Ratchet phenomena in a spatially periodic harmonic potential
Résumé
Transport of a particle in a spatially periodic harmonic potential under the influence of a slowly time-dependent unbiased periodic external force is studied. The equations of motion are the same as in the problem of a slowly forced nonlinear pendulum. Using methods of the adiabatic perturbation theory we show that for a periodic external force of general kind the system demonstrates directed (ratchet) transport and obtain a formula for the average velocity of this transport.
Domaines
Dynamique Chaotique [nlin.CD]
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