On the existence of phase transition for the 1D \(p\)-adic countable state Potts model

DOI10.1134/S0001434615070305zbMath1331.82016MaRDI QIDQ887503

Farrukh Mukhamedov

Publication date: 26 October 2015

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

phase transitionsMarkov processCayley treeGibbs measure\(p\)-adic numbersPotts modelcountable state

Mathematics Subject Classification ID

Trees (05C05) Continuous-time Markov processes on general state spaces (60J25) Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (1)

ON A GENERALIZED SELF-SIMILARITY IN THE p-ADIC FIELD

Cites Work

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• On the existence of generalized Gibbs measures for the one-dimensional \(p\)-adic countable state Potts model
• On Gibbs measures of \(p\)-adic Potts model on the Cayley tree.
• A dynamical system approach to phase transitions for \(p\)-adic Potts model on the Cayley tree of order two
• On \(P\)-adic \(\lambda\)-model on the Cayley tree. II: Phase transitions
• \(p\)-adic valued probability measures
• On P-adic λ-model on the Cayley tree
• Onp-adic Gibbs measures of the countable state Potts model on the Cayley tree

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