Correlations between the dynamics of parallel tempering and the free-energy landscape in spin glasses
Disordered Systems and Neural Networks
2013-01-07 v2 Statistical Mechanics
Abstract
We present the results of a large-scale numerical study of the equilibrium three-dimensional Edwards-Anderson Ising spin glass with Gaussian disorder. Using parallel tempering (replica exchange) Monte Carlo we measure various static, as well as dynamical quantities, such as the autocorrelation times and round-trip times for the parallel tempering Monte Carlo method. The correlation between static and dynamic observables for 5000 disorder realizations and up to 1000 spins down to temperatures at 20% of the critical temperature is examined. Our results show that autocorrelation times are directly correlated with the roughness of the free-energy landscape.
Keywords
Cite
@article{arxiv.1210.6290,
title = {Correlations between the dynamics of parallel tempering and the free-energy landscape in spin glasses},
author = {Burcu Yucesoy and Jonathan Machta and Helmut G. Katzgraber},
journal= {arXiv preprint arXiv:1210.6290},
year = {2013}
}
Comments
10 pages, 9 figures