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Complexity as the driving force for glassy transitions

  • Th. M. Nieuwenhuizen
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 492)

Abstract

The glass transition is considered within two toys models, a mean field spin glass and a directed polymer in a correlated random potential.

In the spin glass model there occurs a dynamical transition, where the the system condenses in a state of lower entropy. The extensive entropy loss, called complexity or information entropy, is calculated by analysis of the metastable (TAP) states. This yields a well behaved thermodynamics of the dynamical transition. The multitude of glassy states also implies an extensive difference between the internal energy fluctuations and the specific heat.

In the directed polymer problem there occurs a thermodynamic phase transition in non-extensive terms of the free energy. At low temperature the polymer condenses in a set of highly degenerate metastable states.

Keywords

Free Energy Dynamical Transition Spin Glass Directed Polymer Spin Glass Model 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1997

Authors and Affiliations

  • Th. M. Nieuwenhuizen
    • 1
  1. 1.Van der Waals-Zeeman LaboratoriumUniversiteit van AmsterdamAmsterdamThe Netherlands

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