The thermodynamic response functions were studied in thin films in the frame of the Blume-Emery-Griffiths model. The method is based on the analysis of the Gibbs free energy and involves calculations of the magnetization and quadrupolar moment distributions. The temperature dependencies of the susceptibility and specific heat are obtained for various biquadratic interaction parameter and non-zero single-ion anisotropy. The behaviour of these functions in different phases: ferromagnetic, paramagnetic and staggered quadrupolar are illustrated in figures and discussed.
Blume-Emery-Griffiths model with single-ion anisotropy and biquadratic interactions has been applied for the description of thin magnetic films with S=1. According to the Bogolyubov minimization principle, in the frame of molecular field approximation, the phase diagrams, magnetizations and quadrupolar moments in thin films have been calculated.
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