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

Graves, Amy L.; Nashed, Samer; Padgett, Elliot; Goodrich, Carl P.; Liu, Andrea J.; Sethna, James P.

doi:10.1103/PhysRevLett.116.235501

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

Journal Article · Fri Jun 10 00:00:00 EDT 2016 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.116.235501· OSTI ID:1596534

Graves, Amy L. ^[1]; Nashed, Samer ^[2]; Padgett, Elliot ^[3]; Goodrich, Carl P. ^[4]; Liu, Andrea J. ^[4]; Sethna, James P. ^[5]

Swarthmore College, Swarthmore, PA (United States); University of Pennsylvania
Swarthmore College, Swarthmore, PA (United States)
Swarthmore College, Swarthmore, PA (United States); Cornell Univ., Ithaca, NY (United States)
Univ. of Pennsylvania, Philadelphia, PA (United States)
Cornell Univ., Ithaca, NY (United States)

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} \propto | φ - φ_{c}^{\infty} |^{- γ_{p}}

where

φ_{c}^{\infty}

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 \pm 0.026 (0.291)

d = 2

and

γ_{p} = 1.534 \pm 0.120 (0.822)

d = 3

. Logarithmic corrections raise the exponent in

d = 2

to close to the

d = 3

value, while the systematic errors are very large.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Pennsylvania, Philadelphia, PA (United States)

Sponsoring Organization:: American Chemical Society Petroleum Research Fund; National Science Foundation (NSF); USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division

Grant/Contract Number:: FG02-05ER46199

OSTI ID:: 1596534

Alternate ID(s):: OSTI ID: 1256764

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 23 Vol. 116; ISSN 0031-9007; ISSN PRLTAO

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Crossover from Jamming to Clogging Behaviours in Heterogeneous Environments Péter, H.; Libál, A.; Reichhardt, C. Scientific Reports, Vol. 8, Issue 1 https://doi.org/10.1038/s41598-018-28256-6	journal	July 2018
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Depinning and nonequilibrium dynamic phases of particle assemblies driven over random and ordered substrates: a review Reichhardt, C.; Olson Reichhardt, C. J. Reports on Progress in Physics, Vol. 80, Issue 2 https://doi.org/10.1088/1361-6633/80/2/026501	journal	December 2016
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Dynamic phases, clustering, and chain formation for driven disk systems in the presence of quenched disorder Yang, Y.; McDermott, D.; Reichhardt, C. J. Olson Physical Review E, Vol. 95, Issue 4 https://doi.org/10.1103/physreve.95.042902	journal	April 2017
Tuning and jamming reduced to their minima Ruiz-Garcia, Miguel; Liu, Andrea J.; Katifori, Eleni arXiv https://doi.org/10.48550/arxiv.1901.00674	text	January 2019

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