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dc.contributor.authorZeravcic, Zorana
dc.contributor.authorSaarloos, Wim
dc.contributor.authorNelson, David R.
dc.date.accessioned2012-02-13T19:56:25Z
dc.date.issued2008
dc.identifier.citationZeravcic, Zorana, Wim Saarloos, and David Nelson. 2008. Localization behavior of vibrational modes in granular packings. Europhysics Letters 83(4): 44001.en_US
dc.identifier.issn1286-4854en_US
dc.identifier.urihttp://nrs.harvard.edu/urn-3:HUL.InstRepos:8160707
dc.description.abstractWe study the localization of vibrational modes of frictionless granular media. We introduce a new method, motivated by earlier work on non-Hermitian quantum problems, which works well both in the localized regime where the localization length \(\xi\) is much less than the linear size \(L\) and in the regime \(\xi \gsim L\) when modes are extended throughout our finite system. Our very lowest frequency modes show "quasi-localized" resonances away from the jamming point; the spatial extent of these regions increases as the jamming point is approached, as expected theoretically. Throughout the remaining frequency range, our data show no signature of the nearness of the jamming point and collapse well when properly rescaled with the system size. Using Random Matrix Theory, we derive the scaling relation \(\xi \sim L^{d/2}\) for the regime \(\xi \gg L\) in \(d\) dimensions.en_US
dc.description.sponsorshipEngineering and Applied Sciencesen_US
dc.description.sponsorshipMolecular and Cellular Biologyen_US
dc.language.isoen_USen_US
dc.publisherEDP Sciencesen_US
dc.relation.isversionofdoi:10.1209/0295-5075/83/44001en_US
dc.relation.hasversionhttp://arxiv.org/abs/0802.3440v2en_US
dash.licenseOAP
dc.titleLocalization Behavior of Vibrational Modes in Granular Packingsen_US
dc.typeJournal Articleen_US
dc.description.versionAuthor's Originalen_US
dc.relation.journalEPL (Europhysics Letters)en_US
dash.depositing.authorNelson, David R.
dc.date.available2012-02-13T19:56:25Z
dc.identifier.doi10.1209/0295-5075/83/44001*
dash.contributor.affiliatedZeravcic, Zorana
dash.contributor.affiliatedNelson, David


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