We test the property of ultrametricity for three-dimensional Edwards-Anderson model
in zero magnetic field with numerical simulations up to $20^3$ spins.
We find an excellent agreement with the prediction of the mean field theory.
The results are presented both for the link and for the standard overlap, which are shown to be mutually non fluctuating quantities and, therefore, to be completely equivalent in the description of the low temperature phase of the Edwards-Anderson model.
%0 Book Section
%1 statphys23_1008
%A Contucci, P.
%A Giardinà, C.
%A Giberti, C.
%A Parisi, G.
%A Vernia, C.
%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 edwards-anderson field glass link mean model overlap spin standard statphys23 theory topic-9 ultrametricity
%T Ultrametricity in Short Range Spin Glass
%U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=1008
%X We test the property of ultrametricity for three-dimensional Edwards-Anderson model
in zero magnetic field with numerical simulations up to $20^3$ spins.
We find an excellent agreement with the prediction of the mean field theory.
The results are presented both for the link and for the standard overlap, which are shown to be mutually non fluctuating quantities and, therefore, to be completely equivalent in the description of the low temperature phase of the Edwards-Anderson model.
@incollection{statphys23_1008,
abstract = {We test the property of ultrametricity for three-dimensional Edwards-Anderson model
in zero magnetic field with numerical simulations up to $20^3$ spins.
We find an excellent agreement with the prediction of the mean field theory.
The results are presented both for the link and for the standard overlap, which are shown to be mutually non fluctuating quantities and, therefore, to be completely equivalent in the description of the low temperature phase of the Edwards-Anderson model.},
added-at = {2007-06-20T10:16:09.000+0200},
address = {Genova, Italy},
author = {Contucci, P. and Giardin\`a, C. and Giberti, C. and Parisi, G. and Vernia, C.},
biburl = {https://www.bibsonomy.org/bibtex/2ea054e6286b72fb5b18fa5f3b17d8f20/statphys23},
booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics},
editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano},
interhash = {13c2884cc31e5bc07a120364d1b70c23},
intrahash = {ea054e6286b72fb5b18fa5f3b17d8f20},
keywords = {edwards-anderson field glass link mean model overlap spin standard statphys23 theory topic-9 ultrametricity},
month = {9-13 July},
timestamp = {2007-06-20T10:16:36.000+0200},
title = {Ultrametricity in Short Range Spin Glass},
url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=1008},
year = 2007
}