Abstract
Relaxation in glasses is often approximated by a stretched-exponential form: f(t) = Aexp [ - (t/ τ) β]. Here, we show that the relaxation in a model of sheared non-Brownian suspensions developed by Corté et al. (Nat Phys 4:420–424, 2008) can be well approximated by a stretched exponential with an exponent β that depends on the strain amplitude: 0.25 < β< 1. In a one-dimensional version of the model, we show how the relaxation originates from density fluctuations in the initial particle configurations. Our analysis is in good agreement with numerical simulations and reveals a functional form for the relaxation that is distinct from, but well approximated by, a stretched-exponential function.
Original language | English (US) |
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Pages (from-to) | 749-762 |
Number of pages | 14 |
Journal | Journal of Statistical Physics |
Volume | 167 |
Issue number | 3-4 |
DOIs | |
State | Published - May 1 2017 |
Keywords
- Glasses
- Particulate media
- Relaxation
- Transport processes
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics