“…In addition to the above-described system, vortex ratchets have been experimentally realized in films with asymmetric arrangements of ''antidots'' [161,162], square arrays of Cu nanotriangles [163], Josephson junctions arrays [164], superconducting constrictions (induced by surface-barrier effects) [165], asymmetric pinning produced with ion irradiation [166], magnetized strips [167] or spacing-graded arrays of pinning centers [168], in asymmetric-shaped mesoscopic superconductors [169], and in films with arrays of magnetic dipoles [170,171]. The phenomenology observed in these systems is very rich.…”