Ground states and Gibbs measures of Ising model with competing interactions and an external field on a Cayley tree
DOI10.1007/S10955-023-03129-ZzbMath1515.82013arXiv2303.03045MaRDI QIDQ6175448
Muzaffar Rahmatullaev, Muhayyo A. Rasulova, Javohir N. Asqarov
Publication date: 24 July 2023
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2303.03045
ground stateCayley treeGibbs measurePeierls conditioncontour argumentIsing model with competing interactions and an external field
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Classical equilibrium statistical mechanics (general) (82B05) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)
Cites Work
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- Weakly periodic ground states and Gibbs measures for the Ising model with competing interactions on the Cayley tree
- On Ising model with four competing interactions on Cayley tree
- On Gibbs measures of models with competing ternary and binary interactions and corresponding von Neumann algebras
- Potts model with competing interactions on the Cayley tree: The contour method
- A contour method on Cayley trees
- A constructive description of ground states and Gibbs measures for Ising model with two-step interactions on Cayley tree
- On \(q\)-component models on Cayley tree: contour method
- Periodic Gibbs measures for the Ising model with competing interactions
- Extremal inhomogeneous Gibbs states for SOS-models and finite-spin models on trees
- Gibbs Measures on Cayley Trees
- On new weakly periodic Gibbs measures of Ising model on a Cayley tree
- Gibbs States on Countable Sets
- An Ising model with three competing interactions on a Cayley tree
- Onq-component models on the Cayley tree: the general case
- Ground states for the ising model with an external field on the Cayley tree
- On Ising's model of ferromagnetism
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