Absence of Chaotic Size Dependence for Spin Glasses on Hierarchical Lattices
Statistical Mechanics
2017-11-30 v1
Abstract
We investigate the question of whether chaotic size dependence occurs on hierarichical lattices and demonstrate that it is not present in these systems. Our results show that the metastate for spin glasses on hierarchical lattices is simple.
Cite
@article{arxiv.1711.10666,
title = {Absence of Chaotic Size Dependence for Spin Glasses on Hierarchical Lattices},
author = {Jeffrey Gertler and Jon Machta},
journal= {arXiv preprint arXiv:1711.10666},
year = {2017}
}
Comments
To appear in a volume honoring Charles M. Newman; 6 pages, 3 figures