A Model for Approximately Stretched-Exponential Relaxation with Continuously Varying Stretching Exponents

Joseph D. Paulsen, Sidney R. Nagel

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

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 languageEnglish (US)
Pages (from-to)749-762
Number of pages14
JournalJournal of Statistical Physics
Volume167
Issue number3-4
DOIs
StatePublished - May 1 2017

Keywords

  • Glasses
  • Particulate media
  • Relaxation
  • Transport processes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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