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Metastable states in glassy systems.

G Biroli1, J Kurchan

  • 1Laboratoire de Physique Théorique, Unité Mixte de Recherche du Centre National de la Recherche Scientifique de L'Ecole Normale Supérieure, 24 rue Lhomond, 75231 Paris Cedex 05, France.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|July 20, 2001
PubMed
Summary

Metastable states in glass theory gain meaning beyond approximations by incorporating finite lifetimes. This study proposes a new configurational entropy expression, generalizing known results and introducing dynamical order parameters.

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Area of Science:

  • Condensed Matter Physics
  • Statistical Mechanics
  • Theoretical Chemistry

Background:

  • Metastable states in glass theory are often treated as artifacts of approximations.
  • Configurational entropy requires a framework that includes states with finite lifetimes.

Purpose of the Study:

  • To develop a meaningful expression for configurational entropy beyond mean-field approximations.
  • To generalize existing results for metastable states in glass models.
  • To introduce new dynamical order parameters.

Main Methods:

  • Utilizing elementary examples and results from Gaveau and Schulman.
  • Developing a novel expression for configurational entropy.
  • Applying the construction to finite-dimensional systems and mean-field glass models.

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Main Results:

  • A simple, applicable expression for configurational entropy is proposed.
  • The construction recovers, justifies, and generalizes known results for mean-field glass models.
  • New dynamical order parameters emerge from the calculations.

Conclusions:

  • The proposed framework provides a more robust understanding of configurational entropy in glasses.
  • Finite lifetimes are crucial for defining metastable states beyond theoretical limits.
  • The study highlights the importance of dynamical parameters in describing glassy systems.