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Pré-Publication, Document De Travail Année : 2008

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 in the chaotic domain on very long time intervals and obtain a formula for the average velocity of this transport.
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Dates et versions

hal-00308455 , version 1 (30-07-2008)
hal-00308455 , version 2 (18-09-2008)
hal-00308455 , version 3 (20-02-2009)

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Xavier Leoncini, Anatoly Neishtadt, Alexei Vasiliev. Ratchet phenomena in a spatially periodic harmonic potential. 2008. ⟨hal-00308455v2⟩
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