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We study the transport properties of setups with one and two mesoscopic ringsthreaded by ac magnetic fluxes of the form \Phi(t)=\Phi^{dc} + \Phi^{ac}cos(\Omega_0 t + \delta) and connected to two different particle reservoirs. Weanalyze the conditions to generate a pumped dc current in the adiabatic regime.We also study the symmetry properties of the induced dc current as a functionof the static component of the flux, \Phi^{dc}, with and without a dc biasvoltage applied at the reservoirs. We analyze, in particular, the validity ofthe Onsager-Casimir relations for different configurations of the setups.

Pumping charge with ac magnetic fluxes and the dynamical breakdown of Onsager symmetry