PMID: 22587217May 17, 2012Paper

Defect modes in one-dimensional granular crystals

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Y ManChiara Daraio

Abstract

We study the vibrational spectra of one-dimensional statically compressed granular crystals (arrays of elastic particles in contact) containing light-mass defects. We focus on the prototypical settings of one or two spherical defects (particles of smaller radii) interspersed in a chain of larger uniform spherical particles. We present a systematic measurement, using continuous noise, of the near-linear frequency spectrum within the spatial vicinity of the defect(s). Using this technique, we identify the frequencies of the localized defect modes as a function of the defect size and the position of the defects relative to each other. We also compare the experimentally determined frequencies with those obtained by numerical eigenanalysis and by analytical expressions based on few-site considerations. These approximate analytical expressions, based on normal-mode analysis, are found to be in excellent agreement with numerics for a wide range of mass ratios. We also observe that the experimentally measured frequencies of the localized defect modes are uniformly upshifted, compared to the numerically and theoretically predicted values.

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Citations

Sep 7, 2017·Journal of Physics. Condensed Matter : an Institute of Physics Journal·C ChongC Daraio
Feb 28, 2018·Scientific Reports·Myungwon Hwang, Andres F Arrieta
Apr 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Luca BonanomiChiara Daraio
Mar 18, 2016·Physical Review. E·V AchilleosCh Skokos
Jan 20, 2018·Physical Review. E·Behrooz Yousefzadeh, Chiara Daraio
Feb 13, 2016·Physical Review. E·M Serra-GarciaC Daraio
Jun 15, 2016·Physical Review. E·Alejandro J MartínezJinkyu Yang
Feb 2, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·C Hoogeboom, P G Kevrekidis
May 18, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·P G KevrekidisC Daraio
Nov 15, 2014·Physical Review Letters·Joseph LydonChiara Daraio
Dec 18, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·V BerardiR Carretero-González
Apr 16, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·C ChongC Daraio

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