Eur. Phys. J. B 28, 199-208 (2002)
https://doi.org/10.1140/epjb/e2002-00221-y

Chaotic temperature dependence in a model of spin glasses

A random-energy random-entropy model

¹ Laboratoire de Physique Théorique et Modèles Statistiques, bâtiment 100, Université Paris-Sud, 91405 Orsay Cedex, France
² Service de Physique de l'État Condensé, Orme des Merisiers – CEA Saclay, 91191 Gif-sur-Yvette Cedex, France

Corresponding author: ^a krzakala@ipno.in2p3.fr

Received: 27 March 2002
Published online: 19 July 2002

Abstract

We address the problem of chaotic temperature dependence in disordered glassy systems at equilibrium by following states of a random-energy random-entropy model in temperature; of particular interest are the crossings of the free-energies of these states. We find that this model exhibits strong, weak or no temperature chaos depending on the value of an exponent. This allows us to write a general criterion for temperature chaos in disordered systems, predicting the presence of temperature chaos in the Sherrington-Kirkpatrick and Edwards-Anderson spin glass models, albeit when the number of spins is large enough. The absence of chaos for smaller systems may justify why it is difficult to observe chaos with current simulations. We also illustrate our findings by studying temperature chaos in the naïve mean field equations for the Edwards-Anderson spin glass.