Resistive transitions in regular superconducting wire networks

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Abstract
The resistive transition of a two dimensional infinite regular grid of superconducting wires is considered. Previous linearized Landau-Ginzburg theories of this transition are shown to be inadequate in determining the true phase boundary due to the effects of vortex fluctuations. The relation of the non linear model to a constant amplitude approximation is discussed and rich structure, identical to that previously predicted for Josephson junction arrays, is expected below the mean field transition temperature. Connection with recent experiments is made