Poisson approximation for large contours in low-temperature Ising models
نویسندگان
چکیده
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15 صفحه اولThe 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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ژورنال
عنوان ژورنال: Physica A: Statistical Mechanics and its Applications
سال: 2000
ISSN: 0378-4371
DOI: 10.1016/s0378-4371(99)00536-1