PMID: 15244891Jul 13, 2004Paper

Nonlinear dynamics, rectification, and phase locking for particles on symmetrical two-dimensional periodic substrates with dc and circular ac drives

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
C ReichhardtM B Hastings

Abstract

We investigate the dynamical motion of particles on a two-dimensional symmetric periodic substrate in the presence of both a dc drive along a symmetry direction of the periodic substrate and an additional circular ac drive. For large enough ac drives, the particle orbit encircles one or more potential maxima of the periodic substrate. In this case, when an additional increasing dc drive is applied in the longitudinal direction, the longitudinal velocity increases in a series of discrete steps that are integer multiples of a omega/(2 pi), where a is the lattice constant of the substrate. Fractional steps can also occur. These integer and fractional steps correspond to distinct stable dynamical orbits. A number of these phases also show a rectification in the positive or negative transverse direction where a nonzero transverse velocity occurs in the absence of a dc transverse drive. We map out the phase diagrams of the regions of rectification as a function of ac amplitude, and find a series of tongues. Most of the features, including the steps in the longitudinal velocity and the transverse rectification, can be captured with a simple toy model and by arguments from nonlinear maps. We have also investigated the effects of therma...Continue Reading

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Citations

Jan 7, 2009·Chaos·José L Mateos, Fernando R Alatriste
Jan 9, 2009·Electrophoresis·Alexandr Jonás, Pavel Zemánek
Nov 30, 2005·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Sang-Hyuk Lee, David G Grier
Feb 21, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·C Reichhardt, C J Olson Reichhardt
Aug 8, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·John HerrmannGerman Drazer
Aug 11, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hiromichi Goko, Akito Igarashi

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