Lack of monotonicity in ferromagnetic Ising model phase diagrams
Schonmann, Roberto H. ; Tanaka, Nelson I.
Ann. Appl. Probab., Tome 8 (1998) no. 1, p. 234-245 / Harvested from Project Euclid
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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).
Publié le : 1998-02-14
Classification:  Ising model,  ferromagnetism,  graphs,  phase diagram,  monotonicity,  reentrance transition,  60K35,  82B27 
@article{1027961042,
     author = {Schonmann, Roberto H. and Tanaka, Nelson I.},
     title = {Lack of monotonicity in ferromagnetic Ising model phase
		 diagrams},
     journal = {Ann. Appl. Probab.},
     volume = {8},
     number = {1},
     year = {1998},
     pages = { 234-245},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1027961042}
}

Schonmann, Roberto H.; Tanaka, Nelson I. Lack of monotonicity in ferromagnetic Ising model phase
		 diagrams. Ann. Appl. Probab., Tome 8 (1998) no. 1, pp.  234-245. http://gdmltest.u-ga.fr/item/1027961042/