Uniqueness and nonuniqueness conditions for weakly periodic Gibbs measures for the hard-core model

DOI10.1134/S0040577920080073zbMath1454.82015OpenAlexW3080272619MaRDI QIDQ2214768

M. T. Makhammadaliev, R. M. Khakimov

Publication date: 10 December 2020

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0040577920080073

zbMATH Keywords

configurationCayley treeGibbs measurehard-core modeltranslation-invariant measureperiodic measureweakly periodic measure

Mathematics Subject Classification ID

Trees (05C05) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Statistical thermodynamics (82B30)

Related Items (3)

A HC model with countable set of spin values: Uncountable set of Gibbs measures ⋮ Gibbs measures for HC-model with a cuountable set of spin values on a Cayley tree ⋮ New class of Gibbs measures for two-state hard-core model on a Cayley tree

Cites Work

• Unnamed Item
• Unnamed Item
• The uniqueness condition for a weakly periodic Gibbs measure for the hard-core model
• Gibbs measures for the fertile three-state hard-core models on a Cayley tree
• Translation-invariant Gibbs measures for fertile three-state ``hard core models on a Cayley tree
• A hard-core model on a Cayley tree: an example of a loss network
• Description of weakly periodic Gibbs measures for the Ising model on a Cayley tree
• Fertile HC models with three states on a Cayley tree
• Gibbs measures and phase transitions
• Random surfaces with two-sided constraints: An application of the theory of dominant ground states
• Description of periodic extreme Gibbs measures of some lattice models on the Cayley tree
• On the purity of the limiting Gibbs state for the Ising model on the Bethe lattice.
• Weakly periodic Gibbs measures for HC-models on Cayley trees
• Weakly periodic Gibbs measures in the HC-model for a normal divisor of index four
• Uniqueness of weakly periodic Gibbs measure for HC-models
• Gibbs Measures on Cayley Trees
• On Pure Phases of the Ising Model on the Bethe Lattices
• Gibbs States on Countable Sets
• Quadratic transformations: a model for population growth. I
• Weakly periodic Gibbs measures for two and three state HC models on a Cayley tree
• A Three State Hard-Core Model on a Cayley Tree

This page was built for publication: Uniqueness and nonuniqueness conditions for weakly periodic Gibbs measures for the hard-core model