Stability of jammed packings I: The rigidity length scale

Goodrich CP, Ellenbroek WG, Liu AJ. 2013. Stability of jammed packings I: The rigidity length scale. Soft Matter. 9(46), 10993.

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Journal Article | Published | English
Author
Goodrich, Carl PeterIST Austria ; Ellenbroek, Wouter G.; Liu, Andrea J.
Abstract
In 2005, Wyart et al. [Europhys. Lett., 2005, 72, 486] showed that the low frequency vibrational properties of jammed amorphous sphere packings can be understood in terms of a length scale, called l*, that diverges as the system becomes marginally unstable. Despite the tremendous success of this theory, it has been difficult to connect the counting argument that defines l* to other length scales that diverge near the jamming transition. We present an alternate derivation of l* based on the onset of rigidity. This phenomenological approach reveals the physical mechanism underlying the length scale and is relevant to a range of systems for which the original argument breaks down. It also allows us to present the first direct numerical measurement of l*.
Publishing Year
Date Published
2013-10-08
Journal Title
Soft Matter
Volume
9
Issue
46
Article Number
10993
IST-REx-ID

Cite this

Goodrich CP, Ellenbroek WG, Liu AJ. Stability of jammed packings I: The rigidity length scale. Soft Matter. 2013;9(46). doi:10.1039/c3sm51095f
Goodrich, C. P., Ellenbroek, W. G., & Liu, A. J. (2013). Stability of jammed packings I: The rigidity length scale. Soft Matter. Royal Society of Chemistry. https://doi.org/10.1039/c3sm51095f
Goodrich, Carl Peter, Wouter G. Ellenbroek, and Andrea J. Liu. “Stability of Jammed Packings I: The Rigidity Length Scale.” Soft Matter. Royal Society of Chemistry, 2013. https://doi.org/10.1039/c3sm51095f.
C. P. Goodrich, W. G. Ellenbroek, and A. J. Liu, “Stability of jammed packings I: The rigidity length scale,” Soft Matter, vol. 9, no. 46. Royal Society of Chemistry, 2013.
Goodrich CP, Ellenbroek WG, Liu AJ. 2013. Stability of jammed packings I: The rigidity length scale. Soft Matter. 9(46), 10993.
Goodrich, Carl Peter, et al. “Stability of Jammed Packings I: The Rigidity Length Scale.” Soft Matter, vol. 9, no. 46, 10993, Royal Society of Chemistry, 2013, doi:10.1039/c3sm51095f.

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