<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e648" altimg="si8.svg"><mml:mrow><mml:mo>±</mml:mo><mml:mi>J</mml:mi></mml:mrow></mml:math> Blume–Capel Model with external magnetic field in the cluster variation method

Albayrak, Erhan

doi:10.1016/j.physa.2021.126054

Cited by 4 publications

(1 citation statement)

References 19 publications

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“…Blume-Emery-Griffiths (BEG) model [54][55][56][57], mixed-spin Ising model [58][59][60][61][62][63] and Blume-Capel (BC) model [64][65][66][67][68][69][70][71][72]. The properties of MCE in the generalized spin-S model were studied by Yüksel and collaborators [73] using the MFT, and by Akinci and collaborators [74] who studied the MCE using the effective-field theory, where they concentrated their studies on continuous phase transitions.…”

Section: Introductionmentioning

confidence: 99%

Theoretical analysis of magnetic properties and the magnetocaloric effect using the Blume-Capel model

Oliveira¹,

Morais²,

Santos³

et al. 2022

Condens. Matter Phys.

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This work investigates the magnetic properties and the magnetocaloric effect in the spin-1 Blume-Capel model. The study was carried out using the mean-field theory from the Bogoliubov inequality to obtain the expressions of free energy, magnetization and entropy. The magnetocaloric effect was calculated from the variation of the entropy obtained by the mean-field theory. Due to the dependence on the external magnetic field and the anisotropy included in the model, the results for the magnetocaloric effect provided the system with first-order and continuous phase transitions. To ensure the results, the Maxwell relations were used in the intervals where the model presents continuous variations in magnetization and the Clausius-Clapeyron equation in the intervals where the model presents discontinuity in the magnetization. The methods and models for the analysis of a magnetic entropy change and first-order and continuous magnetic phase transitions, such as mean-field theory and the Blume-Capel model, are useful tools in understanding the nature of the magnetocaloric effect and its physical relevance.

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