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
 EPrint:
 RevTex, 21 pages, 2 pictures