Discontinuity of the magnetization in one-dimensional \(1/| x-y| ^ 2\) Ising and Potts models.

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Publication:1963618

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DOI10.1007/BF01022985zbMath1084.82514MaRDI QIDQ1963618

Charles M. Newman, Lincoln Chayes, Jennifer T. Chayes, Michael Aizenman

Publication date: 2 February 2000

Published in: Journal of Statistical Physics (Search for Journal in Brave)

zbMATH Keywords

percolation Ising model Potts models Fortuin-Kasteleyn representation \(1/r^2\) interactions one dimension discontinuous transition Thouless effect

Mathematics Subject Classification ID

Interface problems; diffusion-limited aggregation arising in equilibrium statistical mechanics (82B24) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

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