| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1895982 | Chaos, Solitons & Fractals | 2011 | 7 Pages |
Abstract
An electric field in a composite dielectric with a fractal charge distribution is obtained in the spherical symmetry case. The method is based on the splitting of a composite volume into a fractal volume Vd ∼ rd with the fractal dimension d and a complementary host volume Vh = V3 − Vd. Integrations over these fractal volumes correspond to the convolution integrals that eventually lead to the employment of the fractional integro-differentiation.
► The electric field in a composite dielectric with a fractal charge distribution is observed. ► The observation is based on a relation between fractal geometry and fractional calculus. ► The mathematical construction is relevant to studying electrostatics in real composites.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
Emmanuel Baskin, Alexander Iomin,