Affiliation:
1. Laboratoire Charles Coulomb
2. Sapienza University of Rome
Abstract
We study the equilibrium statistical properties of the potential
energy landscape of several glass models in a temperature regime so far
inaccessible to computer simulations. We show that unstable modes of the
stationary points undergo a localization transition in real space close
to the mode-coupling crossover temperature determined from the dynamics.
The concentration of localized unstable modes found at low temperature
is a non-universal, finite dimensional feature not captured by
mean-field glass theory. Our analysis reconciles, and considerably
expands, previous conflicting numerical results and provides a
characteristic temperature for glassy dynamics that unambiguously
locates the mode-coupling crossover.
Subject
General Physics and Astronomy
Cited by
29 articles.
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