Current-Loop Model for the Intermediate State of Type-I Superconductors
Condensed Matter
2008-02-03 v1 Pattern Formation and Solitons
patt-sol
Abstract
A theory is developed of the intricately fingered patterns of flux domains observed in the intermediate state of thin type-I superconductors. The patterns are shown to arise from the competition between the long-range Biot-Savart interactions of the Meissner currents encircling each region and the superconducting-normal surface energy. The energy of a set of such domains is expressed as a nonlocal functional of the positions of their boundaries, and a simple gradient flow in configuration space yields branched flux domains qualitatively like those seen in experiment. Connections with pattern formation in amphiphilic monolayers and magnetic fluids are emphasized.
Keywords
Cite
@article{arxiv.cond-mat/9411007,
title = {Current-Loop Model for the Intermediate State of Type-I Superconductors},
author = {Raymond E. Goldstein and David P. Jackson and Alan T. Dorsey},
journal= {arXiv preprint arXiv:cond-mat/9411007},
year = {2008}
}
Comments
11 pages, 2 figs (available from authors), REVTex 3.0