Chaotic Spin Correlations in Frustrated Ising Hierarchical Lattices

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dc.creatorAral, Neşe
dc.creatorBerker, A. Nihat
dc.date2008-10-25
dc.date2009-03-15
dc.date.accessioned2026-07-07T12:52:07Z
dc.date.available2026-07-07T12:52:07Z
dc.descriptionSpin-spin correlations are calculated in frustrated hierarchical Ising models that exhibit chaotic renormalization-group behavior. The spin-spin correlations, as a function of distance, behave chaotically. The far correlations, but not the near correlations, are sensitive to small changes in temperature or frustration, with temperature changes having a larger effect. On the other hand, the calculated free energy, internal energy, and entropy are smooth functions of temperature. The recursion-matrix calculation of thermodynamic densities in a chaotic band is demonstrated. The leading Lyapunov exponents are calculated as a function of frustration.
dc.descriptionExpanded figure with new calculations, added Lyapunov exponent proof for correlations. 5 pages, 7 figures. Published version
dc.identifierhttps://arxiv.org/abs/0810.4586
dc.identifierhttp://arxiv.org/abs/0810.4586
dc.identifierPhys. Rev. B 79, 014434 (2009)
dc.identifierdoi:10.1103/PhysRevB.79.014434
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/223202
dc.subjectDisordered Systems and Neural Networks
dc.subjectStatistical Mechanics
dc.titleChaotic Spin Correlations in Frustrated Ising Hierarchical Lattices
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