Abstract
The Curie–Weiss Potts model is a mean field version of the well-known Potts model. In this model, the critical line β = β c ( h ) is explicitly known and corresponds to a first-order transition when q > 2 . In the present paper we describe the fluctuations of the density vector in the whole domain β ⩾ 0 and h ⩾ 0 , including the conditional fluctuations on the critical line and the non-Gaussian fluctuations at the extremity of the critical line. The probabilities of each of the two thermodynamically stable states on the critical line are also computed. Similar results are inferred for the random-cluster model on the complete graph.
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.
