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The low-temperature phase of Kac-Ising models | | Anton Bovier
; Milos Zahradnik
; | | Date: |
6 May 1996 | | Subject: | cond-mat | | Abstract: | We analyse the low temperature phase of ferromagnetic Kac-Ising models in dimensions $dgeq 2$. We show that if the range of interactions is $g^{-1}$, then two disjoint translation invariant Gibbs states exist, if the inverse temperature $$ satisfies $-1geq g^k$ where $k=frac {d(1-e)}{(2d+1)(d+1)}$, for any $e>0$. The prove involves the blocking procedure usual for Kac models and also a contour representation for the resulting long-range (almost) continuous spin system which is suitable for the use of a variant of the Peierls argument. | | Source: | arXiv, cond-mat/9605032 | | Services: | Forum | Review | PDF | Favorites | |
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