Some remarks on hierarchical replica symmetry breaking in finite-connectivity systems

Rémi Monasson

doi:10.1080/13642819808205043

Some remarks on hierarchical replica symmetry breaking in finite-connectivity systems

Rémi Monasson

École Polytechnique

Research output: Contribution to journal › Article › peer-review

Abstract

A function formalism capable of handling the first step of Parisi's hierarchical symmetry breaking for finite-connectivity systems is introduced. The order parameter is proposed to be a probability distribution over the set of all cavity fields probability distributions inside each states. As an application, the ground-state properties of the 2-satisfiability model are investigated and some evidence for the Occurrence of replica symmetry breaking above the percolation threshold is exposed.

Original language	English
Pages (from-to)	1515-1521
Number of pages	7
Journal	Philosophical Magazine B: Physics of Condensed Matter; Statistical Mechanics, Electronic, Optical and Magnetic Properties
Volume	77
Issue number	5
DOIs	https://doi.org/10.1080/13642819808205043
Publication status	Published - 1 Jan 1998

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Some remarks on hierarchical replica symmetry breaking in finite-connectivity systems

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