Diffusion in Jammed Particle Packs

Bolintineanu, Dan Stefan; Grest, Gary S.; Lechman, Jeremy B.; Silbert, Leonardo E.

doi:10.1103/PhysRevLett.115.088002

Diffusion in Jammed Particle Packs

Journal Article · Thu Aug 20 00:00:00 EDT 2015 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.115.088002· OSTI ID:1512907

Bolintineanu, Dan Stefan ^[1]; Grest, Gary S. ^[1]; Lechman, Jeremy B. ^[1]; Silbert, Leonardo E. ^[2]

Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Southern Illinois Univ. Carbondale, Carbondale, IL (United States)

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 well-separated 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 long-time bulk diffusion. The intermediate anomalous diffusion regime and the long-time 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 long-time 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.

View Accepted Manuscript (DOE)

Research Organization:: Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC04-94AL85000

OSTI ID:: 1512907

Alternate ID(s):: OSTI ID: 1212331

Report Number(s):: SAND--2015-8001J; 666888

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 8 Vol. 115; ISSN 0031-9007; ISSN PRLTAO

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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