Relaxation Spectra at the Glass Transition: Origin of Power Laws

Details Relaxation Spectra at the Glass Transition: Origin of Power Laws Relaxation Spectra at the Glass Transition: Origin of Power Laws

1997-07-18

arxiv.org/abs/cond-mat/9707193v1

Physics

Condensed Matter

Statistical Mechanics

ReVTEX file with 2 figures

Scientific paper

We propose a simple dynamical model of the glass transition based on the results from a non-randomly frustrated spin model which is known to form a glassy state below a characteristic quench temperature. The model is characterized by a multi-valleyed free-energy surface which is modulated by an overall curvature. The transition associated with the vanishing of this overall curvature is reminiscent of the glass transition. In particular, the frequency-dependent response evolves from a Debye relaxation peak to a function whose high-frequency behavior is characterized by a non-trivial power law. We present both an analytical form for the response function and numerical results from Langevin simulations.

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