Scaling for hard-sphere colloidal glasses near jamming

Hard-sphere colloids are model systems in which to study the glass transition and universal properties of amorphous solids. Using covariance matrix analysis to determine the vibrational modes, we experimentally measure here the scaling behavior of the density of states, shear modulus, and mean-squar...

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Bibliographic Details
Published in:Europhysics letters 2016-12, Vol.116 (6), p.68004-68004
Main Authors: Zargar, Rojman, DeGiuli, Eric, Bonn, Daniel
Format: Article
Language:English
Subjects:
82.70.Dd
Bosons
Colloids
Covariance matrix
Density of states
Displacement
Fractions
Glass
Glass transition
Jamming
Matrix methods
Peak frequency
Power law
Scaling
Shear modulus
Vibration mode
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Summary:Hard-sphere colloids are model systems in which to study the glass transition and universal properties of amorphous solids. Using covariance matrix analysis to determine the vibrational modes, we experimentally measure here the scaling behavior of the density of states, shear modulus, and mean-squared displacement (MSD) in a hard-sphere colloidal glass. Scaling the frequency with the boson-peak frequency, we find that the density of states at different volume fractions all collapse on a single master curve, which obeys a power law in terms of the scaled frequency. Below the boson peak, the exponent is consistent with theoretical results obtained by real-space and phase-space approaches to understanding amorphous solids. We find that the shear modulus and the MSD are nearly inversely proportional, and show a singular power-law dependence on the distance from random close packing. Our results are in very good agreement with the theoretical predictions.
ISSN:0295-5075
1286-4854
DOI:10.1209/0295-5075/116/68004