The distribution of clusters for the Ising model |
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| Authors: | F. Delyon |
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| Affiliation: | (1) Centre de Physique Théorique de L'Ecole Polytechnique, Plateau de Palaiseau, Palaiseau, France |
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| Abstract: | ![]()
We rigorously prove that the probabilityPn for the origin to belong to a cluster of exactlyn positive spins in thev-dimensional Ising model behaves as exp(– n(v – 1)/v) in various regions, including in particular the low-temperature positive and negative phases in zero magnetic field. |
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| Keywords: | Ising model percolation cluster size distribution FKG inequalities |
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