Chaotic repellers in the antiferromagnetic Ising model

DOI10.1016/0375-9601(96)00176-4zbMath0972.82511arXivcond-mat/9508137OpenAlexW2055471639MaRDI QIDQ1967857

Yanyan Li

Publication date: 7 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/9508137

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical aspects of statistical mechanics (37A60)

Related Items (4)

Superstable cycles and magnetization plateaus for antiferromagnetic spin-1 Ising and Ising-Heisenberg models on diamond chains ⋮ One-dimensional mapping, modulated phases and Lyapunov exponent for the antiferromagnetic \(Q\)-state Potts and multi-site exchange interaction Ising models ⋮ KAGOME APPROXIMATION FOR ³He ON HUSIMI LATTICE WITH TWO- AND THREE-SITE EXCHANGE INTERACTIONS ⋮ Phase diagrams of the Ising model on the two-fold Cayley tree: phase transition through doubling bifurcation

Cites Work

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• A two-dimensional mapping with a strange attractor
• The entropy function for characteristic exponents
• Phase diagrams of Ising models on Husimi trees. II: Pair and multisite interaction systems
• Repeller structure in a hierarchical model. II: Metric properties
• Towards the Statistical Mechanics of Chaos
• Duality properties of a general vertex model
• Tricritical phenomena in a Z(3) lattice gauge theory
• Some Basic Definitions in Graph Theory

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