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One-dimensional caricature of phase transition
Authors:Roberto H Schonmann  Nelson I Tanaka
Institution:(1) Instituto de Matemátíca e Estatistica, Universidade de São Paulo, 01498 São Paulo-SP, Brazil
Abstract:In the limit as the volume grows and the temperature vanishes, it is shown that the one-dimensional nearest neighbor ferromagnetic Ising model presents a sharp transition between two different regimes. Fluctuations are studied in one of these regimes and also in the critical case.
Keywords:Ising model  zero-temperature limit  sharp transition  fluctuations  criticality
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