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Title: Pinning Susceptibility: The Effect of Dilute, Quenched Disorder on Jamming

Abstract

Here, 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, χ p . Our main results are that this susceptibility obeys scaling form and diverges in the thermodynamic limit as χ p | φ - φ c | - γ p where φ c is the jamming threshold in the absence of pins. Finite-size scaling arguments yield these values with associated statistical (systematic) errors γ p = 1.018 ± 0.026 ( 0.291 ) in d = 2 and γ p = 1.534 ± 0.120 ( 0.822 ) in d = 3 . Logarithmic corrections raise the exponent in d = 2 to close to the d = 3 value, while the systematic errors are very large.

Authors:
 [1];  [1];  [2];  [3];  [3];  [4]
  1. Swarthmore College, Swarthmore, PA (United States)
  2. Swarthmore College, Swarthmore, PA (United States); Cornell Univ., Ithaca, NY (United States)
  3. Univ. of Pennsylvania, Philadelphia, PA (United States)
  4. Cornell Univ., Ithaca, NY (United States)
Publication Date:
Research Org.:
Univ. of Pennsylvania, Philadelphia, PA (United States)
Sponsoring Org.:
National Science Foundation (NSF); USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; American Chemical Society Petroleum Research Fund
OSTI Identifier:
1596534
Alternate Identifier(s):
OSTI ID: 1256764
Grant/Contract Number:  
FG02-05ER46199; DMR-1312160
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 116; Journal Issue: 23; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; jamming; scaling

Citation Formats

Graves, Amy L., Nashed, Samer, Padgett, Elliot, Goodrich, Carl P., Liu, Andrea J., and Sethna, James P. Pinning Susceptibility: The Effect of Dilute, Quenched Disorder on Jamming. United States: N. p., 2016. Web. doi:10.1103/PhysRevLett.116.235501.
Graves, Amy L., Nashed, Samer, Padgett, Elliot, Goodrich, Carl P., Liu, Andrea J., & Sethna, James P. Pinning Susceptibility: The Effect of Dilute, Quenched Disorder on Jamming. United States. doi:10.1103/PhysRevLett.116.235501.
Graves, Amy L., Nashed, Samer, Padgett, Elliot, Goodrich, Carl P., Liu, Andrea J., and Sethna, James P. Fri . "Pinning Susceptibility: The Effect of Dilute, Quenched Disorder on Jamming". United States. doi:10.1103/PhysRevLett.116.235501. https://www.osti.gov/servlets/purl/1596534.
@article{osti_1596534,
title = {Pinning Susceptibility: The Effect of Dilute, Quenched Disorder on Jamming},
author = {Graves, Amy L. and Nashed, Samer and Padgett, Elliot and Goodrich, Carl P. and Liu, Andrea J. and Sethna, James P.},
abstractNote = {Here, 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, while the systematic errors are very large.},
doi = {10.1103/PhysRevLett.116.235501},
journal = {Physical Review Letters},
number = 23,
volume = 116,
place = {United States},
year = {2016},
month = {6}
}

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    Works referencing / citing this record:

    Crossover from Jamming to Clogging Behaviours in Heterogeneous Environments
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    Crossover from Jamming to Clogging Behaviours in Heterogeneous Environments
    journal, July 2018