Electromagnetic field of fractal distribution of charged particles
arXiv:physics/0610010 · doi:10.1063/1.1994787
Abstract
Electric and magnetic fields of fractal distribution of charged particles are considered. The fractional integrals are used to describe fractal distribution. The fractional integrals are considered as approximations of integrals on fractals. Using the fractional generalization of integral Maxwell equation, the simple examples of the fields of homogeneous fractal distribution are considered. The electric dipole and quadrupole moments for fractal distribution are derived.
RevTex, 21 pages, 2 pictures
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Cited by in corpus (24)
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- Anisotropic Fractal Media by Vector Calculus in Non-Integer Dimensional Space
- Dynamics with Low-Level Fractionality
- Fractional Variations for Dynamical Systems: Hamilton and Lagrange Approaches
- Map of Discrete System into Continuous
- Subdiffusion on a Fractal Comb
- Fractional Derivative as Fractional Power of Derivative
- Fractional Statistical Mechanics
- Nonholonomic Constraints with Fractional Derivatives
- Magnetohydrodynamics of Fractal Media
- Psi-Series Solution of Fractional Ginzburg-Landau Equation
- Universal Electromagnetic Waves in Dielectric
- Transport Equations from Liouville Equations for Fractional Systems
- Dynamics of Fractal Solids
- Electrostatics in Fractal Geometry: Fractional Calculus Approach
- Varying electric charge in multiscale spacetimes
- Generalized diffusion equation with fractional derivatives within Renyi statistics
- Electro-chemical manifestation of nanoplasmonics in fractal media
- Geometrical enhancement of the electric field: Application of fractional calculus in nanoplasmonics