Large sample-to-sample fluctuations of the nonequilibrium critical current through mesoscopic Josephson junctions

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We present a theory for the nonequilibrium current in a mesoscopic Josephson junction which is coupled to a normal electron reservoir, and apply it to a chaotic junction. Large sample-to-sample fluctuations of the critical current I c are found, with rms I c ≃ √NeΔ/ℏ, when the voltage difference eV between the electron reservoir and the junction exceeds the superconducting gap Δ and the number of modes N connecting the junction to the superconducting electrodes is large.