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


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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.

Sobre autores

S. Rekhviashvili

Institute of Applied Mathematics and Automation

Autor responsável pela correspondência
Email: rsergo@mail.ru
Rússia, ul. Shortanova 89-A, NalchikKabardino-Balkar Republic, 360000

Murat Mamchuev

Institute of Applied Mathematics and Automation

Email: rsergo@mail.ru
Rússia, ul. Shortanova 89-A, NalchikKabardino-Balkar Republic, 360000

Mukhtar Mamchuev

Institute of Applied Mathematics and Automation

Email: rsergo@mail.ru
Rússia, ul. Shortanova 89-A, NalchikKabardino-Balkar Republic, 360000

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