Random-Cluster Correlation Inequalities for Gibbs Fields
Journal Article
·
· Journal of Statistical Physics
- NYU Abu Dhabi, Science division (United Arab Emirates)
In this note we prove a correlation inequality for local variables of a Gibbs field based on the connectivity in a random cluster representation of the non overlap configuration distribution of two independent copies of the field. As a consequence, we show that absence of a particular type of percolation (of Machta–Newman–Stein blue bonds) implies uniqueness of Gibbs distribution in EA Spin Glasses. In dimension two this could constitute a step towards a proof that the critical temperature is zero.
- OSTI ID:
- 22783686
- Journal Information:
- Journal of Statistical Physics, Vol. 173, Issue 2; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-4715
- Country of Publication:
- United States
- Language:
- English
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