Temperature chaos in a replica symmetry broken spin glass model - A hierarchical model with temperature chaos -

Abstract

Temperature chaos is an extreme sensitivity of the equilibrium state to a change of temperature. It arises in several disordered systems that are described by the so called scaling theory of spin glasses, while it seems to be absent in mean field models. We consider a model spin glass on a tree and show that although it has mean field behavior with replica symmetry breaking, it manifestly has ``strong'' temperature chaos. We also show why chaos appears only very slowly with system size.

7 pages, 3 figures, the text is slightly changed

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• Fragility of the Free-Energy Landscape of a Directed Polymer in Random Media
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Cited by in corpus (5)

• Generalization of the cavity method for adiabatic evolution of Gibbs states
• Temperature and Disorder Chaos in Low Dimensional Directed Paths
• Magnetic field chaos in the SK Model
• Evidence for Temperature Chaos in Spin Glasses
• The discrete random energy model and one step replica symmetry breaking