Reduction of Dilute Ising Spin Glasses
Disordered Systems and Neural Networks
2008-07-01 v3
Abstract
The recently proposed reduction method for diluted spin glasses is investigated in depth. In particular, the Edwards-Anderson model with \pm J and Gaussian bond disorder on hyper-cubic lattices in d=2, 3, and 4 is studied for a range of bond dilutions. The results demonstrate the effectiveness of using bond dilution to elucidate low-temperature properties of Ising spin glasses, and provide a starting point to enhance the methods used in reduction. Based on that, a greedy heuristic call ``Dominant Bond Reduction'' is introduced and explored.
Keywords
Cite
@article{arxiv.0802.1941,
title = {Reduction of Dilute Ising Spin Glasses},
author = {S. Boettcher and J. Davidheiser},
journal= {arXiv preprint arXiv:0802.1941},
year = {2008}
}
Comments
10 pages, revtex, final version, find related material at http://www.physics.emory.edu/faculty/boettcher/