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The phase diagram of the spin-3/2 Blume-Capel model in two dimensions is explored by conventional finite-size scaling, conformal invariance and Monte Carlo simulations. The model in its $\tau$-continuum Hamiltonian version is also…

统计力学 · 物理学 2009-10-31 J. C. Xavier , F. C. Alcaraz , D. Pena Lara , J. A. Plascak

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 apply the Wang-Landau method to the study of the critical behaviour of the three dimensional Random Field Ising Model with a bimodal probability distribution. Our results show that for high values of the random field intensity the…

统计力学 · 物理学 2009-11-13 Laura Hernandez , Horacio Ceva

Evaporation/condensation transition of the Potts model on square lattice is numerically investigated by the Wang-Landau sampling method. Intrinsically system size dependent discrete transition between supersaturation state and…

统计力学 · 物理学 2011-12-13 Tomoaki Nogawa , Nobuyasu Ito , Hiroshi Watanabe

We present a modification of the Rose-Machta algorithm (Phys. Rev. E 100 (2019) 063304) and estimate the density of states for a two-dimensional Blume-Capel model, simulating $10^5$ replicas in parallel for each set of parameters. We…

统计力学 · 物理学 2024-10-21 Vyacheslav Mozolenko , Lev Shchur

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…

统计力学 · 物理学 2016-08-14 Yusuf Yüksel , Ümit Akıncı , Hamza Polat

We present a simple and efficient approximation scheme which greatly facilitates extension of Wang-Landau sampling (or similar techniques) in large systems for the estimation of critical behavior. The method, presented in an algorithmic…

统计力学 · 物理学 2007-05-23 A. Malakis , A. Peratzakis , N. G. Fytas

In this paper we study the short-time behavior of the Blume-Capel model at the tricritical point as well as along the second order critical line. Dynamic and static exponents are estimated by exploring scaling relations for the…

统计力学 · 物理学 2009-11-07 Roberto da Silva , Nelson A. Alves , J. R. Drugowich de Felicio

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

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

We describe the quantum phase transitions in the ferromagnetic Dicke-Ising model using a Landau theory approach. The theory quantitatively captures the change from a second- to a first-order transition between the normal and superradiant…

强关联电子 · 物理学 2026-05-28 Jan Alexander Koziol

We investigate the critical behavior of the two-dimensional spin-$1$ Baxter-Wu model in the presence of a crystal-field coupling $\Delta$ with the goal of determining the universality class of transitions along the second-order part of the…

统计力学 · 物理学 2023-08-28 A. R. S. Macedo , A. Vasilopoulos , M. Akritidis , J. A. Plascak , N. G. Fytas , M. Weigel

We present the first detailed numerical study in three dimensions of a first-order phase transition that remains first-order in the presence of quenched disorder (specifically, the ferromagnetic/paramagnetic transition of the site-diluted…

统计力学 · 物理学 2008-02-13 L. A. Fernandez , A. Gordillo-Guerrero , V. Martin-Mayor , J. J. Ruiz-Lorenzo

The first order phase transition of the three-dimensional Blume Capel are investigated using cooling algorithm which improved from Creutz Cellular Automaton for the $D/J=2.9$ parameter value in the first order phase transition region. The…

统计力学 · 物理学 2009-11-11 N. Seferoglu , A. Ozkan , B. Kutlu

We present a numerical study of the random Blume-Capel model in three dimension. The phase diagram is characterized by spin-glass/paramagnet phase transitions both of first and second order in the thermodynamic sense. Numerical simulations…

无序系统与神经网络 · 物理学 2011-04-12 Matteo Paoluzzi , Luca Leuzzi , Andrea Crisanti

In this work we investigate the order of the phase transition of the spin-1 Baxter-Wu model. We used extensive entropic simulations to describe the behavior of quantities which reveal the order of the phase transition. We applyied…

统计力学 · 物理学 2018-08-22 L. N. Jorge , L. S. Ferreira , A. A. Caparica

A classic three-dimensional spin model, based upon the Baxter-Wu scheme, is presented. It is found, by entropic sampling simulations, that the behavior of the energy and magnetization fourth-order cumulants points out to a first order phase…

统计力学 · 物理学 2019-10-02 L. N. Jorge , L. S. Ferreira , A. A. Caparica

The two-dimensional spin-1 Baxter-Wu model is studied by using Monte Carlo simulations. The standard single-spin-flip Metropolis algorithm is used to generate the configurations from which the order parameter, specific heat and magnetic…

经典物理 · 物理学 2015-06-26 M. L. M. Costa , J. A. Plascak

The influence of random site dilution on the critical properties of the two-dimensional Ising model on a square lattice was explored by Monte Carlo simulations with the Wang-Landau sampling. The lattice linear size was $L = 20-120$ and the…

统计力学 · 物理学 2008-07-02 I. A. Hadjiagapiou , A. Malakis , S. S. Martinos