Jamming in finite systems: Stability, anisotropy, fluctuations, and scaling

C.P. Goodrich, S. Dagois-Bohy, B.P. Tighe, M. van Hecke, A.J. Liu, S.R. Nagel, Physical Review E 90 (2014) 022138.

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Journal Article | Published | English
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Abstract
Athermal packings of soft repulsive spheres exhibit a sharp jamming transition in the thermodynamic limit. Upon further compression, various structural and mechanical properties display clean power-law behavior over many decades in pressure. As with any phase transition, the rounding of such behavior in finite systems close to the transition plays an important role in understanding the nature of the transition itself. The situation for jamming is surprisingly rich: the assumption that jammed packings are isotropic is only strictly true in the large-size limit, and finite-size has a profound effect on the very meaning of jamming. Here, we provide a comprehensive numerical study of finite-size effects in sphere packings above the jamming transition, focusing on stability as well as the scaling of the contact number and the elastic response.
Publishing Year
Date Published
2014-08-27
Journal Title
Physical Review E
Volume
90
Issue
2
Article Number
022138
IST-REx-ID

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Goodrich CP, Dagois-Bohy S, Tighe BP, van Hecke M, Liu AJ, Nagel SR. Jamming in finite systems: Stability, anisotropy, fluctuations, and scaling. Physical Review E. 2014;90(2):022138. doi:10.1103/physreve.90.022138
Goodrich, C. P., Dagois-Bohy, S., Tighe, B. P., van Hecke, M., Liu, A. J., & Nagel, S. R. (2014). Jamming in finite systems: Stability, anisotropy, fluctuations, and scaling. Physical Review E, 90(2), 022138. https://doi.org/10.1103/physreve.90.022138
Goodrich, Carl Peter, Simon Dagois-Bohy, Brian P. Tighe, Martin van Hecke, Andrea J. Liu, and Sidney R. Nagel. “Jamming in Finite Systems: Stability, Anisotropy, Fluctuations, and Scaling.” Physical Review E 90, no. 2 (2014): 022138. https://doi.org/10.1103/physreve.90.022138.
C. P. Goodrich, S. Dagois-Bohy, B. P. Tighe, M. van Hecke, A. J. Liu, and S. R. Nagel, “Jamming in finite systems: Stability, anisotropy, fluctuations, and scaling,” Physical Review E, vol. 90, no. 2, p. 022138, 2014.
Goodrich CP, Dagois-Bohy S, Tighe BP, van Hecke M, Liu AJ, Nagel SR. 2014. Jamming in finite systems: Stability, anisotropy, fluctuations, and scaling. Physical Review E. 90(2), 022138.
Goodrich, Carl Peter, et al. “Jamming in Finite Systems: Stability, Anisotropy, Fluctuations, and Scaling.” Physical Review E, vol. 90, no. 2, American Physical Society, 2014, p. 022138, doi:10.1103/physreve.90.022138.

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