Acceleration of the Chaotic and Noise-Induced Transport in Adiabatically Driven Spatially Periodic Systems

We show that, in an ac-driven spatially periodic Hamiltonian system, the width of the chaotic layer associated with a separatrix diverges in the adiabatic limit. A similar behaviour is observed for the layer of transient chaos in the presence of a weak dissipation. If noise is added, this mechanism may have as a conseguence that the noise-induced transport is greatly accelerated by the adiabatic AC-drive.