Pinning susceptibility: The effect of dilute, quenched disorder on jamming

Graves AL, Nashed S, Padgett E, Goodrich CP, Liu AJ, Sethna JP. 2016. Pinning susceptibility: The effect of dilute, quenched disorder on jamming. Physical Review Letters. 116(23), 235501.

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Journal Article | Published | English
Author
Graves, Amy L.; Nashed, Samer; Padgett, Elliot; Goodrich, Carl PeterIST Austria ; Liu, Andrea J.; Sethna, James P.
Abstract
We study the effect of dilute pinning on the jamming transition. Pinning reduces the average contact number needed to jam unpinned particles and shifts the jamming threshold to lower densities, leading to a pinning susceptibility, χp. Our main results are that this susceptibility obeys scaling form and diverges in the thermodynamic limit as χp∝|ϕ−ϕ∞c|−γp where ϕ∞c is the jamming threshold in the absence of pins. Finite-size scaling arguments yield these values with associated statistical (systematic) errors γp=1.018±0.026(0.291) in d=2 and γp=1.534±0.120(0.822) in d=3. Logarithmic corrections raise the exponent in d=2 to close to the d=3 value, although the systematic errors are very large.
Publishing Year
Date Published
2016-06-10
Journal Title
Physical Review Letters
Volume
116
Issue
23
Article Number
235501
IST-REx-ID

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Graves AL, Nashed S, Padgett E, Goodrich CP, Liu AJ, Sethna JP. Pinning susceptibility: The effect of dilute, quenched disorder on jamming. Physical Review Letters. 2016;116(23). doi:10.1103/physrevlett.116.235501
Graves, A. L., Nashed, S., Padgett, E., Goodrich, C. P., Liu, A. J., & Sethna, J. P. (2016). Pinning susceptibility: The effect of dilute, quenched disorder on jamming. Physical Review Letters. American Physical Society. https://doi.org/10.1103/physrevlett.116.235501
Graves, Amy L., Samer Nashed, Elliot Padgett, Carl Peter Goodrich, Andrea J. Liu, and James P. Sethna. “Pinning Susceptibility: The Effect of Dilute, Quenched Disorder on Jamming.” Physical Review Letters. American Physical Society, 2016. https://doi.org/10.1103/physrevlett.116.235501.
A. L. Graves, S. Nashed, E. Padgett, C. P. Goodrich, A. J. Liu, and J. P. Sethna, “Pinning susceptibility: The effect of dilute, quenched disorder on jamming,” Physical Review Letters, vol. 116, no. 23. American Physical Society, 2016.
Graves AL, Nashed S, Padgett E, Goodrich CP, Liu AJ, Sethna JP. 2016. Pinning susceptibility: The effect of dilute, quenched disorder on jamming. Physical Review Letters. 116(23), 235501.
Graves, Amy L., et al. “Pinning Susceptibility: The Effect of Dilute, Quenched Disorder on Jamming.” Physical Review Letters, vol. 116, no. 23, 235501, American Physical Society, 2016, doi:10.1103/physrevlett.116.235501.

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