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Directed ratchet transport in granular chains

Berardi, V. and Lydon, J. and Kevrekidis, P. G. and Daraio, C. and Carretero-González, R. (2013) Directed ratchet transport in granular chains. Physical Review E, 88 (5). Art. No. 052202. ISSN 1539-3755. doi:10.1103/PhysRevE.88.052202. https://resolver.caltech.edu/CaltechAUTHORS:20131212-083713497

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Abstract

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.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1103/PhysRevE.88.052202 DOIArticle
http://arxiv.org/abs/1309.6305arXivDiscussion Paper
ORCID:
AuthorORCID
Kevrekidis, P. G.0000-0002-7714-3689
Daraio, C.0000-0001-5296-4440
Alternate Title:Directed Ratchet Transport in Granular Crystals
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.
Funders:
Funding AgencyGrant Number
NSFDMS-0806762
Air Force Office of Scientific Research (AFOSR)FA9550-12-1-0332
Alexander von Humboldt FoundationUNSPECIFIED
NSFCMMI-1000337
NSFCMMI-844540
Issue or Number:5
Classification Code:PACS: 45.70.Vn, 05.45.Xt, 62.30.+d
DOI:10.1103/PhysRevE.88.052202
Record Number:CaltechAUTHORS:20131212-083713497
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20131212-083713497
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:42972
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:12 Dec 2013 20:22
Last Modified:10 Nov 2021 16:31

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