We study magnetic fluxes and currents in a set of mesoscopic rings
which form a cylinder. We investigate the noiseless system as well as the
influence of equilibrium and non-equilibrium fluctuations on the properties
of selfsustaining currents. Thermal equilibrium Nyquist noise does not
destroy selfsustaining currents up to temperatures of the same order as
the critical temperature for selfsustaining currents. For temperatures below
the critical temperature, randomness in the distribution of parity of
the coherent electrons can lead to disappearing of selfsustaining currents
and inducing new metastable states. For temperatures above the critical
temperature, it causes a creation of new metastable states with non-zero
currents[…
