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We present a numerical study of the Blume-Capel model with quenched disorder in 3D. The phase diagram is characterized by spin-glass/paramagnet phase transitions of both first and second order in the thermodynamic sense. Numerical…

无序系统与神经网络 · 物理学 2015-05-19 L. Leuzzi , M. Paoluzzi , A. Crisanti

We investigate the thermodynamic phase transition taking place in the Blume-Capel model in presence of quenched disorder in three dimensions (3D). In particular, performing Exchange Montecarlo simulations, we study the behavior of the order…

无序系统与神经网络 · 物理学 2015-05-19 Matteo Paoluzzi , Luca Leuzzi , Andrea Crisanti

The spherical mean field approximation of a spin-1 model with p-body quenched disordered interaction is investigated. Depending on temperature and chemical potential the system is found in a paramagnetic or in a glassy phase and the…

无序系统与神经网络 · 物理学 2012-03-06 Ulisse Ferrari , Luca Leuzzi

A disordered spin model suitable for studying inverse freezing in fragile glass-forming systems is introduced. The model is a microscopic realization of the ``random-first order'' scenario in which the glass transition can be either…

软凝聚态物质 · 物理学 2009-11-11 Mauro Sellitto

We study the mean-field static solution of the Blume-Emery-Griffiths-Capel model with quenched disorder, an Ising-spin lattice gas with quenched random magnetic interaction. The thermodynamics is worked out in the Full Replica Symmetry…

统计力学 · 物理学 2016-08-31 Andrea Crisanti , Luca Leuzzi

Systems of particles in a confining potential exhibit a spatially dependent density which fundamentally alters the nature of phase transitions that occur. A specific instance of this situation, which is being extensively explored currently,…

统计力学 · 物理学 2013-05-29 S. M. Pittman , G. G. Batrouni , R. T. Scalettar

The statistical mechanics of a two-state Ising spin-glass model with finite random connectivity, in which each site is connected to a finite number of other sites, is extended in this work within the replica technique to study the phase…

统计力学 · 物理学 2011-06-20 R. Erichsen , W. K. Theumann

We investigate the first-order transition in the spin-1 two-dimensional Blume-Capel model in square lattices by revisiting the transfer-matrix method. With large strip widths increased up to the size of 18 sites, we construct the detailed…

统计力学 · 物理学 2017-12-12 Moonjung Jung , Dong-Hee Kim

In this work, we investigate the thermodynamic properties of the quantum Blume-Capel model with spin \( S = 5/2 \) in the presence of transverse and random crystalline fields. The system is described by a Hamiltonian that includes…

In this work, the relaxation process of the spin-3/2 Blume-Capel model with quenched random crystal field on a two dimensional square lattice has been investigated by a method which combines the statistical equilibrium theory and the…

统计力学 · 物理学 2012-09-28 Erol Vatansever , Hamza Polat

Systems of highly degenerate ordered or frozen state may exhibit inverse melting (reversible crystallization upon heating) or inverse freezing (reversible glass transition upon heating). This phenomena is reviewed, and a list of…

统计力学 · 物理学 2009-11-11 Nurith Schupper , Nadav M. Shnerb

In this paper a spin-1 spin-glass model under the presence of a uniform crystal field is investigated. It is shown that the model presents both continuous and first-order phase transition separated by a tricritical point. The phase diagram…

无序系统与神经网络 · 物理学 2015-05-19 F. A. da Costa

The study of the mean-field static solution of the Random Blume-Emery-Griffiths-Capel model, an Ising-spin lattice gas with quenched random magnetic interaction, is performed. The model exhibits a paramagnetic phase, described by a stable…

统计力学 · 物理学 2009-11-10 Andrea Crisanti , Luca Leuzzi

We show that the study of critical properties of the Blume-Capel model at two dimensions can be deduced from Monte Carlo simulations with good accuracy even for small system sizes when one analyses the behaviour of the zeros of the…

统计力学 · 物理学 2024-09-10 Leïla Moueddene , Nikolaos G Fytas , Yurij Holovatch , Ralph Kenna , Bertrand Berche

We study the thermodynamic properties of the three-dimensional Blume-Capel model on the simple cubic lattice by means of computer simulations. In particular, we implement a parallelized variant of the multicanonical approach and perform…

统计力学 · 物理学 2015-03-19 Johannes Zierenberg , Nikolaos G. Fytas , Wolfhard Janke

We present a detailed study by Monte Carlo simulations and finite-size scaling analysis of the phase diagram and ordered bulk phases for the three-dimensional Blume-Capel antiferromagnet in the space of temperature and magnetic and crystal…

统计力学 · 物理学 2023-08-15 Daniel Silva , Gloria M. Buendia , Per Arne Rikvold

We focus on the special situation of $D=2J$ of the general spin-S Blume-Capel model on the square lattice. Under the infinitesimal external magnetic field, the phase transition behaviors due to the thermal fluctuations are discussed by the…

统计力学 · 物理学 2016-09-16 Li-Ping Yang , Zhi-Yuan Xie

We investigate the critical properties of the spin-3/2 Blume-Capel model in two dimensions on a random lattice with quenched connectivity disorder. The disordered system is simulated by applying the cluster hybrid Monte Carlo update…

统计力学 · 物理学 2015-06-25 F. W. S. Lima , J. A. Plascak

The critical properties of the spin-1 two-dimensional Blume-Capel model on directed and undi- rected random lattices with quenched connectivity disorder is studied through Monte Carlo simulations. The critical temperature, as well as the…

统计力学 · 物理学 2015-05-18 F. P. Fernandes , F. W. S. Lima , J. A. Plascak

We investigate the phase diagram for the spin-$3/2$ ferromagnetic Blume-Capel model in a transverse crystal field using the standard mean-field approximation within the framework of Bogoliubov inequality for free energy. We draw a very rich…

统计力学 · 物理学 2020-07-16 D. C. Carvalho , J. A. Plascak
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