Self-sustained clusters and ergodicity breaking in spin models

Yeung, Chi H. and Saad, David (2013). Self-sustained clusters and ergodicity breaking in spin models. Physical Review E, 88 (3),

Abstract

Self-sustained spin clusters are analytically linked to ergodicity breaking in fully connected Ising and Sherrington-Kirkpatick (SK) models, relating the less understood spin space to the well understood state space. This correspondence is established through the absence of clusters in the paramagnetic phase, the presence of one dominant cluster in the Ising ferromagnet, and the formation of nontrivial clusters in SK spin glass. Yet unobserved phenomena are also revealed such as a first order phase transition in cluster sizes in the SK ferromagnet. The method could be adapted to investigate other spin models.

Publication DOI: https://doi.org/10.1103/PhysRevE.88.032132
Divisions: Engineering & Applied Sciences > Mathematics
Engineering & Applied Sciences > Systems analytics research institute (SARI)
Additional Information: ©2013 American Physical Society
Full Text Link: http://link.aps ... sRevE.88.032132
Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
Published Date: 2013-09-23
Authors: Yeung, Chi H.
Saad, David ( 0000-0001-9821-2623)

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