First-order to second-order phase transition changeover and latent heats of q-state Potts models in d=2,3 from a simple Migdal-Kadanoff adaptation

Devre, H. YagizBerker, A. Nihat2023-10-192023-10-19202282470-00452470-0053https://doi.org/10.1103/PhysRevE.105.054124https://hdl.handle.net/20.500.12469/5075The changeover from first-order to second-order phase transitions in q-state Potts models is obtained at q(c) = 2 in spatial dimension d = 3 and essentially at q(c) = 4 in d = 2, using a physically intuited simple adaptation of the Migdal-Kadanoff renormalization-group transformation. This simple procedure yields the latent heats at the first-order phase transitions. In both d = 2 and 3, the calculated phase transition temperatures, respectively compared with the exact self-duality and Monte Carlo results, are dramatically improved. The method, when applied to a slab of finite thickness, yields dimensional crossover.eninfo:eu-repo/semantics/openAccessHierarchical LatticesSpin SystemsRenormalizationDimensionsHierarchical LatticesSpin SystemsRenormalizationDimensionsFirst-order to second-order phase transition changeover and latent heats of q-state Potts models in d=2,3 from a simple Migdal-Kadanoff adaptationArticle5105WOS:00082792530000110.1103/PhysRevE.105.0541242-s2.0-85131310412Q1Q135706195