Phonon Dispersion and Elastic Moduli of Two-Dimensional Disordered Colloidal Packings of Soft Particles with Frictional Interactions
Abstract
Particle tracking and displacement covariance matrix techniques are employed to investigate the phonon dispersion relations of two-dimensional colloidal glasses composed of soft, thermoresponsive microgel particles whose temperature-sensitive size permits \textit{in situ} variation of particle packing fraction. Bulk, , and shear, , moduli of the colloidal glasses are extracted from the dispersion relations as a function of packing fraction, and variation of the ratio with packing fraction is found to agree quantitatively with predictions for jammed packings of frictional soft particles. In addition, and individually agree with numerical predictions for frictional particles. This remarkable level of agreement enabled us to extract an energy scale for the inter-particle interaction from the individual elastic constants and to derive an approximate estimate for the inter-particle friction coefficient.
Keywords
Cite
@article{arxiv.1306.3188,
title = {Phonon Dispersion and Elastic Moduli of Two-Dimensional Disordered Colloidal Packings of Soft Particles with Frictional Interactions},
author = {Tim Still and Carl P. Goodrich and Ke Chen and Peter J. Yunker and Samuel Schoenholz and Andrea J. Liu and A. G. Yodh},
journal= {arXiv preprint arXiv:1306.3188},
year = {2015}
}