All Title Author
Keywords Abstract

Mathematics  2014 

Examples of DLR states which are not weak limits of finite volume Gibbs measures with deterministic boundary conditions

DOI: 10.1007/s10955-015-1211-3

Full-Text   Cite this paper   Add to My Lib

Abstract:

We review what is known about the structure of the set of weak limiting states of the Ising and Potts models at low enough temperature, and in particular we prove that the mixture $\frac12(\mu^\pm+\mu^\mp)$ of two reflection-symmetric Dobrushin states of the 3-dimensional Ising model at low enough temperature is a Gibbs state which is not a limit of finite-volume measures with deterministic boundary conditions. Finally we point out what the issues are in order to extend the analysis to the Potts model, and give a few conjectures.

Full-Text

comments powered by Disqus

Contact Us

service@oalib.com

QQ:3279437679

微信:OALib Journal