Application of Percolation Theory to Current Transfer in Granular Superconductors

Details Application of Percolation Theory to Current Transfer in Granular Superconductors Application of Percolation Theory to Current Transfer in Granular Superconductors

2002-04-03

arxiv.org/abs/cond-mat/0204082v2

European Physical Journal B 29, 359-367 (2002)

Physics

Condensed Matter

Superconductivity

submitted to European Physical Journal B, April 2002, 18 pages revised and re-submitted June 2002; added remarks and reference

Scientific paper

10.1140/epjb/e2002-00275-9

We investigate the description of current transfer in polycrystalline superconductors by percolation theory and its limitations. Various computer models that have been proposed are reviewed and related to the experimental and theoretical framework. While some conductor properties can be well described by percolation theory and models, we argue that a conceptual gap exists between experiment and theory. This gap has to be bridged by finding relations between electromagnetic and statistical parameters. We derive various such relations and compare them with recent simulation data. In particular, we suggest a new scaling law between the two fundamental variables current and probability.

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