TL;DR
This paper reviews theories of glass dynamics, emphasizing the superiority of dynamical trap models over static models in explaining stretched exponential relaxation observed in glasses.
Contribution
It provides a critical comparison of axiomatic theories and experimental data, highlighting the effectiveness of dynamical trap models for glass relaxation phenomena.
Findings
Dynamical trap models better explain glass relaxation.
Stretched exponential relaxation is a universal property of glasses.
Static models are less consistent with experimental observations.
Abstract
Minimalist theories of complex systems are broadly of two kinds: mean-field and axiomatic. So far all theories of complex properties absent from simple systems and intrinsic to glasses are axiomatic. Stretched Exponential Relaxation (SER) is the prototypical complex temporal property of glasses, discovered by Kohlrausch 150 years ago, and now observed almost universally in microscopically homogeneous, complex non-equilibrium materials, including luminescent electronic (Coulomb) glasses. Critical comparison of alternative axiomatic theories with both numerical simulations and experiments strongly favors dynamical trap models over static percolative or energy landscape models. PACS: 61.20.Lc; 67.40.Fd
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