Dynamic phase transitions of the Blume–Emery–Griffiths model under an oscillating external magnetic field by the path probability method

Ertaş, Mehmet; Keskín, Mustafa

doi:10.1016/j.jmmm.2014.10.153

Cited by 13 publications

(2 citation statements)

References 43 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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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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“…The PPM was introduced by Kikuchi [51] and since then it has been used to study dynamic properties of many different physical phenomena and also real systems, such as diffusion in ordered systems, the order-disorder transformation in body-centered cubic alloys, diffusion and ionic conductivity in solid electrolytes, binary alloys, ternary systems, phonon and atomic diffusion systems, microscopic analysis of currentinduced domain conversion phenomena on Si(001) surface, investigation of metastable and stable states, the voltage-gated ion channel, dynamic hysteresis and compensation behaviors, relaxation process and phase transitions, and studying of DFTs and DFDs (see refs. [52][53][54][55][56][57][58][59][60][61][62][63][64][65][66][67][68] and references therein). Moreover, the PPM has more some advantages over the DMFA as well as the other two methods, namely the DEFT and the dynamic MCS in which have been applied to study dynamic magnetic features of the systems and also the DPTs.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Magnetic Features of a Mixed‐Spin‐2 and Spin‐5/2 Ising Ferrimagnetic System under a Time‐Dependent Oscillating Magnetic Field: Path Probability Method Approach

Gençaslan

Özlü

Keskín

2022

Physica Status Solidi (b)

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A study, within the path probability method, of the dynamic magnetic features of the mixed spin (2, 5/2) Ising ferrimagnetic system on a hexagonal lattice under the presence of a sinusoidal external magnetic field is presented. The Hamiltonian of the system contains intersublattice, intrasublattice, and crystal‐field interactions. The intersublattice interaction is taken as antiferromagnetic. The time variations of average dynamic magnetizations and the thermal behavior of the dynamic magnetizations are investigated to obtain the phases in the system and to characterize the nature of the dynamic phase transitions and find the dynamic phase transition temperature points. The dynamic phase diagrams in six different phase planes are presented, in which they contain the paramagnetic (p) phase, three different ferrimagnetic (i 1, i 2, i 3) fundamentals, and the p + i 1, i 1 + i 2, and i 2 + i 3 mixed phases as well as the dynamic tricritical point and the dynamic double critical end point, depending on the interaction parameters. The dynamic compensation behavior is also examined and only N‐type behaviors are observed. Some of the obtained dynamic phase diagrams are in qualitatively good agreement within some works on the dynamics of mixed‐spin Ising system.

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Influence of Frequency on the Kinetic Spin-3/2 Cylindrical Ising Nanowire System in an Oscillating Field

Kantar

Ertaş

2015

J Supercond Nov Magn

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Dynamic phase transitions of the Blume–Emery–Griffiths model under an oscillating external magnetic field by the path probability method

Cited by 13 publications

References 43 publications

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

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

Dynamic Magnetic Features of a Mixed‐Spin‐2 and Spin‐5/2 Ising Ferrimagnetic System under a Time‐Dependent Oscillating Magnetic Field: Path Probability Method Approach

Influence of Frequency on the Kinetic Spin-3/2 Cylindrical Ising Nanowire System in an Oscillating Field

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