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Ratchet phenomena in a spatially periodic harmonic potential | | Xavier Leoncini
; Anatoly Neishtadt
; Alexei Vasiliev
; | | Date: |
30 Jul 2008 | | Abstract: | 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. | | Source: | arXiv, 0807.4849 | | Services: | Forum | Review | PDF | Favorites | |
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