A dynamical system approach to phase transitions for \(p\)-adic Potts model on the Cayley tree of order two

DOI10.1016/S0034-4877(12)60053-6zbMath1271.82018MaRDI QIDQ1942980

Farrukh Mukhamedov

Publication date: 14 March 2013

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

fixed pointsphase transitionCayley tree\(p\)-adic numbersPotts modelbasins of attraction\(p\)-adic quasi Gibbs measure\(p\)-adic dynamical systemnon-Archimedan geometry

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Difference operators (39A70) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26)

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