Electromagnetic field of fractal distribution of charged particles
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.
- Publication:
-
Physics of Plasmas
- Pub Date:
- August 2005
- DOI:
- 10.1063/1.1994787
- arXiv:
- arXiv:physics/0610010
- Bibcode:
- 2005PhPl...12h2106T
- Keywords:
-
- 41.20.-q;
- 05.45.Df;
- 03.50.De;
- Applied classical electromagnetism;
- Fractals;
- Classical electromagnetism Maxwell equations;
- Physics - Plasma Physics;
- Astrophysics;
- Condensed Matter - Materials Science;
- Physics - Classical Physics
- E-Print:
- RevTex, 21 pages, 2 pictures