Percolation and phase transitions in a class of random spin systems (Q2822210)
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scientific article; zbMATH DE number 6630269
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Percolation and phase transitions in a class of random spin systems |
scientific article; zbMATH DE number 6630269 |
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27 September 2016
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quenched and anneald magnets
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configuration space
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Gibbs measure
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continuum percolation
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Percolation and phase transitions in a class of random spin systems (English)
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The author gives a survey of recent results on the multiplicity of Gibbs states (phase transitions) in infinite spin systems of random configurations; see the author et al. [J. Stat. Phys. 156, No. 1, 156--176 (2014; Zbl 1298.82074); J. Math. Phys. 55, No. 8, 083513, 17 p. (2014; Zbl 1301.82021)]. A new exposition and extension are given for the Georgii-Häggström approach to percolation problems for a class of random point processes [\textit{H.-O. Georgii} and \textit{O. Häggström}, Commun. Math. Phys. 181, No. 2, 507--528 (1996; Zbl 0858.60098)].
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