Abstract
The critical current of a percolating superconductor is analyzed in the vicinity of the superconducting transition temperature and near the percolation threshold. The analysis is based on the Landau-Ginzburg formulation and on the self-similar fractal structure of the infinite cluster on a length scale smaller than the connectivity length ${\ensuremath{\xi}}_{p}$. The penetration depth of the percolating cluster is explicitly taken into consideration. The results are compared with previous theories and with experimental results. The dc paraconductivity above ${T}_{c}$ is discussed.
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