najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМО10.17586/2220-8054-2017-8-2-247-259najo-670Research ArticlePHYSICSФИЗИКАKolmogorov equation for Bloch electrons and electrical resistivity models for nanowiresLebleS. B.

ul. Aleksandra Nevskogo, 14, Kaliningrad, 236016

leble@mif.pg.gda.plImmanuel Kant Baltic Federal UniversityRussian Federation20171208202582247259Copyright © Leble S.B., 20252025Leble S.B.Leble S.B.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://nanojournal.ifmo.ru/jour/article/view/670

The problem of a nanowires conductivity is studied from a kinetic point of view for quasiclassical Bloch electrons in an electric field. Few statements of problems with cylindrical symmetry for the integro-differential Kolmogorov equation are formulated: the dynamic Cauchy problem and two stationary boundary regime ones. The first is for an empty cylinder with scattering of the conduction electrons on walls, the second takes into account scattering on defects inside the wire. The integro-differential equations are transformed to integral ones and solved iteratively. There are two types of expansions with the leading terms in the right and left sides. The iteration series is constructed and its convergence studied.

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The authors declare that there are no conflicts of interest present.