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Exact solution of a p-spin glass model with gauge symmetry

Abstract Book of the XXIII IUPAP International Conference on Statistical Physics, 2007.
Authors: S. Korada and N. Macris
Editors: Luciano Pietronero and Vittorio Loreto and Stefano Zapperi
URL: http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=738
Tags: channel communication gauge glass interpolation method noisy spin statphys23 symmetry topic-1
Abstract: We consider a spin glass model with complete p-spin interactions. The coupling constants and the external magnetic field are gaussian independent identically distributed random variables with equal mean and variance. This provides the model with a gauge symmetry which precludes replica symmetry breaking. Based on ideas from the Guerra-Toninelli interpolation technique we prove that the replica symmetric solution is indeed exact. The model displays a phase transition. One of the motivations for considering this model comes from similar problems in the analysis of noisy channel communication. In this context it is important to determine the phase transition threshold which corresponds to a noise value beyond which reliable communication is not possible. This connection and related results will be outlined.
| URL | BibTeX  
@incollection{statphys23_0738,
title = {Exact solution of a p-spin glass model with gauge symmetry},
address = {Genova, Italy},
author = {S. Korada and N. Macris},
booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics},
editor = {Luciano Pietronero and Vittorio Loreto and Stefano Zapperi},
month = {9-13 July},
url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=738},
year = {2007},
abstract = {We consider a spin glass model with complete p-spin interactions. The coupling constants and the external magnetic field are gaussian independent identically distributed random variables with equal mean and variance. This provides the model with a gauge symmetry which precludes replica symmetry breaking. Based on ideas from the Guerra-Toninelli interpolation technique we prove that the replica symmetric solution is indeed exact. The model displays a phase transition. One of the motivations for considering this model comes from similar problems in the analysis of noisy channel communication. In this context it is important to determine the phase transition threshold which corresponds to a noise value beyond which reliable communication is not possible. This connection and related results will be outlined.},
keywords = {channel communication gauge glass interpolation method noisy spin statphys23 symmetry topic-1 }
}