Description of periodic extreme Gibbs measures of some lattice models on the Cayley tree
From MaRDI portal
Publication:1294847
DOI10.1007/BF02634202zbMath0964.82504OpenAlexW2078259750MaRDI QIDQ1294847
Nasir N. Ganikhodjaev, Utkir A. Rozikov
Publication date: 3 July 2001
Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02634202
group representationCayley treeGibbs measuresBethe latticeantiferromagnetic Potts modelantiferromagnetic Ising model
Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)
Related Items
On contour arguments for the three state Potts model with competing interactions on a semi-infinite Cayley tree, Gibbs measures for fertile hard-core models on the Cayley tree, Weakly periodic Gibbs measures for HC-models on Cayley trees, New normal subgroups for the group representation of the Cayley tree, A \(p\)-adic hard-core model with three states on a Cayley tree, Positive fixed points of quadratic operators and Gibbs measures, On dynamical systems and phase transitions for \(q + 1\)-state \(p\)-adic Potts model on the Cayley tree, Uniqueness of Gibbs measure for models with uncountable set of spin values on a Cayley tree, Weakly periodic Gibbs measures of the Ising model on the Cayley tree of order five and six, An Ising model with three competing interactions on a Cayley tree, Nonuniqueness of a Gibbs measure for a model on the Cayley tree, Unnamed Item, A description of harmonic functions via properties of the group representation of the Cayley tree., Periodic Gibbs measures for the Potts model in translation-invariant and periodic external fields on the Cayley tree, Phase transitions for a model with uncountable set of spin values on a Cayley tree, A multi-dimensional-time dynamical system, The uniqueness condition for a weakly periodic Gibbs measure for the hard-core model, Weakly periodic Gibbs measures in the HC-model for a normal divisor of index four, On $(k_0)$-translation-invariant and $(k_0)$-periodic Gibbs measures for Potts model on Cayley tree, Holliday junctions in the set of DNA molecules for new translation-invariant Gibbs measures of the Potts model, Periodic and weakly periodic ground states corresponding to the subgroups of index three for the Ising model on the Cayley tree of order three, Gibbs periodic measures for a two-state HC-model on a Cayley tree, A new set of limiting Gibbs measures for the Ising model on a Cayley tree, New class of Gibbs measures for two-state hard-core model on a Cayley tree, New weakly periodic Gibbs measures of Ising model on Cayley tree, On free energies of the Ising model on the Cayley tree, Non-robust phase transitions in the generalized clock model on trees, Non-uniqueness of Gibbs measure for models with uncountable set of spin values on a Cayley tree, Translation-invariant extreme Gibbs measures for the Blume-Capel model withwand on a Cayley tree, Uniqueness of weakly periodic Gibbs measure for HC-models, Weakly periodic ground states for the \(\lambda \)-model, Description of \(p\)-harmonic functions on the Cayley tree, Uniqueness and nonuniqueness conditions for weakly periodic Gibbs measures for the hard-core model, Localization of translation-invariant Gibbs measures for the Potts and ``solid-on-solid models on a Cayley tree, Periodic Gibbs measures for the Potts model on the Cayley tree, Weakly periodic Gibbs measures and ground states for the Potts model with competing interactions on the Cayley tree, Exact solution of a generalized ANNNI model on a Cayley tree, A Three State Hard-Core Model on a Cayley Tree, On weakly periodic Gibbs measures for the Potts model with external field on the Cayley tree, Phase transitions forp-adic Potts model on the Cayley tree of order three, Ising model on Cayley trees: a new class of Gibbs measures and their comparison with known ones, Translation-invariant Gibbs measures for fertile three-state ``hard core models on a Cayley tree, Gibbs measures for a generalized Potts model with the interaction radius two on a Cayley tree, Description of weakly periodic Gibbs measures for the Ising model on a Cayley tree, GIBBS MEASURES ON CAYLEY TREES: RESULTS AND OPEN PROBLEMS, Potts model with competing interactions on the Cayley tree: The contour method, A contour method on Cayley trees, Description of periodic \(p\)-harmonic functions on Cayley tree, New classes of ground states for the Potts model with random competing interactions on a Cayley tree, The existence of weakly periodic Gibbs measures for the Potts model on a Cayley tree, Nonuniqueness of a Gibbs measure for the Ising ball model, On a generalized \(p\)-adic Gibbs measure for Ising model on trees, The disordered phase of the inhomogeneous Potts model in extremal on the Cayley tree, A constructive description of ground states and Gibbs measures for Ising model with two-step interactions on Cayley tree, Translation invariance of the periodic Gibbs measures for the Potts model on the Cayley tree, Weakly periodic Gibbs measures for the Ising model on the Cayley tree of order \(k=2\), A weakly periodic Gibbs measure for the ferromagnetic Potts model on a Cayley tree, Fertile HC models with three states on a Cayley tree, On the constructive description of Gibbs measures for the Potts model on a Cayley tree, On Ising model with four competing interactions on Cayley tree, Periodic and weakly periodic ground states corresponding to subgroups of index three for the Ising model on Cayley tree, Construction of an uncountable number of limiting Gibbs measures in the inhomogeneous Ising model, Ising model on the Cayley tree of second order with left and right interactions, GIBBS MEASURES FOR SOS MODELS ON A CAYLEY TREE, Partition structures of the group representation of the Cayley tree into cosets by finite-index normal subgroups and their applications to the description of periodic Gibbs distributions, Gibbs measures for the SOS model with four states on a Cayley tree, Positive Fixed Points of Cubic Operators on R² and Gibbs Measures, Von Neumann algebras generated by translation-invariant Gibbs states of the Ising model on a Bethe lattice, Gibbs measures of Potts model on Cayley trees: A survey and applications
Cites Work