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February 1998 Lack of monotonicity in ferromagnetic Ising model phase diagrams
Roberto H. Schonmann, Nelson I. Tanaka
Ann. Appl. Probab. 8(1): 234-245 (February 1998). DOI: 10.1214/aoap/1027961042


We study patterns of the phase diagram of ferromagnetic Ising models on graphs under an external magnetic field. We provide an example of a tree with only two types of vertices on which for a range of values of the external field there is a unique Gibbs distribution at low enough and at high enough temperatures, while at intermediate temperatures there is phase coexistence (in other words, a reentrance transition takes place).


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Roberto H. Schonmann. Nelson I. Tanaka. "Lack of monotonicity in ferromagnetic Ising model phase diagrams." Ann. Appl. Probab. 8 (1) 234 - 245, February 1998.


Published: February 1998
First available in Project Euclid: 29 July 2002

zbMATH: 0948.60090
MathSciNet: MR1620366
Digital Object Identifier: 10.1214/aoap/1027961042

Primary: 60K35 , 82B27

Keywords: ferromagnetism , Graphs , Ising model , Monotonicity , phase diagram , reentrance transition

Rights: Copyright © 1998 Institute of Mathematical Statistics


Vol.8 • No. 1 • February 1998
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