Voltage fluctuations on a superconductor grain attached to a quantum wire

When a finite superconductor is in contact with a 1D normal conductor, superconducting phase fluctuations lead to power-law response of the normal subsystem. As a result, the charge fluctuations on the superconductor at zero temperature have logarithmic correlator and a 1/\omega power spectrum (1/f-noise). At higher temperatures 1/\omega is pushed to the high frequency region, and 1/\omega^2 behavior prevails.