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JOURNALS // Fizika Tverdogo Tela // Archive

Fizika Tverdogo Tela, 2016 Volume 58, Issue 4, Pages 763–766 (Mi ftt10024)

This article is cited in 9 papers

Low dimensional systems

Model of diffusion-drift charge carrier transport in layers with a fractal structure

S.Sh. Rekhviashvili, Murat O. Mamchuev, Mukhtar O. Mamchuev

Institute of Applied Mathematics and Automation, Nalchik

Abstract: A new theoretical (semiempirical) model of diffusion-drift charge carrier transport in layers with a fractal structure based on a partial differential equation with a fractional time derivative has been proposed. It has been shown by numerical calculations that a decrease in the order of the fractional derivative in the presence of the external electric field leads to broadening and asymmetry of the spatial distributions of charge carriers, which physically corresponds to intensification of scattering processes.

Keywords: Charge Carrier, Fractional Derivative, Epitaxial Layer.

Received: 16.06.2015
Revised: 23.09.2015


 English version:
Physics of the Solid State, 2016, 58:4, 788–791

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© Steklov Math. Inst. of RAS, 2024