Replica symmetry breaking for the Ising spin glass in cluster approximations
T. Yokota. Abstract Book of the XXIII IUPAP International Conference on Statistical Physics, Genova, Italy, (9-13 July 2007)
Abstract
Various cluster approximations are applied to the Ising spin glass in a field using the replica method close to the glass transition temperature. The spin glass order parameter function and the de Almeida-Thouless line are obtained and compared with those for the Sherrington-Kirkpatrick (SK) model. The slope of the order parameter function seems to become smaller as the cluster size becomes larger. The region of glassy phase in the temperature-field plane of the phase diagram for clusters without a loop is smaller than that for the SK model. Changes of the region for clusters with loops are more complicated.
%0 Book Section
%1 statphys23_1083
%A Yokota, T.
%B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics
%C Genova, Italy
%D 2007
%E Pietronero, Luciano
%E Loreto, Vittorio
%E Zapperi, Stefano
%K approximation breaking cluster glass ising line replica spin statphys23 symmetry topic-9
%T Replica symmetry breaking for the Ising spin glass in cluster approximations
%U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=1083
%X Various cluster approximations are applied to the Ising spin glass in a field using the replica method close to the glass transition temperature. The spin glass order parameter function and the de Almeida-Thouless line are obtained and compared with those for the Sherrington-Kirkpatrick (SK) model. The slope of the order parameter function seems to become smaller as the cluster size becomes larger. The region of glassy phase in the temperature-field plane of the phase diagram for clusters without a loop is smaller than that for the SK model. Changes of the region for clusters with loops are more complicated.
@incollection{statphys23_1083,
abstract = {Various cluster approximations are applied to the Ising spin glass in a field using the replica method close to the glass transition temperature. The spin glass order parameter function and the de Almeida-Thouless line are obtained and compared with those for the Sherrington-Kirkpatrick (SK) model. The slope of the order parameter function seems to become smaller as the cluster size becomes larger. The region of glassy phase in the temperature-field plane of the phase diagram for clusters without a loop is smaller than that for the SK model. Changes of the region for clusters with loops are more complicated.},
added-at = {2007-06-20T10:16:09.000+0200},
address = {Genova, Italy},
author = {Yokota, T.},
biburl = {https://www.bibsonomy.org/bibtex/22eb79d0cbc6e4853b7258d81a71ecbfc/statphys23},
booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics},
editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano},
interhash = {bc3fb1f1c4142d73416331ec986047b7},
intrahash = {2eb79d0cbc6e4853b7258d81a71ecbfc},
keywords = {approximation breaking cluster glass ising line replica spin statphys23 symmetry topic-9},
month = {9-13 July},
timestamp = {2007-06-20T10:16:38.000+0200},
title = {Replica symmetry breaking for the Ising spin glass in cluster approximations},
url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=1083},
year = 2007
}