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Percolation and phase transitions in the Ising model

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Abstract

We give a description of the mechanism of phase transitions in the Ising model, pointing out the connection between the spontaneous magnetization and the existence of infinite clusters of “up” and “down” spins. The picture is more complete in the two-dimensional Ising model, where we can also use a generalized version of a result by Miyamoto.

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Communicated by G. Gallavotti

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Coniglio, A., Nappi, C.R., Peruggi, F. et al. Percolation and phase transitions in the Ising model. Commun.Math. Phys. 51, 315–323 (1976). https://doi.org/10.1007/BF01617925

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  • DOI: https://doi.org/10.1007/BF01617925

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