Changeover phenomenon in randomly colored Potts models. (1st April 2022)

• Record Type: Journal Article
• Authors: Schreiber, Nir; Cohen, Reuven; Amir, Gideon; Haber, Simi
• Is Part Of: Journal of statistical mechanics. (2022:Apr.)
• Publication Date: 2022-04-01
• Subjects: classical phase transitions -- exact results -- phase diagrams; Statistical mechanics -- Periodicals; Mechanics -- Statistical methods -- Periodicals; 530.1305
• DOI: 10.1088/1742-5468/ac603a
• Languages: English
• ISSNs: 1742-5468

Abstract

Abstract: A hybrid Potts model where a random concentration p of the spins assume q 0 states and a random concentration 1 − p of the spins assume q > q 0 states is introduced. It is known that when the system is homogeneous, with an integer spin number q 0 or q, it undergoes a second or a first order transition, respectively. It is argued that there is a concentration p * such that the transition nature of the model is changed at p *. This idea is demonstrated analytically and by simulations for two different types of interaction: the usual square lattice nearest neighboring and mean field (MF) all-to-all. Exact expressions for the second order critical line in concentration-temperature parameter space of the MF model together with some other related critical properties, are derived.