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Distribution of potential in a channel in the presence of the Hall effect and in an inhomogeneous magnetic field

L. P. Poberezhskii - A. O. Yakhot

Problems are investigated in which the current density (problem A) or the potential difference between the electrodes (problem B) are specified on ideally segmented electrodes. The Hall parameter is assumed to be constant. Problem A is solved by the method of Green's functions. In the case of given potential difference the current density at the electrodes is determined by the methods of the theory of functions of a complex variable, which reduces problem B to problem A.

Magnitnaya Gidrodinamika 10, No. 4, 57-64, 1974 [PDF] (in Russian)
Magnetohydrodynamics 10, No. 4, 428-434, 1974 [PDF, 0.32 Mb]

Copyright: Institute of Physics, University of Latvia
Electronic edition ISSN 1574-0579
Printed edition ISSN 0024-998X