Self-sustained Clusters and Ergodicity Breaking in Spin Models
Disordered Systems and Neural Networks
2015-06-15 v1 Statistical Mechanics
Abstract
The emergence of self-sustained clusters and their role in ergodicity breaking is investigated in fully connected Ising and Sherrington-Kirkpatick (SK) models. The analysis reveals a clustering behavior at various parameter regimes, as well as yet unobserved phenomena such as the absence of non-trivial clusters in the Ising ferromagnetic and paramagnetic regimes, the formation of restricted spin clusters in SK spin glass and a first order phase transition in cluster sizes in the SK ferromagnet. The method could be adapted to investigate other spin models.
Cite
@article{arxiv.1304.7010,
title = {Self-sustained Clusters and Ergodicity Breaking in Spin Models},
author = {Chi Ho Yeung and David Saad},
journal= {arXiv preprint arXiv:1304.7010},
year = {2015}
}
Comments
4 pages, 4 figures + 21 pages of supplementary information