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We study a mesoscopic metallic ring threaded by a magnetic flux which varieslinearly in time PhiM(t)=Phi t with a formalism based in Baym-Kadanoff-Keldyshnon-equilibrium Green functions. We propose a method to calculate the Greenfunctions in real space and we consider an experimental setup to investigatethe dynamics of the ring by recourse to a transport experiment. This consistsin a single lead connecting the ring to a particle reservoir. We show thatdifferent dynamical regimes are attained depending on the ratio hbar Phi/Phi0W, being Phi0=h c/e and W, the bandwidth of the ring. For moderate lengths ofthe ring, a stationary regime is achieved for hbar Phi/Phi0 >W. In the oppositecase with hbar Phi/Phi0 < W, the effect of Bloch oscillations driven by theinduced electric field manifests itself in the transport properties of thesystem. In particular, we show that in this time-dependent regime a tunnelingcurrent oscillating in time with a period tau=2piPhi0/Phi can be measured inthe lead. We also analyze the resistive effect introduced by inelasticscattering due to the coupling to the external reservoir.Comment: 17 pages, 13 figure

Current oscillations in a metallic ring threaded by a time-dependent magnetic flux