Abstract
We consider the problem of phase separations in Ising model with free boundary condition. We prove that-a typical configuration has just one open contour λ which separatesV into two parts which are occupied by the opposite phases. λ is the shortest possible contour compatible with the condition thatV is divided by λ into two regions of area p¦V¦ and (1-p)V¦.
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Kuroda, K. Phase separations in Ising model with free boundary condition. J Stat Phys 30, 1–13 (1983). https://doi.org/10.1007/BF01010865
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DOI: https://doi.org/10.1007/BF01010865