Finite-size scaling at the jamming transition

C.P. Goodrich, A.J. Liu, S.R. Nagel, Physical Review Letters 109 (2012) 095704.

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Journal Article | Published | English
Author
Goodrich, Carl PeterIST Austria ; Liu, Andrea J.; Nagel, Sidney R.
Abstract
We present an analysis of finite-size effects in jammed packings of N soft, frictionless spheres at zero temperature. There is a 1/N correction to the discrete jump in the contact number at the transition so that jammed packings exist only above isostaticity. As a result, the canonical power-law scalings of the contact number and elastic moduli break down at low pressure. These quantities exhibit scaling collapse with a nontrivial scaling function, demonstrating that the jamming transition can be considered a phase transition. Scaling is achieved as a function of N in both two and three dimensions, indicating an upper critical dimension of 2.
Publishing Year
Date Published
2012-08-27
Journal Title
Physical Review Letters
Volume
109
Issue
9
Article Number
095704
IST-REx-ID

Cite this

Goodrich CP, Liu AJ, Nagel SR. Finite-size scaling at the jamming transition. Physical Review Letters. 2012;109(9):095704. doi:10.1103/physrevlett.109.095704
Goodrich, C. P., Liu, A. J., & Nagel, S. R. (2012). Finite-size scaling at the jamming transition. Physical Review Letters, 109(9), 095704. https://doi.org/10.1103/physrevlett.109.095704
Goodrich, Carl Peter, Andrea J. Liu, and Sidney R. Nagel. “Finite-Size Scaling at the Jamming Transition.” Physical Review Letters 109, no. 9 (2012): 095704. https://doi.org/10.1103/physrevlett.109.095704.
C. P. Goodrich, A. J. Liu, and S. R. Nagel, “Finite-size scaling at the jamming transition,” Physical Review Letters, vol. 109, no. 9, p. 095704, 2012.
Goodrich CP, Liu AJ, Nagel SR. 2012. Finite-size scaling at the jamming transition. Physical Review Letters. 109(9), 095704.
Goodrich, Carl Peter, et al. “Finite-Size Scaling at the Jamming Transition.” Physical Review Letters, vol. 109, no. 9, American Physical Society, 2012, p. 095704, doi:10.1103/physrevlett.109.095704.

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