  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.
