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Self-sustained Clusters and Ergodicity Breaking in Spin Models | | Chi Ho Yeung
; David Saad
; | | Date: |
25 Apr 2013 | | 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. | | Source: | arXiv, 1304.7010 | | Services: | Forum | Review | PDF | Favorites | |
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