Ising models on hyperbolic graphs

C. Chris Wu

doi:10.1007/BF02175564

Ising models on hyperbolic graphs

C. Chris Wu

Penn State Beaver

Research output: Contribution to journal › Article › peer-review

29 Scopus citations

Abstract

We consider Ising models on a hyperbolic graph which, loosely speaking, is a discretization of the hyperbolic plane H² in the same sense as Z^d is a discretization of R^d. We prove that the models exhibit multiple phase transitions. Analogous results for Potts models can be obtained in the same way.

Original language	English (US)
Pages (from-to)	251-259
Number of pages	9
Journal	Journal of Statistical Physics
Volume	85
Issue number	1-2
DOIs	https://doi.org/10.1007/BF02175564
State	Published - Oct 1996

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF02175564

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title = "Ising models on hyperbolic graphs",

abstract = "We consider Ising models on a hyperbolic graph which, loosely speaking, is a discretization of the hyperbolic plane H2 in the same sense as Zd is a discretization of Rd. We prove that the models exhibit multiple phase transitions. Analogous results for Potts models can be obtained in the same way.",

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AB - We consider Ising models on a hyperbolic graph which, loosely speaking, is a discretization of the hyperbolic plane H2 in the same sense as Zd is a discretization of Rd. We prove that the models exhibit multiple phase transitions. Analogous results for Potts models can be obtained in the same way.

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Ising models on hyperbolic graphs

Abstract

All Science Journal Classification (ASJC) codes

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