Thermodynamical behavior of the Blume-Capel model in the vicinity of its tricritical point

DOI10.1016/J.PHYSA.2023.129145arXiv2305.13107OpenAlexW4385973212MaRDI QIDQ6061026

G. Camelo-Neto, Sérgio Coutinho, E. Nogueira, Mário J. G. Rocha-Neto

Publication date: 30 October 2023

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

Full work available at URL: https://arxiv.org/abs/2305.13107

zbMATH Keywords

Blume-Capel modeltricritical pointhierarchical latticeslocal thermodynamical propertiesspin-one Ising model

Mathematics Subject Classification ID

Statistical mechanics, structure of matter (82-XX)

Cites Work

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• Migdal-Kadanoff solution of the mixed spin-1 and spin-3/2 Blume-Capel model with different single-ion anisotropies
• Finite temperature phase diagrams of the mixed spin-1 and spin-2 Blume-Capel model by renormalization group approach
• Phase diagrams of the spin-5/2 Blume-Capel model
• Renormalization-group theory of the Heisenberg model in \(d\) dimensions
• The Blume-Capel model on hierarchical lattices: exact local properties
• The Blume-Capel model for spins \(S = 1\) and 3/2 in dimensions \(d = 2\) and 3
• The Blume-Capel model in a square lattice with \(J_x = - J_y\) interactions in an external field
• Dimensionality effects on the mixed spin-1/2 and spin-2 Blume-Capel model: renormalization group theory
• Single-ion anisotropy as the source of anomalies in thermodynamic properties of magnetic spin-1/2 − 1 mixed systems on square and simple cubic lattices
• Monte Carlo studies of the Blume–Capel model on nonregular two- and three-dimensional lattices: phase diagrams, tricriticality, and critical exponents

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