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The study of mixed spin-1 and spin-1/2: Entropy and isothermal entropy change

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  • Albayrak, Erhan

Abstract

The entropy and isothermal entropy change of the mixed spin-(1,1/2) Ising model are examined on the Bethe lattice by using the exact recursion relations (ERR) for the coordination numbers q=3,4 and 6. It is found that entropy presents a little kink at the second-order phase transitions and increases as q decreases for zero external magnetic field (H). As the crystal field (D) increases, the temperatures of the lines move to higher temperatures and they all combine together with further increase of temperature for each q. When H is introduced, the kinks disappear and the lines move to higher temperatures as D increases for given H. The peaks of isothermal entropy change increase as Hmax increases. The peaks are higher for appropriate values of D and Hmax with lower q’s. Two exceptions occur at higher Hmax and lower negative D’s, i.e. the peaks for higher q can extend beyond the one for lower q.

Suggested Citation

  • Albayrak, Erhan, 2020. "The study of mixed spin-1 and spin-1/2: Entropy and isothermal entropy change," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 559(C).
    • Handle: RePEc:eee:phsmap:v:559:y:2020:i:c:s0378437120305653
    DOI: 10.1016/j.physa.2020.125079
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    Cited by:

    1. Akın, Hasan, 2024. "Investigation of thermodynamic properties of mixed-spin (2, 1/2) Ising and Blum–Capel models on a Cayley tree," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).
    2. Akın, Hasan, 2023. "The classification of disordered phases of mixed spin (2,1/2) Ising model and the chaoticity of the corresponding dynamical system," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).

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