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.
- Particulate media
- Transport processes
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics