Pinning Susceptibility: The Effect Of Dilute, Quenched Disorder On Jamming

Authors

Amy Lisa Graves, Swarthmore CollegeFollow
Samer B. Nashed , '15
Elliot S. Padgett , '13
C. P. Goodrich
A. J. Liu
J. P. Sethna

Document Type

Article

Publication Date

6-10-2016

Published In

Physical Review Letters

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.

Comments

This work is freely available courtesy of the American Physical Society.

Recommended Citation

Amy Lisa Graves et al. (2016). "Pinning Susceptibility: The Effect Of Dilute, Quenched Disorder On Jamming". Physical Review Letters. Volume 116, Issue 23. DOI: 10.1103/PhysRevLett.116.235501
https://works.swarthmore.edu/fac-physics/277