Relaxation in glasses is often approximated by a stretched-exponential form: (Formula presented.). 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 (Formula presented.) that depends on the strain amplitude: (Formula presented.). 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