Dynamic phase of transitions of the mixed spin (1/2, 3/2) Ising model in the presence of a time-varying magnetic field by using the path probability method

İnce, Oktay; Gençaslan, Mustafa; Keskín, Mustafa

doi:10.1016/j.physleta.2020.127107

Cited by 11 publications

(4 citation statements)

References 60 publications

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“…For bigger negative values of

J_{BB}

, namely

J_{BB} = - 3.65

, the DPD is similar to Figure 4d except the

i_{3}

phase emerges instead of the

i_{1}

phase and the compensation temperature line disappeared, illustrated in Figure 4e,

J_{AA} = 1.25

, d = 0.3 . Similar DPDs with Figure 4a were reported in the mixed spin (1/2, 1), [ 73 ] (1, 3/2), [ 74 ] and (1, 2) [ 72 ] IFS, and the similar DPD with Figure 4b were observed in the mixed spin (1/2, 1), [ 69,73,75–77 ] (1, 3/2), [ 78 ] (1, 2), [ 72 ] and (2, 5/2) [ 38,40,48 ] IFS. Moreover, qualitatively similar DPDs with Figure 4c–e were found in the mixed‐spin (1, 2) IFS, [ 72 ] and a similar DPD with Figure 4c were reported in the mixed‐spin (1, 3/2) IFS [ 79 ] ther hand, some of the first‐order phase transition lines, which might be artifact of the DMFA, were observed in the mixed spin (2, 5/2) bilayer system by the DMFA, [ 43 ] but are not observed by the PPM, compare Figure 4 and 5 in ref.…”

Section: Numerical Results and Discussionsupporting

confidence: 85%

“…In numerical calculations, we took the intersublattice interaction is antiferromagnetic, i.e.,

J_{AB} = - 1.0

, because it gives more riches and interesting dynamic critical behaviors. [ 38,41,43,49,69–73 ] We fixed

k_{1} = 1.0

and

k_{2} = 2.0

in all numerical calculation because most systems have greater relaxation durations for the translation and shorter relaxation times for rotation and ω was taken as

ω = 2 π

.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

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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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“…For bigger negative values of

J_{BB}

, namely

J_{BB} = - 3.65

, the DPD is similar to Figure 4d except the

i_{3}

phase emerges instead of the

i_{1}

phase and the compensation temperature line disappeared, illustrated in Figure 4e,

J_{AA} = 1.25

Section: Numerical Results and Discussionsupporting

confidence: 85%

“…In numerical calculations, we took the intersublattice interaction is antiferromagnetic, i.e.,

J_{AB} = - 1.0

, because it gives more riches and interesting dynamic critical behaviors. [ 38,41,43,49,69–73 ] We fixed

k_{1} = 1.0

and

k_{2} = 2.0

in all numerical calculation because most systems have greater relaxation durations for the translation and shorter relaxation times for rotation and ω was taken as

ω = 2 π

.…”

Section: Numerical Results and Discussionmentioning

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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“…Then, many aspects of DPTs and DPDs in a spin-1/2 IS were examined within the dynamic Monte Carlo simulations, the dynamic mean-field method, the effective-field theory based on the Glauber dynamics, and the path probability method (PPM) [5][6][7][8]. In the last two decades, DPTs and DPDs were mostly investigated utilizing the higher ISs (spin-1, spin-3/2, spin-2, spin-5/2, spin 7/2) [9][10][11][12] and mixed ISs (mixed spins (1/2, 1), (1/2, 3/2), (1, 3/2), (1, 2), 3/2, 2), (2, 5/2) ISs, etc) [13][14][15][16] within the above mentioned dynamic methods.…”

Section: Introductionmentioning

confidence: 99%

Nonequlibrium magnetic features in a mixed spin (2, 5/2) Ising system driven by the external oscillating magnetic field by path probability method

Gençaslan¹,

Keskín²

2022

Phys. Scr.

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Utilizing the path probability method, we investigated nonequilibrium magnetic features in a mixed spin (2, 5/2) Ising model Hamiltonian composed of bilinear and crystal-field interactions in the presence of an external oscillating magnetic field. We numerically solved the time dependence of average magnetizations to find the phases in the system. We examined the dynamic magnetizations to obtain dynamic phase transition (DPT) temperatures, the nature of the DPTs, and phases in the system. The dynamic phase diagrams (DPDs) were constructed in reduced temperature and the amplitude of oscillating magnetic field plane for various interaction parameters. We observed that the system gives very rich and interesting topological behaviors of DPDs, such as up to two dynamic tricritical points, six critical end points, a double critical end points, a zero-temperature critical point, one inverse critical end point and a quadruple point depending on interaction parameters. The system also exhibits paramagnetic, six distinct ferrimagnetic and three different nonmagnetic phases as well as up to eleven different mixed or hybrid phases. In addition, the system exhibits the reentrant behavior.

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“…There are several molecular materials that seem to have this spin structure, for example, amorphous V(TCNE) x · y (solvent), where TCNE is tetracyanoethylene. They are organometallic compounds that order ferrimagnetically as high as 400 K. [ 49,50 ] Without dilution, this mixed model has been studied with different techniques [ 51–55 ] and with different lattices, such as the Bethe lattice, [ 56,57 ] extended Kagomé lattice, [ 58 ] and twofold Caley tree. [ 59 ] Most of the studies focus on the case where only antiferromagnetic interactions between the nearest neighbors and crystal field are present; effective field theories indicate that in this case this model does not present compensation temperatures.…”

Section: Introductionmentioning

confidence: 99%

Monte Carlo Simulation of a Mixed Spin‐1/2 and Spin‐3/2 Ising Ferrimagnetic System with Site Dilution

Sánchez-Villalobos

Buendı́a

2021

Physica Status Solidi (b)

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A study of the magnetic behavior of a mixed Ising system on a square lattice, where spins σ=±1/2 are located on alternating sites with spins S=±3/2,±1/2, is presented. The change in the magnetic behavior of the system when empty sites are introduced in one of the sublattices or in both is analyzed. This system can be thought of as a site‐diluted ferrimagnet or as a system with nonmagnetic impurities. The Hamiltonian of the model contains an exchange interaction between nearest neighbors S–σ, next‐nearest‐neighbors σ–σ, and a crystal field. The dependence of the total magnetization, the sublattice magnetizations, and the specific heat, with dilution is calculated. It is found that the behavior of the critical and compensation temperatures is strongly affected by dilution and where it is located. There is critical dilution, above which the compensation temperature disappears.

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Dynamic phase of transitions of the mixed spin (1/2, 3/2) Ising model in the presence of a time-varying magnetic field by using the path probability method

Cited by 11 publications

References 60 publications

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

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

Nonequlibrium magnetic features in a mixed spin (2, 5/2) Ising system driven by the external oscillating magnetic field by path probability method

Monte Carlo Simulation of a Mixed Spin‐1/2 and Spin‐3/2 Ising Ferrimagnetic System with Site Dilution

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