Spin glass overlap barriers in three and four dimensions
Disordered Systems and Neural Networks
2009-10-31 v2 Statistical Mechanics
Abstract
For the Edwards-Anderson Ising spin-glass model in three and four dimensions (3d and 4d) we have performed high statistics Monte Carlo calculations of those free-energy barriers which are visible in the probability density of the Parisi overlap parameter . The calculations rely on the recently introduced multi-overlap algorithm. In both dimensions, within the limits of lattice sizes investigated, these barriers are found to be non-self-averaging and the same is true for the autocorrelation times of our algorithm. Further, we present evidence that barriers hidden in dominate the canonical autocorrelation times.
Keywords
Cite
@article{arxiv.cond-mat/9910323,
title = {Spin glass overlap barriers in three and four dimensions},
author = {Bernd A. Berg and Alain Billoire and Wolfhard Janke},
journal= {arXiv preprint arXiv:cond-mat/9910323},
year = {2009}
}
Comments
20 pages, Latex, 12 Postscript figures, revised version to appear in Phys. Rev. B