Dynamic phase diagrams of a ferrimagnetic mixed spin (1/2, 1) Ising system within the path probability method

Ertaş, Mehmet; Keskín, Mustafa

doi:10.1016/j.physa.2015.05.110

Cited by 20 publications

(4 citation statements)

References 42 publications

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“…The dynamic transition has also been observed in the kinetic spin-3/2 Blume-Capel model [17] and in the Blume-Emery-Griffith model [18]. To study the dynamical phase transition in mixed spin systems also took much attention in modern research [19,20,21,22,23].…”

Section: Introductionmentioning

confidence: 99%

Standing magnetic wave on Ising ferromagnet: Nonequilibrium phase transition

Halder¹,

Acharyya²

2016

Journal of Magnetism and Magnetic Materials

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The dynamical response of an Ising ferromagnet to a plane polarised standing magnetic field wave is modelled and studied here by Monte Carlo simulation in two dimensions. The amplitude of standing magnetic wave is modulated along the direction x. We have detected two main dynamical phases namely, pinned and oscillating spin clusters. Depending on the value of field amplitude the system is found to undergo a phase transition from oscillating spin cluster to pinned as the system is cooled down. The time averaged magnetisation over a full cycle of magnetic field oscillations is defined as the dynamic order parameter. The transition is detected by studying the temperature dependences of the variance of the dynamic order parameter, the derivative of the dynamic order parameter and the dynamic specific heat. The dependence of the transition temperature on the magnetic field amplitude and on the wavelength of the magnetic field wave is studied at a single frequency. A comprehensive phase boundary is drawn in the plane described by the temperature and field amplitude for two different wavelengths of the magnetic wave. The variation of instantaneous line magnetisation during a period of magnetic field oscillation for standing wave mode is compared to those for the propagating wave mode. Also the probability that a spin at any site, flips, is calculated. The above mentioned variations and the probability of spin flip clearly distinguish between the dynamical phases formed by propagating magnetic wave and by standing magnetic wave in an Ising ferromagnet.

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Section: Introductionmentioning

confidence: 99%

Standing magnetic wave on Ising ferromagnet: Nonequilibrium phase transition

Halder¹,

Acharyya²

2016

Journal of Magnetism and Magnetic Materials

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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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“…driven by oscillating (in time but uniform over the space) magnetic field have been studied [6,7,8] also in last few years to present some interesting nonequilibrium behaviours. The nonequilibrium phase transitions were studied in [9,10,11,12,13] mixed spin systems driven by oscillating magnetic field, recently.…”

Section: Introductionmentioning

confidence: 99%

Universality Class of the Nonequilibrium Phase Transition in Two-Dimensional Ising Ferromagnet Driven by Propagating Magnetic Field Wave

Halder¹,

Acharyya²

2019

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The finite size analysis of the nonequilibrium phase transition, in two dimensional Ising ferromagnet driven by plane propagating magnetic wave, is studied by Monte Carlo simulation. It is observed that the system undergoes a nonequilibrium dynamic phase transition from a high temperature dynamically symmetric (propagating) phase to a low temperature dynamically symmetry-broken (pinned) phase as the system is cooled below the transition temperature. This transition temperature is determined precisely by studying the fourth order Binder Cumulant of the dynamic order parameter as a function of temperature for different system sizes (L). From the finite size analysis of dynamic order parameter (Q L ∼ L − β ν ) and the dynamic susceptibility (χ Q L ∼ L γ ν ), we have estimated the critical exponents β/ν = 0.146 ± 0.025 and γ/ν = 1.869 ± 0.135 (measured from the data read at the critical temperature obtained from Binder cumulant), and γ/ν = 1.746 ± 0.017 (measured from the peak positions of dynamic susceptibility). Our results indicate that such driven Ising ferromagnet belongs to the same universality class of the two-dimensional equilibrium Ising ferromagnet (where β/ν = 1/8 and γ/ν = 7/4), within the limits of statistical errors.

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Dynamic phase diagrams of a ferrimagnetic mixed spin (1/2, 1) Ising system within the path probability method

Cited by 20 publications

References 42 publications

Standing magnetic wave on Ising ferromagnet: Nonequilibrium phase transition

Standing magnetic wave on Ising ferromagnet: Nonequilibrium phase transition

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

Universality Class of the Nonequilibrium Phase Transition in Two-Dimensional Ising Ferromagnet Driven by Propagating Magnetic Field Wave

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