Magnetohydrodynamics of Fractal Media
arXiv:0711.0305 · doi: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.
28 pages, RevTeX
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Cited by in corpus (15)
- Fractional Vector Calculus and Fractional Maxwell's Equations
- Quantum field theory, gravity and cosmology in a fractal universe
- Continuous Limit of Discrete Systems with Long-Range Interaction
- Vector Calculus in Non-Integer Dimensional Space and its Applications to Fractal Media
- Anisotropic Fractal Media by Vector Calculus in Non-Integer Dimensional Space
- Fractional Variations for Dynamical Systems: Hamilton and Lagrange Approaches
- Map of Discrete System into Continuous
- Fractional Dynamics from Einstein Gravity, General Solutions, and Black Holes
- Fractional Derivative as Fractional Power of Derivative
- Fractional Statistical Mechanics
- Nonholonomic Constraints with Fractional Derivatives
- Universal Electromagnetic Waves in Dielectric
- Psi-Series Solution of Fractional Ginzburg-Landau Equation
- Varying electric charge in multiscale spacetimes
- Generalized diffusion equation with fractional derivatives within Renyi statistics