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arXiv · 1503.04349

Fractional Power-Law Spatial Dispersion in Electrodynamics

Vasily E. Tarasov·Juan J. Trujillo
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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.

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BibTeXRIS

Vasily E. Tarasov, Juan J. Trujillo. 2015-03-14. Fractional Power-Law Spatial Dispersion in Electrodynamics. https://doi.org/10.1016/j.aop.2013.03.014

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