Almost sure quasilocality fails for the random-cluster model on a tree
Journal Article
·
· Journal of Statistical Physics
- Chalmers Univ. of Technology, Goeteborg (Sweden)
We study the random-cluster model on a homogeneous tree, and show that the following three conditions are equivalent for a random-cluster measure: quasilocality, almost sure quasilocality, and the almost sure nonexistence of infinite clusters. As a consequence of this, we find that the plus measure for the Ising model on a tree at sufficiently low temperatures can be mapped, via a local stochastic transformation, into a measure which fails to be almost surely quasilocal.
- Sponsoring Organization:
- USDOE
- OSTI ID:
- 466711
- Journal Information:
- Journal of Statistical Physics, Vol. 84, Issue 5-6; Other Information: PBD: Sep 1996
- Country of Publication:
- United States
- Language:
- English
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