Abstract

GUIA, M.; ROSALES, J.J.; MARTINEZ, L.  and  ALVAREZ, J.A.. Fractional drude model of electrons in a metal. Rev. mex. fis. [online]. 2016, vol.62, n.2, pp.155-159. ISSN 0035-001X.

In the present work we analyse the behaviour of electrons in a metal placed into uniform electric field, E, from its fractional differential equation. We show that the velocity and the current density of the electrons not only depend on the time t, but also on the order of the fractional differential equation γ, the Drude model is a particular case. This fact could have interesting consequences in the study of electrical properties of metals.

Keywords : Fractional derivative; drude model; Mittag-Leffler function.

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