Phase diagrams of Ising models on Husimi trees. I: Pure multisite interaction systems

DOI10.1007/BF01329860zbMath0935.82517OpenAlexW2072189510MaRDI QIDQ1279162

James L. Monroe

Publication date: 9 May 2000

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01329860

zbMATH Keywords

chaosdynamical systemsbifurcationIsing modelsHusimi tree

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) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical aspects of statistical mechanics (37A60)

Related Items (13)

Spin-1 Ising model on tetrahedron recursive lattices: exact results ⋮ Influence of multisite interaction on thermodynamics and ground-state degeneracies of frustrated magnetic systems with pyrochlore structure: an exact theoretical analysis ⋮ Evidence for the ferromagnetic frustration in a classical spin-\(1/2\) system with multisite interaction in external magnetic field: exact results ⋮ Antiferromagnetic geometric frustration under the influence of the next-nearest-neighbor interaction. An exactly solvable model ⋮ Relevance of recursive lattice approximations for description of frustrated magnetic systems: star Kagome-like recursive lattice approximation ⋮ MAGNETIZATION PLATEAUS ON THE ZIGZAG LADDER WITH TWO-, AND THREE-SITE EXCHANGES ⋮ Magnetization and Lyapunov exponents on a kagome chain with multi-site exchange interaction ⋮ The Ising model on pure Husimi lattices: a general formulation and the critical temperatures ⋮ Phase diagrams of Ising models on Husimi trees. II: Pair and multisite interaction systems ⋮ The first order phase transitions in the multisite spin-\(1 / 2\) model on a pure Husimi lattice ⋮ The second order phase transitions of the Ising model on tetrahedron recursive lattices: exact results ⋮ First order phase transitions in the antiferromagnetic Ising model on a pure Husimi lattice ⋮ Correlation Functions of the Ising Model with Multisite Interaction on the Husimi Lattice

Cites Work

• Unnamed Item
• An exactly soluble lattice model of the fluid-solid transition
• Some Basic Definitions in Graph Theory
• Statistical Theory of Equations of State and Phase Transitions. I. Theory of Condensation

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