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25 September 2021
 
  » arxiv » 0807.4849

 Article overview


Ratchet phenomena in a spatially periodic harmonic potential
Xavier Leoncini ; Anatoly Neishtadt ; Alexei Vasiliev ;
Date 30 Jul 2008
AbstractTransport 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
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