2009PRE_ratchet_paper.pdf (10.72 MB)
Directed transport in a spatially periodic harmonic potential under periodic nonbiased forcing
journal contribution
posted on 2014-08-14, 12:36 authored by Xavier Leoncini, Anatoly NeishtadtAnatoly Neishtadt, Alexei VasilievTransport of a particle in a spatially periodic harmonic potential under the influence of a slowly timedependent
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 a 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. Two cases
are studied: The case of the external force of small amplitude, and the case of the external force with amplitude
of order one. The obtained formulas can also be used in case of a nonharmonic periodic potential.
Funding
The work was partially supported by the RFBR Grants No. 06-01-00117 and No. NSh 691.2008.1.
History
School
- Science
Department
- Mathematical Sciences
Published in
PHYSICAL REVIEW EVolume
79Issue
2Pages
? - ? (6)Citation
LEONCINI, X., NEISHTADT, A. and VASILIEV, A., 2009. Directed transport in a spatially periodic harmonic potential under periodic nonbiased forcing. Physical Review E, 79, 026213, 6pp.Publisher
© American Physical SocietyVersion
- VoR (Version of Record)
Publication date
2009ISSN
1539-3755Publisher version
Language
- en