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

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

Physica A: Statistical Mechanics and its Applications, 2023, vol. 629, issue C

Abstract: We investigate the thermodynamic properties of the zero-field Blume–Capel model in the vicinity of its tricritical point (TCP). We calculate the internal energy, entropy, magnetization, quadrupole moment densities, and their response functions (specific heat and susceptibility) by employing an exact numerical recursion procedure for the model defined in a hierarchical lattice of fractal dimension d. We explore the scaling behavior of the isothermal and constant crystal-field-specific heat as a function of the temperature and the reduced crystal-field parameter along the ferromagnetic and the ordered paramagnetic phase frontier. Results achieved for systems with dimensions d=2 and 3 exhibit the main features of the continuous and first-order transitions in the TCP neighborhoods. We also probe the phase coexistence in the λ diagram and the latent heat in the neighborhood of the tricritical points locus.

Keywords: Blume–Capel model; Spin-one Ising model; Tricritical point; Hierarchical lattices; Local thermodynamical properties (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:629:y:2023:i:c:s0378437123007008

DOI: 10.1016/j.physa.2023.129145

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