One-dimensional mapping, modulated phases and Lyapunov exponent for the antiferromagnetic \(Q\)-state Potts and multi-site exchange interaction Ising models

DOI10.1016/j.physd.2010.05.007zbMath1211.37096OpenAlexW2016340817MaRDI QIDQ1957113

N. S. Ananikian, L. N. Ananikyan, V. V. Hovhannisyan, Roberto Artuso

Publication date: 24 September 2010

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2010.05.007

zbMATH Keywords

lattice theoryLyapunov exponentnonlinear dynamics and chaosclassical spin modelsantiferromagnetics

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Statistical mechanics of magnetic materials (82D40)

Related Items

Magnetic properties, Lyapunov exponent and superstability of the spin-\(\frac{1}{2}\) Ising-Heisenberg model on a diamond chain ⋮ Superstable cycles for antiferromagnetic \(Q\)-state Potts and three-site interaction Ising models on recursive lattices

Cites Work

• Unnamed Item
• Correlation inequalities on some partially ordered sets
• Products of random matrices in statistical physics
• Chaotic repellers in the antiferromagnetic Ising model
• Analytical study of the superstable 3-cycle in the logistic map
• Abelian sandpile model on the Husimi lattice of square plaquettes
• Small denominators. I. Mappings of the circumference onto itself