Spin-glass phase characterization by time-series analysis
E. Vogel, B. Fierro, F. Bachmann, and G. Saravia. Abstract Book of the XXIII IUPAP International Conference on Statistical Physics, Genova, Italy, (9-13 July 2007)
Abstract
We consider the usual two-dimensional Edwards-Anderson model for spin glasses, with mixed concentration of ferromagnetic (F) bonds and antiferromagnetic (A) bonds of the same magnitude. Concentrations of A bonds are varied in the interval 0.00, 0.11, where a spin-glass phase has been characterized by means of the Binder cumulant technique. Many random samples are prepared for each different sample size and for each concentration to allow a basic statistic analysis. For each sample a single spin-flip Monte Carlo process is performed at different temperatures, recording the evolution of the Edwards-Anderson parameter q. Each one of these runs is stored in a separate file for subsequent studies. Thus, for instance, the time autocorrelation function is found for each of these numeric experiments. Functions corresponding to different sizes cross as a funtion of temperature in a way similar to Binder cumulants also leading to phase characterizations. The line separating a ferromagnetic phase from a spin-glass phase obtained by the new method is reported. On the other hand, size of the compressed stored filed maximize at the critical temperature, for reasons not yet understood.
%0 Book Section
%1 statphys23_0354
%A Vogel, E.E.
%A Fierro, B.
%A Bachmann, F.
%A Saravia, G.
%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 binder compression cumulant data glass series spin statphys23 time topic-9
%T Spin-glass phase characterization by time-series analysis
%U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=354
%X We consider the usual two-dimensional Edwards-Anderson model for spin glasses, with mixed concentration of ferromagnetic (F) bonds and antiferromagnetic (A) bonds of the same magnitude. Concentrations of A bonds are varied in the interval 0.00, 0.11, where a spin-glass phase has been characterized by means of the Binder cumulant technique. Many random samples are prepared for each different sample size and for each concentration to allow a basic statistic analysis. For each sample a single spin-flip Monte Carlo process is performed at different temperatures, recording the evolution of the Edwards-Anderson parameter q. Each one of these runs is stored in a separate file for subsequent studies. Thus, for instance, the time autocorrelation function is found for each of these numeric experiments. Functions corresponding to different sizes cross as a funtion of temperature in a way similar to Binder cumulants also leading to phase characterizations. The line separating a ferromagnetic phase from a spin-glass phase obtained by the new method is reported. On the other hand, size of the compressed stored filed maximize at the critical temperature, for reasons not yet understood.
@incollection{statphys23_0354,
abstract = {We consider the usual two-dimensional Edwards-Anderson model for spin glasses, with mixed concentration of ferromagnetic (F) bonds and antiferromagnetic (A) bonds of the same magnitude. Concentrations of A bonds are varied in the interval [0.00, 0.11], where a spin-glass phase has been characterized by means of the Binder cumulant technique. Many random samples are prepared for each different sample size and for each concentration to allow a basic statistic analysis. For each sample a single spin-flip Monte Carlo process is performed at different temperatures, recording the evolution of the Edwards-Anderson parameter q. Each one of these runs is stored in a separate file for subsequent studies. Thus, for instance, the time autocorrelation function is found for each of these numeric experiments. Functions corresponding to different sizes cross as a funtion of temperature in a way similar to Binder cumulants also leading to phase characterizations. The line separating a ferromagnetic phase from a spin-glass phase obtained by the new method is reported. On the other hand, size of the compressed stored filed maximize at the critical temperature, for reasons not yet understood.},
added-at = {2007-06-20T10:16:09.000+0200},
address = {Genova, Italy},
author = {Vogel, E.E. and Fierro, B. and Bachmann, F. and Saravia, G.},
biburl = {https://www.bibsonomy.org/bibtex/2a226294d7e5617a00fa04a0b5408b4f8/statphys23},
booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics},
editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano},
interhash = {b2d2a0bee4c63e8d96b34d7fac80fa8a},
intrahash = {a226294d7e5617a00fa04a0b5408b4f8},
keywords = {binder compression cumulant data glass series spin statphys23 time topic-9},
month = {9-13 July},
timestamp = {2007-06-20T10:16:18.000+0200},
title = {Spin-glass phase characterization by time-series analysis},
url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=354},
year = 2007
}