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arXiv · 1304.7010

Self-sustained Clusters and Ergodicity Breaking in Spin Models

Chi Ho Yeung·David Saad
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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.

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Chi Ho Yeung, David Saad. 2013-04-25. Self-sustained Clusters and Ergodicity Breaking in Spin Models. https://doi.org/10.1103/physreve.88.032132

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