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Published November 15, 2013 | Published + Submitted
Journal Article Open

Directed ratchet transport in granular chains


Directed-ratchet transport (DRT) in a one-dimensional lattice of spherical beads, which serves as a prototype for granular chains, is investigated. We consider a system where the trajectory of the central bead is prescribed by a biharmonic forcing function with broken time-reversal symmetry. By comparing the mean integrated force of beads equidistant from the forcing bead, two distinct types of directed transport can be observed—spatial and temporal DRT. Based on the value of the frequency of the forcing function relative to the cutoff frequency, the system can be categorized by the presence and magnitude of each type of DRT. Furthermore, we investigate and quantify how varying additional parameters such as the biharmonic weight affects DRT velocity and magnitude. Finally, friction is introduced into the system and is found to significantly inhibit spatial DRT. In fact, for sufficiently low forcing frequencies, the friction may even induce a switching of the DRT direction.

Additional Information

© 2013 American Physical Society. Received 24 September 2013; published 15 November 2013. We thank Niurka R. Quintero for useful discussions and for prompting relevant references. NSF DMS-0806762, the U.S. Air Force under Grant No. FA9550-12-1-0332, Alexander S. Onassis, and Alexander von Humboldt Foundation (P.G.K.), NSF DMS-0806762 (R.C.G.), NSF CMMI-1000337, and NSF CAREER CMMI-844540 (C.D. and J.L.) is kindly acknowledged.

Attached Files

Published - PhysRevE.88.052202.pdf

Submitted - 1309.6305.pdf


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