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We study the different dynamical regimes of a vortex lattice driven by ACforces in the presence of random pinning via numerical simulations. Thebehaviour of the different observables is charaterized as a function of theapplied force amplitude for different frequencies. We discuss theinconveniences of using the mean velocity to identify the depinnig transitionand we show that instead, the mean quadratic displacement of the lattice is therelevant magnitude to characterize different AC regimes. We discuss how theresults depend on the initial configuration and we identify new hystereticeffects which are absent in the DC driven systems.

Depinning and dynamics of AC driven vortex lattices in random media