Fractional power-law spatial dispersion in electrodynamics |
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Authors: | Vasily E Tarasov Juan J Trujillo |
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Institution: | 1. Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, Moscow 119991, Russia;2. Departamento de Análisis Matemático, Universidad de La Laguna, 38271 La Laguna, Tenerife, Spain |
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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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Keywords: | Spatial dispersion Electrodynamics Fractional spacial model Fractional Laplacian Riesz potential |
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