scilit:
- Fractional dynamics of coupled oscillators with long-range interactionChaos: An Interdisciplinary Journal of Nonlinear Science, 2006
- Gravitational Field of Fractal Distribution of ParticlesCelestial Mechanics and Dynamical Astronomy, 2006
- Electromagnetic field of fractal distribution of charged particlesPhysics of Plasmas, 2005
- Fractional hydrodynamic equations for fractal mediaAnnals of Physics, 2005
- Fractal topology and strange kinetics: from percolation theory to problems in cosmic electrodynamicsPhysics-Uspekhi, 2004
- Anomalous diffusion and fractional stable distributionsJournal of Experimental and Theoretical Physics, 2003
- Integrals and derivatives on net fractalsChaos, Solitons, and Fractals, 2003
- Anomalous diffusion and exit time distribution of particle tracers in plasma turbulence modelPhysics of Plasmas, 2001
- Fractional integral and its physical interpretationTheoretical and Mathematical Physics, 1992
- Quantum field theory on fractal spacetime: a new regularisation methodJournal of Physics A: General Physics, 1987