Phase Transition of Laminated Models at Any Temperature
Mathematical Physics
2010-02-19 v1 math.MP
Abstract
The standard Pirogov -- Sinai theory is generalized to the class of models with two modes of interaction: longitudinal and transversal. Under rather general assumptions about the longitudinal interaction and for one specific form of the transversal interaction it is proved that such system has a variety of phase transitions at any temperature: the parameter which plays the role of inverse temperature is the strength of the transversal interaction. The concrete examples of such systems are -dimensional models.
Cite
@article{arxiv.1002.3544,
title = {Phase Transition of Laminated Models at Any Temperature},
author = {Eugene Pechersky and Elena Petrova and Sergey Pirogov},
journal= {arXiv preprint arXiv:1002.3544},
year = {2010}
}