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A Monotonicity Result for Hard-core and Widom-Rowlinson Models on Certain $d$-dimensional Lattices

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	A Monotonicity Result for Hard-core and Widom-Rowlinson Models on Certain $d$-dimensional Lattices
2.	Creator	Author's name, affiliation, country	Olle Häggström; Chalmers University of Technology and Goteborg University
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	Hard-core model, Widom-Rowlinson model, Gibbsmeasures, monotonic phase transition, site-random-cluster model.
3.	Subject	Subject classification	60K35 82B20 82B26
4.	Description	Abstract	For each $d\geq 2$, we give examples of $d$-dimensional periodic lattices on which the hard-core and Widom-Rowlinson models exhibit a phase transition which is monotonic, in the sense that there exists a critical value $\lambda_c$ for the activity parameter $\lambda$, such that there is a unique Gibbs measure (resp. multiple Gibbs measures) whenever $\lambda$ is less than $\lambda_c$ (resp. $\lambda$ greater than $\lambda_c$). This contrasts with earlier examples of such lattices, where the phase transition failed to be monotonic. The case of the cubic lattice $Z^d$ remains an open problem.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)
7.	Date	(YYYY-MM-DD)	2002-02-02
8.	Type	Status & genre	Peer-reviewed Article
8.	Type	Type
9.	Format	File format	PDF
10.	Identifier	Uniform Resource Identifier	http://ecp.ejpecp.org/article/view/1048
10.	Identifier	Digital Object Identifier	10.1214/ECP.v7-1048
11.	Source	Journal/conference title; vol., no. (year)	Electronic Communications in Probability; Vol 7
12.	Language	English=en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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