dc.contributor.author Zeravcic, Zorana dc.contributor.author Saarloos, Wim dc.contributor.author Nelson, David R. dc.date.accessioned 2012-02-13T19:56:25Z dc.date.issued 2008 dc.identifier.citation Zeravcic, Zorana, Wim Saarloos, and David Nelson. 2008. Localization behavior of vibrational modes in granular packings. Europhysics Letters 83(4): 44001. en_US dc.identifier.issn 1286-4854 en_US dc.identifier.uri http://nrs.harvard.edu/urn-3:HUL.InstRepos:8160707 dc.description.abstract We 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.sponsorship Engineering and Applied Sciences en_US dc.description.sponsorship Molecular and Cellular Biology en_US dc.language.iso en_US en_US dc.publisher EDP Sciences en_US dc.relation.isversionof doi:10.1209/0295-5075/83/44001 en_US dc.relation.hasversion http://arxiv.org/abs/0802.3440v2 en_US dash.license OAP dc.title Localization Behavior of Vibrational Modes in Granular Packings en_US dc.type Journal Article en_US dc.description.version Author's Original en_US dc.relation.journal EPL (Europhysics Letters) en_US dash.depositing.author Nelson, David R. dc.date.available 2012-02-13T19:56:25Z dc.identifier.doi 10.1209/0295-5075/83/44001 * dash.contributor.affiliated Zeravcic, Zorana dash.contributor.affiliated Nelson, David
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