On Gibbs measures of models with competing ternary and binary interactions and corresponding von Neumann algebras
From MaRDI portal
Publication:1777775
DOI10.1023/B:JOSS.0000012509.10642.83zbMath1061.82007OpenAlexW4238313887MaRDI QIDQ1777775
Utkir A. Rozikov, Farrukh Mukhamedov
Publication date: 25 May 2005
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/b:joss.0000012509.10642.83
Noncommutative dynamical systems (46L55) 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 (34)
On contour arguments for the three state Potts model with competing interactions on a semi-infinite Cayley tree ⋮ Entropy of quantum Markov states on Cayley trees ⋮ Open Quantum Random Walks and Quantum Markov chains on Trees I: Phase transitions ⋮ Phase transitions for quantum Markov chains associated with Ising type models on a Cayley tree ⋮ On an algebraic property of the disordered phase of the Ising model with competing interactions on a Cayley tree ⋮ Diagonalizability of quantum Markov states on trees ⋮ Four competing interactions for models with an uncountable set of spin values on a Cayley tree ⋮ Recurrence of a class of quantum Markov chains on trees ⋮ Periodic and weakly periodic ground states corresponding to the subgroups of index three for the Ising model on the Cayley tree of order three ⋮ Tree-homogeneous quantum Markov chains ⋮ Ground states and Gibbs measures of Ising model with competing interactions and an external field on a Cayley tree ⋮ Periodic ground states for the mixed spin Ising model with competing interactions on a Cayley tree ⋮ On quantum Markov chains on Cayley tree. II: Phase transitions for the associated chain with \(XY\)-model on the Cayley tree of order three ⋮ On quantum Markov chains on Cayley tree. III: Ising model ⋮ A quantum Markov chain approach to phase transitions for quantum Ising model with competing XY-interactions on a Cayley tree ⋮ Quantum Markov states on Cayley trees ⋮ Types of factors generated by quantum Markov states of Ising model with competing interactions on the Cayley tree ⋮ Refinement of quantum Markov states on trees ⋮ 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 ⋮ On Gibbs measures of models with competing ternary and binary interactions and corresponding von Neumann algebras. II ⋮ A constructive description of ground states and Gibbs measures for Ising model with two-step interactions on Cayley tree ⋮ Weakly periodic Gibbs measures for the Ising model on the Cayley tree of order \(k=2\) ⋮ Quantum Markov chains on comb graphs: Ising model ⋮ ON INHOMOGENEOUS p-ADIC POTTS MODEL ON A CAYLEY TREE ⋮ Onq-component models on the Cayley tree: the general case ⋮ 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 ⋮ Uniqueness of quantum Markov chains associated with an \(XY\)-model on a Cayley tree of order 2 ⋮ Gibbs measures for the SOS model with four states on a Cayley tree ⋮ On \(q\)-component models on Cayley tree: contour method ⋮ A Class of Quantum Markov Fields on Tree-like Graphs: Ising-type Model on a Husimi Tree
This page was built for publication: On Gibbs measures of models with competing ternary and binary interactions and corresponding von Neumann algebras
