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Current Dissipation in Thin Superconducting Wires: Accurate Numerical Evaluation Using the String Method

arXiv:cond-mat/0502656 · doi:10.1103/PhysRevB.72.014512

Abstract

Current dissipation in thin superconducting wires is numerically evaluated by using the string method, within the framework of time-dependent Ginzburg-Landau equation with a Langevin noise term. The most probable transition pathway between two neighboring current-carrying metastable states, continuously linking the Langer-Ambegaokar saddle-point state to a state in which the order parameter vanishes somewhere, is found numerically. We also give a numerically accurate algorithm to evaluate the prefactors for the rate of current-reducing transitions.

25 pages, 5 figures