Electronic Resource
Springer
Journal of statistical physics
35 (1984), S. 375-379
ISSN:
1572-9613
Keywords:
Cluster expansion
;
Gibbs fields
;
random boundary conditions
;
unbounded spin system
;
Peierls argument
;
classes of uniqueness of Gibbs fields
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract For the unbounded spin systems one cannot get cluster expansion if there exist large enough boundary values. A simple idea to avoid these difficulties is to prove that with probabilityp Λ→ 1 when Λ↑ℤ v there is a large subvolume Λ′ of Λ such that on ∂Λ′ all spin values do not exceed some fixed number. This gives a new method to prove uniqueness results for the unbounded spin systems generalizing some results of Refs. 1 and 2. The formulations of these results are in Section 1; the proofs are in Section 2.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01014390
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