Pinning Susceptibility: The Effect of Dilute, Quenched Disorder on Jamming
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-φc|-γp where φc 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. © 2016 American Physical Society.
Date Published
Journal
Physical Review Letters
Volume
116
Issue
23
URL
https://www.scopus.com/inward/record.uri?eid=2-s2.0-84974712323&doi=10.1103%2fPhysRevLett.116.235501&partnerID=40&md5=58c51d30b8e5f5770c5e2711d0438ad1
DOI
10.1103/PhysRevLett.116.235501
Research Area
Group (Lab)
James Sethna Group
Funding Source
DMR 1312160
1312160
DE-FG02-05ER46199