Fractional Power-Law Spatial Dispersion in Electrodynamics
Classical Physics
2015-03-17 v1 Plasma Physics
Abstract
Electric fields in non-local media with power-law spatial dispersion are discussed. Equations involving a fractional Laplacian in the Riesz form that describe the electric fields in such non-local media are studied. The generalizations of Coulomb's law and Debye's screening for power-law non-local media are characterized. We consider simple models with anomalous behavior of plasma-like media with power-law spatial dispersions. The suggested fractional differential models for these plasma-like media are discussed to describe non-local properties of power-law type.
Cite
@article{arxiv.1503.04349,
title = {Fractional Power-Law Spatial Dispersion in Electrodynamics},
author = {Vasily E. Tarasov and Juan J. Trujillo},
journal= {arXiv preprint arXiv:1503.04349},
year = {2015}
}
Comments
32 pages, LaTeX, 14 figures