arXiv Open Access 2013

Power-law Spatial Dispersion from Fractional Liouville Equation

Vasily E. Tarasov
Lihat Sumber

Abstrak

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.

Penulis (1)

V

Vasily E. Tarasov

Format Sitasi

Tarasov, V.E. (2013). Power-law Spatial Dispersion from Fractional Liouville Equation. https://arxiv.org/abs/1307.4930

Akses Cepat

Lihat di Sumber
Informasi Jurnal
Tahun Terbit
2013
Bahasa
en
Sumber Database
arXiv
Akses
Open Access ✓