---
_id: '7761'
abstract:
- lang: eng
  text: 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.
article_number: '235501'
article_processing_charge: No
article_type: original
author:
- first_name: Amy L.
  full_name: Graves, Amy L.
  last_name: Graves
- first_name: Samer
  full_name: Nashed, Samer
  last_name: Nashed
- first_name: Elliot
  full_name: Padgett, Elliot
  last_name: Padgett
- first_name: Carl Peter
  full_name: Goodrich, Carl Peter
  id: EB352CD2-F68A-11E9-89C5-A432E6697425
  last_name: Goodrich
  orcid: 0000-0002-1307-5074
- first_name: Andrea J.
  full_name: Liu, Andrea J.
  last_name: Liu
- first_name: James P.
  full_name: Sethna, James P.
  last_name: Sethna
citation:
  ama: 'Graves AL, Nashed S, Padgett E, Goodrich CP, Liu AJ, Sethna JP. Pinning susceptibility:
    The effect of dilute, quenched disorder on jamming. <i>Physical Review Letters</i>.
    2016;116(23). doi:<a href="https://doi.org/10.1103/physrevlett.116.235501">10.1103/physrevlett.116.235501</a>'
  apa: 'Graves, A. L., Nashed, S., Padgett, E., Goodrich, C. P., Liu, A. J., &#38;
    Sethna, J. P. (2016). Pinning susceptibility: The effect of dilute, quenched disorder
    on jamming. <i>Physical Review Letters</i>. American Physical Society. <a href="https://doi.org/10.1103/physrevlett.116.235501">https://doi.org/10.1103/physrevlett.116.235501</a>'
  chicago: '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.” <i>Physical Review Letters</i>. American Physical Society,
    2016. <a href="https://doi.org/10.1103/physrevlett.116.235501">https://doi.org/10.1103/physrevlett.116.235501</a>.'
  ieee: '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,”
    <i>Physical Review Letters</i>, vol. 116, no. 23. American Physical Society, 2016.'
  ista: '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.'
  mla: 'Graves, Amy L., et al. “Pinning Susceptibility: The Effect of Dilute, Quenched
    Disorder on Jamming.” <i>Physical Review Letters</i>, vol. 116, no. 23, 235501,
    American Physical Society, 2016, doi:<a href="https://doi.org/10.1103/physrevlett.116.235501">10.1103/physrevlett.116.235501</a>.'
  short: A.L. Graves, S. Nashed, E. Padgett, C.P. Goodrich, A.J. Liu, J.P. Sethna,
    Physical Review Letters 116 (2016).
date_created: 2020-04-30T11:40:10Z
date_published: 2016-06-10T00:00:00Z
date_updated: 2021-01-12T08:15:21Z
day: '10'
doi: 10.1103/physrevlett.116.235501
extern: '1'
intvolume: '       116'
issue: '23'
language:
- iso: eng
month: '06'
oa_version: None
publication: Physical Review Letters
publication_identifier:
  issn:
  - 0031-9007
  - 1079-7114
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
status: public
title: 'Pinning susceptibility: The effect of dilute, quenched disorder on jamming'
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 116
year: '2016'
...