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An analyticity bound for two-dimensional Ising model at low temperature
Authors:Pierluigi Contucci
Institution:(1) International School for Advanced Studies, I-34014 Trieste, Italy;(2) Dipartimento di Fisica, Gruppo CAM, Universitá di Roma ldquoLa Sapienza,rdquo, I-00185 Rome, Italy
Abstract:We study the coexistence phase in the two-dimensional Ising model. Optimizing the cluster expansion technique, we are able to prove the phase separation phenomenon, with the Onsager value for the surface tension, in a range 
$$\beta > \bar \beta$$
, where 
$$\bar \beta$$
estimates from above the critical beta within 19% and essentially coincides with the entropic bound.
Keywords:Cluster expansion  polymer systems
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