Diffusion in Jammed Particle Packs
Abstract
Using random walk simulations we explore diffusive transport through monodisperse sphere packings over a range of packing fractions Φ in the vicinity of the jamming transition at Φ_{c}. Various diffusion properties are computed over several orders of magnitude in both time and packing pressure. Two wellseparated regimes of normal “Fickian” diffusion, where the mean squared displacement is linear in time, are observed. The first corresponds to diffusion inside individual spheres, while the latter is the longtime bulk diffusion. The intermediate anomalous diffusion regime and the longtime value of the diffusion coefficient are both shown to be controlled by particle contacts, which in turn depend on proximity to Φ_{c}. The time required to recover normal diffusion t* scales as (Φ–Φ_{c})^{–0.5} and the longtime diffusivity D∞~(Φ–Φ_{c})^{0.5}, or D_{∞}~1/t*. Here, it is shown that the distribution of mean first passage times associated with the escape of random walkers between neighboring particles controls both t* and D∞ in the limit Φ→Φ_{c}.
 Authors:

 Sandia National Lab. (SNLNM), Albuquerque, NM (United States)
 Southern Illinois Univ. Carbondale, Carbondale, IL (United States)
 Publication Date:
 Research Org.:
 Sandia National Lab. (SNLNM), Albuquerque, NM (United States)
 Sponsoring Org.:
 USDOE National Nuclear Security Administration (NNSA)
 OSTI Identifier:
 1512907
 Alternate Identifier(s):
 OSTI ID: 1212331
 Report Number(s):
 SAND20158001J
Journal ID: ISSN 00319007; PRLTAO; 666888
 Grant/Contract Number:
 AC0494AL85000
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Physical Review Letters
 Additional Journal Information:
 Journal Volume: 115; Journal Issue: 8; Journal ID: ISSN 00319007
 Publisher:
 American Physical Society (APS)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Bolintineanu, Dan Stefan, Grest, Gary S., Lechman, Jeremy B., and Silbert, Leonardo E. Diffusion in Jammed Particle Packs. United States: N. p., 2015.
Web. doi:10.1103/PhysRevLett.115.088002.
Bolintineanu, Dan Stefan, Grest, Gary S., Lechman, Jeremy B., & Silbert, Leonardo E. Diffusion in Jammed Particle Packs. United States. doi:10.1103/PhysRevLett.115.088002.
Bolintineanu, Dan Stefan, Grest, Gary S., Lechman, Jeremy B., and Silbert, Leonardo E. Thu .
"Diffusion in Jammed Particle Packs". United States. doi:10.1103/PhysRevLett.115.088002. https://www.osti.gov/servlets/purl/1512907.
@article{osti_1512907,
title = {Diffusion in Jammed Particle Packs},
author = {Bolintineanu, Dan Stefan and Grest, Gary S. and Lechman, Jeremy B. and Silbert, Leonardo E.},
abstractNote = {Using random walk simulations we explore diffusive transport through monodisperse sphere packings over a range of packing fractions Φ in the vicinity of the jamming transition at Φc. Various diffusion properties are computed over several orders of magnitude in both time and packing pressure. Two wellseparated regimes of normal “Fickian” diffusion, where the mean squared displacement is linear in time, are observed. The first corresponds to diffusion inside individual spheres, while the latter is the longtime bulk diffusion. The intermediate anomalous diffusion regime and the longtime value of the diffusion coefficient are both shown to be controlled by particle contacts, which in turn depend on proximity to Φc. The time required to recover normal diffusion t* scales as (Φ–Φc)–0.5 and the longtime diffusivity D∞~(Φ–Φc)0.5, or D∞~1/t*. Here, it is shown that the distribution of mean first passage times associated with the escape of random walkers between neighboring particles controls both t* and D∞ in the limit Φ→Φc.},
doi = {10.1103/PhysRevLett.115.088002},
journal = {Physical Review Letters},
number = 8,
volume = 115,
place = {United States},
year = {2015},
month = {8}
}
Web of Science
Figures / Tables:
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