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Universal structures in some mean field spin glasses, and an application

Authors
  • Bolthausen, Erwin
  • Kistler, Nicola
Type
Preprint
Publication Date
Jun 15, 2008
Submission Date
Jun 15, 2008
Identifiers
DOI: 10.1063/1.2973818
Source
arXiv
License
Yellow
External links

Abstract

We discuss a spin glass reminiscent of the Random Energy Model, which allows in particular to recast the Parisi minimization into a more classical Gibbs variational principle, thereby shedding some light on the physical meaning of the order parameter of the Parisi theory. As an application, we study the impact of an extensive cavity field on Derrida's REM: Despite its simplicity, this model displays some interesting features such as ultrametricity and chaos in temperature.

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