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

Tiezheng Qian·Weiqing Ren·Ping Sheng
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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.

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Tiezheng Qian, Weiqing Ren, Ping Sheng. 2005-02-28. Current Dissipation in Thin Superconducting Wires: Accurate Numerical Evaluation Using the String Method. https://doi.org/10.1103/physrevb.72.014512

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