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arXiv · 1307.4930

Power-law Spatial Dispersion from Fractional Liouville Equation

Vasily E. Tarasov
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Abstract

A microscopic model in the framework of fractional kinetics to describe spatial dispersion of power-law type is suggested. The Liouville equation with the Caputo fractional derivatives is used to obtain the power-law dependence of the absolute permittivity on the wave vector. The fractional differential equations for electrostatic potential in the media with power-law spatial dispersion are derived. The particular solutions of these equations for the electric potential of point charge in this media are considered.

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Vasily E. Tarasov. 2013-07-18. Power-law Spatial Dispersion from Fractional Liouville Equation. https://doi.org/10.1063/1.4825144

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