Periodic and weakly periodic ground states for the Potts model with competing interactions on the Cayley tree

DOI10.3103/S1055134416030056zbMath1374.82009MaRDI QIDQ2959178

M. A. Rasulova, Muzaffar Rahmatullaev

Publication date: 9 February 2017

Published in: Siberian Advances in Mathematics (Search for Journal in Brave)

zbMATH Keywords

Cayley treePotts modelperiodic and weakly periodic ground states

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Applications of linear algebraic groups to the sciences (20G45)

Related Items (5)

Periodic ground states for the Potts model with external field and a countable set of spin values on the Cayley tree ⋮ Periodic and weakly periodic ground states corresponding to the subgroups of index three for the Ising model on the Cayley tree of order three ⋮ Unnamed Item ⋮ Ground states for the Potts model with competing interactions and a countable set of spin values on a Cayley tree ⋮ Invariance property on group representations of the Cayley tree and its applications

Cites Work

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• Weakly periodic ground states and Gibbs measures for the Ising model with competing interactions on the Cayley tree
• Weakly periodic Gibbs measures and ground states for the Potts model with competing interactions on the Cayley tree
• Potts model with competing interactions on the Cayley tree: The contour method
• Gibbs Measures on Cayley Trees
• On new weakly periodic Gibbs measures of Ising model on a Cayley tree

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