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Current dissipation in thin superconducting wires is numerically evaluated byusing the string method, within the framework of time-dependent Ginzburg-Landauequation with a Langevin noise term. The most probable transition pathwaybetween two neighboring current-carrying metastable states, continuouslylinking the Langer-Ambegaokar saddle-point state to a state in which the orderparameter vanishes somewhere, is found numerically. We also give a numericallyaccurate algorithm to evaluate the prefactors for the rate of current-reducingtransitions.Comment: 25 pages, 5 figure

Current dissipation in thin superconducting wires: A numerical evaluation using the string method