Abstract
We investigate the phenomenon of “entropic repulsion” of interfaces in the low temperature Ising model. We study the Gibbs states in the half-space of Z d , d ≥ 3, analogously to the simplified situations of the solid-on-solid model (Bricmont, Mellouki and Frohlich 1986) and the “interface model” (Melichercik 1991). Our method is based on the Pirogov-Sinai theory and on a detailed study of cluster expansions. The crucial step consists in an estimate of some “metastable” partition sums corresponding to different heights of the interface. We formulate the basic estimate (2) and indicate its proof here.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
