A simple nonlinear equation for structural relaxation in glasses
arXiv:1205.3894 · doi:10.1103/PhysRevE.86.010501
Abstract
A wide range of glassy and disordered materials exhibit complex, non-exponential, structural relaxation (aging). We propose a simple nonlinear rate equation dδ/dt = a [1-exp (bδ)], where 'δ' is the normalized deviation of a macroscopic variable from its equilibrium value, to describe glassy relaxation. Analysis of extensive experimental data shows that this equation quantitatively captures structural relaxation, where 'a' and 'b' are both temperature-, and more importantly, history-dependent parameters. This analysis explicitly demonstrates that structural relaxation cannot be accurately described by a single non-equilibrium variable. Relaxation rates extracted from the data imply the existence of cooperative rearrangements on a super-molecular scale.
5 pages, 4 figures
References in corpus (13)
- Rheology of Soft Glassy Materials
- Glassy Aging Dynamics
- Crumpling a Thin Sheet
- Nonequilibrium Thermodynamics of Amorphous Materials II: Effective-Temperature Theory
- Physical aging studied by a device allowing for rapid thermal equilibration
- Physical ageing studied by a device allowing for rapid thermal equilibration
- Kovacs effects in an aging molecular liquid
- Electron Glass Dynamics
- The Kovacs effect in model glasses
- History-dependent relaxation and the energy scale of correlation in the Electron-Glass
- Slow dynamics and stress relaxation in a liquid as an elastic medium
- Understanding the problem of glass transition on the basis of elastic waves in a liquid
- A stroll among effective temperatures in aging systems: limits and perspectives
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- Narayanaswamy's 1971 aging theory and material time
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