This article is cited in 1 paper

Computational Mathematics

Asimptotics of magnetoresistance

A. A. Ershov^a, J. A. Krutova<sup>b

a</sup> Institute of Mathematics and Mechanics, Ural branch of RAS, Ekaterinburg, Russian Federation
^b Chelyabinsk State University, Chelyabinsk, Russian Federation

Abstract: An asymptotic formula expressing the electric the resistance of the isotropic crystal semiconductor in a magnetic field and connected through small contacts was found. For modeling of the electric potential the solution of boundary value problems for elliptic equations with oblique derivative on the boundary was used.

Keywords: magnetoresistance, electric potential, electrical resistance, magnetic field, asymptotic expansion, Laplace equation, oblique derivative, boundary value problem.

UDC: 51-73

Received: 04.07.2015

DOI: 10.14529/cmse160101

Bibliographic databases:

•