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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…

Mean-field approximation is often used to explore the qualitative behaviour of phase transitions in classical spin models before employing computationally costly methods such as the Monte-Carlo techniques. We implement a 'lattice…

介观与纳米尺度物理 · 物理学 2020-07-28 Ondrej Hovorka , Timothy J. Sluckin

This work investigates the magnetic properties and the magnetocaloric effect in the spin-1 Blume-Capel model. The study was carried out using the mean-field theory from the Bogoliubov inequality to obtain the expressions of free energy,…

材料科学 · 物理学 2022-03-29 S. Oliveira , R. H. M. Morais , J. P. Santos , F. C. Sá Barreto

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

We review the pertinent features of the phase diagram of the zero-field Blume-Capel model, focusing on the aspects of transition order, finite-size scaling and universality. In particular, we employ a range of Monte Carlo simulation methods…

统计力学 · 物理学 2017-04-06 J. Zierenberg , N. G. Fytas , M. Weigel , W. Janke , A. Malakis

Monte Carlo simulations are performed in classical phase space for a one-dimensional quantum harmonic crystal. Symmetrization effects for spinless bosons and fermions are quantified. The algorithm is tested for a range of parameters against…

量子物理 · 物理学 2019-04-25 Phil Attard

We have used a mean-field Monte Carlo method to study the zero-temperature synchronous dynamics of a one-pattern model of associative memory with random asymmetric couplings. In the case of symmetric couplings, we find evidence for a…

无序系统与神经网络 · 物理学 2007-05-23 Manoranjan P. Singh , Chandan Dasgupta

In this work we investigate the Blume-Capel model with infinite-range ferromagnetic interactions and under the influence of a quenched disorder - a random crystal field. For a suitable choice of the random crystal field the model displays a…

统计力学 · 物理学 2015-02-03 Priscila V. dos Santos , Francisco A. da Costa , João M. de Araújo

We investigate the density of states (DOS) in an antiferromagnetic spin-system on a square lattice described by the Blume-Capel (BC) model. We use a new and very efficient simulation method, proposed by Wang and Landau, in which we estimate…

其他凝聚态物理 · 物理学 2009-11-13 G. Pawlowski

The order-disorder layering transitions, of the Blume-Capel model, are studied using the Monte Carlo (MC) simulations, in the presence of a variable crystal field. For a very low temperature, the results are in good agreement with the…

软凝聚态物质 · 物理学 2009-11-10 L. Bahmad , A. Benyoussef , H. Ez-Zahraouy

Since the landmark work of Lee and Yang, locating the zeros of the partition function in the complex magnetic-field plane has become a powerful method for studying phase transitions. Fisher later extended this approach to complex…

统计力学 · 物理学 2025-10-21 Leïla Moueddene , Nikolaos G Fytas , Bertrand Berche

In this work we investigate the Blume-Capel model with infinite-range ferromagnetic interactions and under the influence of a quenched disorder - a random crystal field. For a suitable choice of the random crystal field the model displays a…

统计力学 · 物理学 2016-08-08 P. V. Santos , F. A. Costa , J. M. Araújo

We investigate by means of Monte Carlo simulations the dynamic phase transition of the two-dimensional kinetic Blume-Capel model under a periodically oscillating magnetic field in the presence of a quenched random crystal-field coupling. We…

The dynamical responses of Blume-Capel (S=1) ferromagnet to the plane propagating (with fixed frequency and wavelength) and standing magnetic field waves are studied sepa- rately in two dimensions by extensive Monte Carlo simulation.…

统计力学 · 物理学 2016-11-23 Muktish Acharyya , Ajay Halder

We propose a mean-field (MF) approximation for the recurrence relation governing the dynamics of $m$ species of particles on a square lattice, and we simultaneously perform Monte Carlo (MC) simulations under identical initial conditions to…

统计力学 · 物理学 2025-06-23 Eduardo Velasco Stock , Roberto da Silva , Sebastian Gonçalves

The spin-1 ferromagnetic Blume-Capel film with an alternating crystal field $\Delta=\Delta_1$ on the odd layers and $\Delta=\Delta_2$ on the even ones is considered in the mean field approximation. The ground state phase diagrams in the…

凝聚态物理 · 物理学 2009-11-10 Hamid Ez-Zahraouy , Ahmed Kassou-Ou-Ali

The canonical one-band Hubbard model is studied using a computational method that mixes the Monte Carlo procedure with the mean field approximation. This technique allows us to incorporate thermal fluctuations and the development of…

We present a massively parallel quantum Monte Carlo based implementation of real-space dynamical mean-field theory for general inhomogeneous correlated fermionic lattice systems. As a first application, we study magnetic order in a binary…

量子气体 · 物理学 2010-12-16 N. Blümer , E. V. Gorelik

The kinetics of the chiral phase transition is studied within a linear quark-meson-$\sigma$ model, using a Monte-Carlo approach to semiclassical particle-field dynamics. The meson fields are described on the mean-field level and quarks and…

高能物理 - 唯象学 · 物理学 2015-09-30 Carsten Greiner , Christian Wesp , Hendrik van Hees , Alex Meistrenko

Mean-field theory (MFT) is one of the main available tools for analytical calculations entailed in investigations regarding many-body systems. Recently, there have been an urge of interest in ameliorating this kind of method, mainly with…

统计力学 · 物理学 2016-06-14 F. M. Zimmer , M. Schmidt , Jonas Maziero
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