The Blume-Capel model for spins S=1 and 3/2 in dimensions d=2 and 3

Abstract

Expansions through the 24th order at high-temperature and up to 11th order at low-temperature are derived for the main observables of the Blume-Capel model on bipartite lattices (sq, sc and bcc) in 2d and 3d with various values of the spin and in presence of a magnetic field. All expansion coefficients are computed exactly as functions of the crystal and magnetic fields. Several critical properties of the model are analyzed in the two most studied cases of spin S=1 and S=3/2.

68 pages, 31 figures

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• Spin dependence of the tricritical point in the mixed-spin Blume-Capel model on three-dimensional lattices: Metropolis and Wang-Landau sampling approaches
• A learning by confusion approach to characterize phase transitions
• Phase diagrams of a 2D Ising spin-pseudospin model
• Thermodynamical behavior of the Blume-Capel model in the vicinity of its tricritical point
• Universal energy and magnetisation distributions in the Blume-Capel and Baxter-Wu models
• Perpendicular and Parallel Phase Separation in Two Species Driven Diffusive Lattice Gases
• Blume-Capel model analysis with microcanonical population annealing method
• Quantum Many-Body Calculations using Body-Centered Cubic Lattices
• Metastability in graded and step like variation of field and anisotropy of the Blume-Capel ferromagnet
• Anisotropy driven reversal of magnetisation in Blume-Capel ferromagnet: A Monte Carlo study
• First numerical evidence of Janssen-Oerding's prediction in a three-dimensional spin model far from equilibrium
• Anisotropic deformation of the 6-state clock model: Tricritical-point classification
• Existence of a tricritical point for the Blume-Capel model on ${\mathbb{Z}}^d$
• Spin-$S$ Ising models with multispin interactions on the one-dimensional chain and two-dimensional square lattice
• Theoretical studies on switching of magnetisation in thin film
• Short-time dynamics in phase-ordering kinetics