A contour method on Cayley trees

DOI10.1007/s10955-007-9455-1zbMath1214.82020arXivmath-ph/0611038OpenAlexW1979981499MaRDI QIDQ2482258

Utkir A. Rozikov

Publication date: 16 April 2008

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0611038

zbMATH Keywords

ground stateconfigurationCayley treeGibbs measurecontour method

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (17)

Weakly periodic ground states and Gibbs measures for the Ising model with competing interactions on the Cayley tree ⋮ Counting contours on trees ⋮ Nonuniqueness of a Gibbs measure for a model on the Cayley tree ⋮ Percolation on infinite graphs and isoperimetric inequalities ⋮ 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 ⋮ Extremal inhomogeneous Gibbs states for SOS-models and finite-spin models on trees ⋮ Periodic ground states of a Hamiltonian on a Cayley tree ⋮ Exact solution of a generalized ANNNI model on a Cayley tree ⋮ Phase transitions forp-adic Potts model on the Cayley tree of order three ⋮ Gibbs measures for a generalized Potts model with the interaction radius two on a Cayley tree ⋮ GIBBS MEASURES ON CAYLEY TREES: RESULTS AND OPEN PROBLEMS ⋮ Unnamed Item ⋮ Gradient Gibbs measures for the SOS model with countable values on a Cayley tree ⋮ Ground states for the Potts model with competing interactions and a countable set of spin values on a Cayley tree ⋮ Crossover between diffusion-limited and reaction-limited regimes in the coagulation–diffusion process ⋮ Gibbs measures of Potts model on Cayley trees: A survey and applications

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