Phase Diagrams and Crossover in Spatially Anisotropic d=3 Ising, XY Magnetic and Percolation Systems: Exact Renormalization-Group Solutions of Hierarchical Models

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dc.creatorErbas, A.
dc.creatorTuncer, A.
dc.creatorYucesoy, B.
dc.creatorBerker, A. N.
dc.date2005-06-28
dc.date2007-04-25
dc.date.accessioned2026-07-07T07:58:03Z
dc.date.available2026-07-07T07:58:03Z
dc.descriptionHierarchical lattices that constitute spatially anisotropic systems are introduced. These lattices provide exact solutions for hierarchical models and, simultaneously, approximate solutions for uniaxially or fully anisotropic d=3 physical models. The global phase diagrams, with d=2 and d=1 to d=3 crossovers, are obtained for Ising, XY magnetic models and percolation systems, including crossovers from algebraic order to true long-range order.
dc.description7 pages, 12 figures. Corrected typos, added publication information
dc.identifierhttps://arxiv.org/abs/cond-mat/0506716
dc.identifierhttp://arxiv.org/abs/cond-mat/0506716
dc.identifierPhys. Rev. E 72, 026129 (2005)
dc.identifierdoi:10.1103/PhysRevE.72.026129
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/127864
dc.subjectStatistical Mechanics
dc.titlePhase Diagrams and Crossover in Spatially Anisotropic d=3 Ising, XY Magnetic and Percolation Systems: Exact Renormalization-Group Solutions of Hierarchical Models
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