The low-temperature phase of Kac-Ising models
نویسندگان
چکیده
منابع مشابه
The Low–Temperature Phase of Kac–Ising Models
We analyse the low temperature phase of ferromagnetic Kac-Ising models in dimensions d ≥ 2. We show that if the range of interactions is γ−1, then two disjoint translation invariant Gibbs states exist, if the inverse temperature β satisfies β − 1 ≥ γ, where κ = d(1−2) (2d+2)(d+1) , for any 2 > 0. The prove involves the blocking procedure usual for Kac models and also a contour representation fo...
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متن کاملar X iv : c on d - m at / 9 60 50 32 v 1 6 M ay 1 99 6 THE LOW - TEMPERATURE PHASE OF KAC - ISING MODELS
We analyse the low temperature phase of ferromagnetic Kac-Ising models in dimensions d ≥ 2. We show that if the range of interactions is γ, then two disjoint translation invariant Gibbs states exist, if the inverse temperature β satisfies β − 1 ≥ γ, where κ = d(1−ǫ) (2d+1)(d+1) , for any ǫ > 0. The prove involves the blocking procedure usual for Kac models and also a contour representation for ...
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ژورنال
عنوان ژورنال: Journal of Statistical Physics
سال: 1997
ISSN: 0022-4715,1572-9613
DOI: 10.1007/bf02181490