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Directed transport in a classical lattice with a high-frequency driving | | A.P. Itin
; A.I. Neishtadt
; | | Date: |
25 Feb 2012 | | Abstract: | We analyze the dynamics of a classical particle in a spatially periodic
potential under the influence of a periodic in time uniform force. It was shown
in [S.Flach, O.Yevtushenko, Y. Zolotaryuk, Phys. Rev. Lett. 84, 2358 (2000)]
that despite zero average force, directed transport is possible in the system.
Asymptotic description of this phenomenon for the case of slow driving was
developed in [X. Leoncini, A. Neishtadt, A. Vasiliev, Phys. Rev. E 79, 026213
(2009)]. Here we consider the case of fast driving using canonical perturbation
theory. An asymptotic formula is derived for the average drift velocity as a
function of the system parameters and the driving law. We show that directed
transport arises in an effective Hamiltonian that does not possess chaotic
dynamics, thereby clarifying the relation between chaos and transport in the
system. Sufficient conditions for transport are derived. | | Source: | arXiv, 1202.5616 | | Services: | Forum | Review | PDF | Favorites | |
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