Volume 116, Number 6, December 2016
|Number of page(s)||5|
|Section||Interdisciplinary Physics and Related Areas of Science and Technology|
|Published online||09 February 2017|
Scaling for hard-sphere colloidal glasses near jamming
1 Van der Waals-Zeeman Institute, Institute of Physics, University of Amsterdam 1098 XH Amsterdam, The Netherlands
2 Institute of Physics, École Polytechnique Fédérale de Lausanne (EPFL) - CH-1015 Lausanne, Switzerland
Received: 28 September 2016
Accepted: 23 January 2017
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.
PACS: 82.70.Dd – Colloids
© EPLA, 2016
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