Abstract

The investigations are devoted to the formulation of the physical and mathematical problem for describing the charge transport phenomenon and the development of an algorithm for determining the charge and energy fluxes in crystalline metals under the action of thermal and mechanical disturbances on them. The paper presents the physical and mathematical model to calculate a changes in the electrical resistance of the metal while heating and plastic deformation. The paper describes an algorithm for calculating changes in the electrical resistance of the metal. The basic mechanisms of conduction electrons scattering participating in the charge transfer process considering that valence electrons are distributed according to the Fermi-Dirac function and obey the Pauli principle are reviewed in the paper. The mathematical model is based on the Boltzmann kinetic equation in the approximation. The relaxation times are calculated theoretically for the scattering mechanisms. On the basis of calculations, theoretical formulas are obtained for calculating the resistivity of a normal metal as a function of its temperature, the number of dislocations and vacancies.

Keywords

Mathematical model, physical model, thermodynamic system, electrical resistance, dislocations, vacancies.