On the theory of Kirchhoff's method for the determination of electrical conductivity

Harold Levine

Physica A: Statistical Mechanics and its Applications, 1979, vol. 96, issue 1, 60-69

Abstract: A measure of unification is achieved for the purpose of analyzing the steady current flows through elongated cylinders of general section which are activated by a pair of small electrodes on the end faces and are relevant to a scheme of Kirchhoff for determining the electrical conductivity of homogeneous materials; and this features, in a central role, the harmonic Green's function which satisfies a Neumann condition on the boundary of an infinitely long duct whose section duplicates that of the appropriate cylinder. The utility of a Green's function formalism is brought out with specific numerical details in the respective cases of circular and square cross-sections.

Date: 1979
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:96:y:1979:i:1:p:60-69

DOI: 10.1016/0378-4371(79)90194-8

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