Uniqueness of weakly periodic Gibbs measure for HC-models

DOI10.1134/S0001434613110199zbMath1294.82008OpenAlexW1994994533MaRDI QIDQ2439990

R. M. Khakimov

Publication date: 26 March 2014

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

Full work available at URL: https://doi.org/10.1134/s0001434613110199

zbMATH Keywords

Cayley treeweakly periodic Gibbs measureHamiltonian hard-core modellimit Gibbs measure

Mathematics Subject Classification ID

Trees (05C05) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Convergence of probability measures (60B10)

Related Items

Extremality of some Gibbs measures for the Blume–Capel HC-model on a Cayley tree, Gibbs measures for fertile hard-core models on the Cayley tree, Weakly periodic Gibbs measures for HC-models on Cayley trees, Extremality of Gibbs measures for the \(HC\)-Blume-Capel model on the Cayley tree, Unnamed Item, Weakly periodic Gibbs measures in the HC-model for a normal divisor of index four, Periodic Gibbs measures and their extremes for the HC-Blume-Capel model in the case of a ``wand on the Cayley tree, Gibbs periodic measures for a two-state HC-model on a Cayley tree, New class of Gibbs measures for two-state hard-core model on a Cayley tree, Uniqueness and nonuniqueness conditions for weakly periodic Gibbs measures for the hard-core model, Translation-invariant Gibbs measures for fertile three-state ``hard core models on a Cayley tree

Cites Work

• Unnamed Item
• A hard-core model on a Cayley tree: an example of a loss network
• Weakly periodic ground states and Gibbs measures for the Ising model with competing interactions on the Cayley tree
• Description of periodic extreme Gibbs measures of some lattice models on the 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