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Two-dimensional optical thermal ratchets based on Fibonacci spirals.

Authors
  • Xiao, Ke
  • Roichman, Yael
  • Grier, David G
Type
Published Article
Journal
Physical Review E
Publisher
American Physical Society (APS)
Publication Date
Jul 01, 2011
Volume
84
Issue
1 Pt 1
Pages
11131–11131
Identifiers
PMID: 21867137
Source
Medline
License
Unknown

Abstract

An ensemble of symmetric potential energy wells arranged at the vertices of a Fibonacci spiral can serve as the basis for an irreducibly two-dimensional thermal ratchet. Periodic rotation of the potential energy landscape through a three-step cycle drives trapped Brownian particles along spiral trajectories through the pattern. Which spiral is selected depends on the angular displacement at each step, with transitions between selected spirals arising at rational proportions of the golden angle. Fibonacci spiral ratchets therefore display an exceptionally rich range of transport properties, including inhomogeneous states in which different parts of the pattern induce motion in different directions. Both the radial and angular components of these trajectories can undergo flux reversal as a function of the scale of the pattern or the rate of rotation.

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