Topological Disorder in Spin Models on Hierarchical Lattices

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dc.creatorAnanikian, N. S.
dc.creatorSargsyan, K. G.
dc.date2008-04-17
dc.date.accessioned2026-07-07T09:33:10Z
dc.date.available2026-07-07T09:33:10Z
dc.descriptionA general approach for the description of spin systems on hierarchial lattices with coordination number $q$ as a dynamical variable is proposed. The ferromagnetic Ising model on the Bethe lattice was studied as a simple example demonstrating our method. The annealed and partly annealed versions of disorder concerned with the lattice coordination number are invented and discussed. Recurrent relations are obtained for the evaluation of magnetization. The magnetization is calculated for the particular disorder choices, $q=2,3$ and $q=3,4$. A nontrivial localization of critical point is revealed.
dc.description6 pages, 2 figures. Submited to Phys. Rev. E
dc.identifierhttps://arxiv.org/abs/0804.2746
dc.identifierhttp://arxiv.org/abs/0804.2746
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159038
dc.subjectStatistical Mechanics
dc.subjectDisordered Systems and Neural Networks
dc.titleTopological Disorder in Spin Models on Hierarchical Lattices
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