Phonon dispersion and elastic moduli of two-dimensional disordered colloidal packings of soft particles with frictional interactions

T. Still, C.P. Goodrich, K. Chen, P.J. Yunker, S. Schoenholz, A.J. Liu, A.G. Yodh, Physical Review E 89 (2014) 012301.

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Journal Article | Published | English
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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 in situ variation of particle packing fraction. Bulk, B, and shear, G, moduli of the colloidal glasses are extracted from the dispersion relations as a function of packing fraction, and variation of the ratio G/B with packing fraction is found to agree quantitatively with predictions for jammed packings of frictional soft particles. In addition, G and B individually agree with numerical predictions for frictional particles. This remarkable level of agreement enabled us to extract an energy scale for the interparticle interaction from the individual elastic constants and to derive an approximate estimate for the interparticle friction coefficient.
Publishing Year
Date Published
2014-01-03
Journal Title
Physical Review E
Volume
89
Issue
1
Article Number
012301
IST-REx-ID

Cite this

Still T, Goodrich CP, Chen K, et al. Phonon dispersion and elastic moduli of two-dimensional disordered colloidal packings of soft particles with frictional interactions. Physical Review E. 2014;89(1):012301. doi:10.1103/physreve.89.012301
Still, T., Goodrich, C. P., Chen, K., Yunker, P. J., Schoenholz, S., Liu, A. J., & Yodh, A. G. (2014). Phonon dispersion and elastic moduli of two-dimensional disordered colloidal packings of soft particles with frictional interactions. Physical Review E, 89(1), 012301. https://doi.org/10.1103/physreve.89.012301
Still, Tim, Carl Peter Goodrich, Ke Chen, Peter J. Yunker, Samuel Schoenholz, Andrea J. Liu, and A. G. Yodh. “Phonon Dispersion and Elastic Moduli of Two-Dimensional Disordered Colloidal Packings of Soft Particles with Frictional Interactions.” Physical Review E 89, no. 1 (2014): 012301. https://doi.org/10.1103/physreve.89.012301.
T. Still et al., “Phonon dispersion and elastic moduli of two-dimensional disordered colloidal packings of soft particles with frictional interactions,” Physical Review E, vol. 89, no. 1, p. 012301, 2014.
Still T, Goodrich CP, Chen K, Yunker PJ, Schoenholz S, Liu AJ, Yodh AG. 2014. Phonon dispersion and elastic moduli of two-dimensional disordered colloidal packings of soft particles with frictional interactions. Physical Review E. 89(1), 012301.
Still, Tim, et al. “Phonon Dispersion and Elastic Moduli of Two-Dimensional Disordered Colloidal Packings of Soft Particles with Frictional Interactions.” Physical Review E, vol. 89, no. 1, American Physical Society, 2014, p. 012301, doi:10.1103/physreve.89.012301.

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