Ground states for the ising model with an external field on the Cayley tree

DOI10.29229/UZMJ.2018-3-15zbMath1474.82008OpenAlexW2904119184WikidataQ128740669 ScholiaQ128740669MaRDI QIDQ5002042

M. A. Rasulova, Muzaffar Rahmatullaev

Publication date: 26 July 2021

Published in: Uzbek Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.29229/uzmj.2018-3-15

zbMATH Keywords

Ising modelCayley treeexternal fieldperiodic external fieldcongurationtranslation-invariant external fieldperiodic ground statetranslation-invariant ground state

Mathematics Subject Classification ID

Trees (05C05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Phase transitions (general) in equilibrium statistical mechanics (82B26)

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Ground states and Gibbs measures of Ising model with competing interactions and an external field on a Cayley tree

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