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

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

2008-06-15

arxiv.org/abs/0806.2446v1

Mathematics

Probability

Submitted to the special issue of JMP, 'Statistical Mechanics on Random Structures'

Scientific paper

10.1063/1.2973818

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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