Monte Carlo study of the two-dimensional kinetic Blume-Capel model in a quenched random crystal field

Vasilopoulos, Alexandros; Vatansever, Zeynep Demir; Vatansever, Erol; Fytas, Nikolaos G.

doi:10.1103/physreve.104.024108

Cited by 18 publications

(12 citation statements)

References 71 publications

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“…Clearly, a refined investigation of the surface tension and latent heat of the transition is called for, as it is quite often the case that pseudo-first-order signatures emerge at moderate system sizes in many spin models with complex interactions, see [23] and references therein. Some first analysis along these lines indicates that these are indeed mere finite-size effects that disappear in the thermodynamic limit [19].…”

Section: Resultsmentioning

confidence: 99%

“…Indeed, on lowering the temperature a double-peak structure in the energy probability density function is observed, which becomes more pronounced as the pentacritical point is approached. The actual role of these finite-size effects including simulation of larger system sizes and a systematic scaling analysis of the respective surface tension and latent heat of this pseudofirst-order transition are currently under study by our group [19]. Some future plans include a dedicated study of the location and universality principle of the pentacritical point, as well as a high-accuracy reproduction of the model's phase diagram.…”

Section: Discussionmentioning

confidence: 99%

“…The bulk of our simulations was performed at T = 2.1. Other values of T closer to the pentacritical point are currently being considered and will be reported elsewhere [19].…”

Section: Numerical Approachmentioning

confidence: 99%

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Multicanonical simulations of the 2D spin-1 Baxter-Wu model in a crystal field

Fytas

Vasilopoulos

Vatansever

et al. 2022

J. Phys.: Conf. Ser.

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We investigate aspects of universality in the two-dimensional (2D) spin-1 Baxter-Wu model in a crystal field Δ using a parallel version of the multicanonical algorithm employed at constant temperature T. A detailed finite-size scaling analysis in the continuous regime of the Δ – T phase diagram of the model indicates that the transition belongs to the universality class of the 4-state Potts model. The presence of first-order-like finite-size effects that become more pronounced as one approaches the pentacritical point of the model is highlighted and discussed.

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Section: Resultsmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

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Multicanonical simulations of the 2D spin-1 Baxter-Wu model in a crystal field

Fytas

Vasilopoulos

Vatansever

et al. 2022

J. Phys.: Conf. Ser.

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“…This model has also attracted particular attention in connection with its wetting and interfacial adsorption under the presence or absence of bond randomness [18][19][20][21]. Considerable interest has centered recently on investigating dynamic phase transitions and randomness [22][23][24]. The study of the effects of random-anisotropy in the BC model has been proposed to describe the phase separation and the critical behavior of 3 He- 4 He in random media [25,26].…”

Section: Introductionmentioning

confidence: 99%

Monte Carlo studies of the Blume-Capel model on nonregular two- and three-dimensional lattices: Phase diagrams, tricriticality, and critical exponents

Azhari,

2022

Preprint

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We perform Monte Carlo simulations, combining both the Wang-Landau and the Metropolis algorithms, to investigate the phase diagrams of the Blume-Capel model on different types of nonregular lattices (Lieb lattice (LL), decorated triangular lattice (DTL), and decorated simple cubic lattice (DSC)). The nonregular character of the lattices induces a double transition (reentrant behavior) in the region of the phase diagram at which the nature of the phase transition changes from first-order to second-order. A physical mechanism underlying this reentrance is proposed. The large-scale Monte Carlo simulations are performed with the finite-size scaling analysis to compute the critical exponents and the critical Binder cumulant for three different values of the anisotropy ∆/J ∈ 0, 1, 1.34 (for LL), 1.51 (for DTL and DSC) , showing thus no deviation from the standard Ising universality class in two and three dimensions. We report also the location of the tricritical point to considerable precision: (∆t/J = 1.3457(1); k B Tt/J = 0.309(2)), (∆t/J = 1.5766(1); k B Tt/J = 0.481(2)), and (∆t/J = 1.5933(1); k B Tt/J = 0.569(4)) for LL, DTL, and DSC, respectively.

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“…Such a system is expected to show hysteresis effects and nonequilibrium phase transition under external time varying field. The DPT occurs when half period of the external field P 1/2 becomes comparable with the mean metastable lifetime τ of the system [17,18,19 depends on h 0 and L apart from the T . By tuning T keeping P fixed, here we are indeed changing τ .…”

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confidence: 99%

Study of diluted kinetic Ising model under sinusoidal external field

Chattopadhyay

Santra

2022

J. Phys.: Conf. Ser.

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The ferromagnet to paramagnet phase transition temperature depends on the dilution concentration in the site diluted Ising ferromagnet. Though this model is a bistable system, few studies reported dynamic phase transition (DPT) in diluted Ising ferromagnet. We study dilution-dependent DPT in diluted Ising ferromagnet via Monte Carlo simulation under a time-varying external field tuning the system’s temperature on several system sizes. The nature of the transition is characterized by employing the finite-size scaling study.

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Monte Carlo study of the two-dimensional kinetic Blume-Capel model in a quenched random crystal field

Cited by 18 publications

References 71 publications

Multicanonical simulations of the 2D spin-1 Baxter-Wu model in a crystal field

Multicanonical simulations of the 2D spin-1 Baxter-Wu model in a crystal field

Monte Carlo studies of the Blume-Capel model on nonregular two- and three-dimensional lattices: Phase diagrams, tricriticality, and critical exponents

Study of diluted kinetic Ising model under sinusoidal external field

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