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Within the framework of the effective-field theory (EFT) with correlations, the phase diagrams of a cylindrical spin-1 Ising nanowire is investigated, depending on the ratio of the Hamiltonian parameters. We discuss in detail the influence…

Statistical Mechanics · Physics 2013-12-31 Ersin Kantar , Yusuf Kocakaplan

A variational approach based on Bogoliubov inequality for the free energy is employed in order to treat the quantum spin-$1$ anisotropic ferromagnetic Heisenberg model in the presence of a crystal field. Within the Bogoliubov scheme an…

Statistical Mechanics · Physics 2013-11-28 Diego da Cunha Carvalho , João Antônio Plascak , Luizdarcy de Matos Castro

Phase diagram of the spin-1 quantum Heisenberg model with both exchange as well as single-ion anisotropy is constructed within the framework of pair approximation formulated as a variational procedure based on the Gibbs-Bogoliubov…

Statistical Mechanics · Physics 2008-07-25 Jozef Strecka , Jan Dely , Lucia Canova

A new approximating technique is developed so as to study the quantum ferromagnetic spin-1 Blume-Capel model in the presence of a transverse crystal field in the square lattice. Our proposal consists of approaching the spin system by…

Statistical Mechanics · Physics 2017-06-14 J. Roberto Viana , Octavio D. Rodriguez Salmon , Minos A. Neto , Diego C. Carvalho

The mixed spin-1/2 and spin-1 Ising model in the presence of an anisotropic crystalline field is treated exactly within the framework of an extended star-triangle mapping transformation. The exact results for the phase diagrams,…

Statistical Mechanics · Physics 2007-05-23 Jozef Strecka , Michal Jascur

Magnetic properties of a mixed spin-1/2 and spin-1 Ising model on honeycomb lattice are exactly investigated within the framework of generalized star-triangle mapping transformation. The particular attention is focused on the effect of…

Statistical Mechanics · Physics 2009-11-10 Jozef Strecka , Michal Jascur

The spin-3/2 Blume-Emery-Griffiths model on a honeycomb lattice is studied by Monte Carlo simulations with the goal to determine phase diagrams for a range of the model parameters and to investigate the nature of the phase transitions…

Statistical Mechanics · Physics 2014-01-09 M. Žukovič , M. Jaščur

The article provides a tutorial review on how to treat Ising models within mean-field (MF), effective-field (EF) and exact methods. MF solutions of the spin-1 Blume-Capel (BC) model and the mixed-spin Ising model demonstrate a change of…

Statistical Mechanics · Physics 2015-11-12 Jozef Strecka , Michal Jascur

We study the dynamic phase transition properties for the mixed spin-(1/2, 1) Ising model on a square lattice under a time-dependent magnetic field by means the effective-field theory (EFT) based on the Glauber dynamics. We present the…

Statistical Mechanics · Physics 2014-07-14 Mehmet Ertaş , Mustafa Keskin

A spin-1 transverse Ising model with longitudinal crystal field in a longitudinal magnetic field is examined by introducing an effective field approximation (IEFT) which includes the correlations between different spins that emerge when…

Statistical Mechanics · Physics 2010-10-12 Yusuf Yuksel , Hamza Polat

Nonequilibrium behavior and dynamic phase transition properties of a kinetic Ising model under the influence of periodically oscillating random-fields have been analyzed within the framework of effective field theory (EFT) based on a…

Statistical Mechanics · Physics 2012-07-10 Yusuf Yüksel , Erol Vatansever , Ümit Akıncı , Hamza Polat

We study the phase diagram of the spin-3/2 Blume-Emery-Griffiths model on a honeycomb lattice by Monte Carlo simulations in order to verify the presence of some peculiar features predicted by the effective field theory (EFT) with…

Statistical Mechanics · Physics 2023-07-19 Milan Žukovič , Michal Jaščur

Dynamic behavior of a site diluted Ising ferromagnet in the presence of periodically oscillating magnetic field has been analyzed by means of the effective field theory (EFT). Dynamic equation of motion have been solved for a honeycomb…

Statistical Mechanics · Physics 2015-06-04 U. Akinci , Y. Yuksel , E. Vatansever , H. Polat

}Thermodynamic properties and phase diagrams of a mixed spin-(1, 2) Ising ferrimagnetic system with single ion anisotropy on hexagonal nanowire are studied by using effective-field theory with correlations. The susceptibility, internal…

Statistical Mechanics · Physics 2014-07-07 Mehmet Ertaş , Ersin Kantar

A spin-1 Blume-Capel model with dilute and random crystal fields is examined for honeycomb and square lattices by introducing an effective-field approximation that takes into account the correlations between different spins that emerge when…

Statistical Mechanics · Physics 2016-08-14 Yusuf Yüksel , Ümit Akıncı , Hamza Polat

Ising model with quenched random magnetic fields is examined for single Gaussian, bimodal and double Gaussian random field distributions by introducing an effective field approximation that takes into account the correlations between…

Statistical Mechanics · Physics 2016-08-14 Yusuf Yüksel , Ümit Akıncı , Hamza Polat

The dynamic phase transitions have been studied, within a mean-field approach, in the kinetic spin-1 Ising model Hamiltonian with arbitrary bilinear and biquadratic pair interactions in the presence of a time varying (sinusoidal) magnetic…

Statistical Mechanics · Physics 2009-11-11 Mustafa Keskin , Osman Canko , Ersin Kantar

We have examined the stationary state solutions of a bond diluted kinetic Ising model under a time dependent oscillating magnetic field within the effective-field theory (EFT) for a honeycomb lattice $(q=3)$. Time evolution of the system…

Statistical Mechanics · Physics 2012-07-20 E. Vatansever , B. O. Aktas , Y. Yuksel , U. Akinci , H. Polat

A variational approach for the free energy is used to study the three-dimensional anisotropic XY model in the presence of a crystal field. The magnetization and the phase diagrams as a function of the parameters of the Hamiltonian are…

Statistical Mechanics · Physics 2009-11-11 L. M. Castro , A. S. T. Pires , J. A. Plascak

In this paper we present a study of the effects of two different single-ion anisotropies in the phase diagram and in the compensation temperature of the mixed spin-2 and spin-5/2 Ising ferrimagnetic system. We employed the mean-field theory…

Statistical Mechanics · Physics 2011-12-14 J. S. da Cruz Filho , M. Godoy , A. S. de Arruda
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