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Related papers: Wang-Landau study of the triangular Blume-Capel fe…

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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…

Statistical Mechanics · Physics 2015-02-03 Priscila V. dos Santos , Francisco A. da Costa , João M. de Araújo

Using the Swendsen and Wang algorithm, high accuracy Monte Carlo simulations were performed to study the concentration dependence of the Curie temperature in binary, ferromagnetic Ising systems on the simple-cubic lattice. Our results are…

Condensed Matter · Physics 2009-10-22 Zoltan NEDA

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…

Disordered Systems and Neural Networks · Physics 2015-05-19 L. Leuzzi , M. Paoluzzi , A. Crisanti

The relaxation and complex magnetic susceptibility treatments of a spin-3/2 Blume-Capel model with quenched random crystal field on a two dimensional square lattice are investigated by a method combining the statistical equilibrium theory…

Statistical Mechanics · Physics 2015-06-11 Erol Vatansever , Hamza Polat

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…

Statistical Mechanics · Physics 2009-11-13 Laura Hernandez , Horacio Ceva

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…

Statistical Mechanics · Physics 2024-10-21 Vyacheslav Mozolenko , Lev Shchur

We perform a numerical study of the kinetic Blume-Capel (BC) model to find if it exhibits the metamagnetic anomalies previously observed in the kinetic Ising model for supercritical periods. We employ a heat-bath Monte Carlo (MC) algorithm…

Statistical Mechanics · Physics 2024-10-24 Celeste Mendes , Gloria M. Buendia , Per Arne Rikvold

A generalized approach to Wang-Landau simulations, macroscopically constrained Wang-Landau, is proposed to simulate the density of states of a system with multiple macroscopic order parameters. The method breaks a multidimensional…

Statistical Mechanics · Physics 2017-05-11 Chor-Hoi Chan , Gregory Brown , Per Arne Rikvold

We have investigated by Monte-Carlo simulation the phase diagram of a three-dimensional Ising model with nearest-neighbor ferromagnetic interactions and small, but long-range (Coulombic) antiferromagnetic interactions. We have developed an…

Statistical Mechanics · Physics 2009-02-06 M. Grousson , G. Tarjus , P. Viot

We study the transient behavior of damage propagation in the two-dimensional spin-$1$ Blume-Capel model using Monte Carlo simulations with Metropolis dynamics. We find that, for a particular region in the second-order transition regime of…

Statistical Mechanics · Physics 2022-10-20 Ajanta Bhowal Acharyya , Muktish Acharyya , Erol Vatansever , Nikolaos G. Fytas

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…

Statistical Mechanics · Physics 2011-12-13 Tomoaki Nogawa , Nobuyasu Ito , Hiroshi Watanabe

We propose the Landau model for lock-in phase transitions in uniaxially modulated improper ferroelectric incommensurate-commensurate systems of class I. It includes Umklapp terms of third and fourth order and secondary order parameter…

Materials Science · Physics 2009-10-31 M. Latkovic , A. Bjelis , V. Dananic

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…

Statistical Mechanics · Physics 2017-12-12 Moonjung Jung , Dong-Hee Kim

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…

Statistical Mechanics · Physics 2016-08-08 P. V. Santos , F. A. Costa , J. M. Araújo

This investigation employs a square lattice and Glauber dynamics methodology to probe the effects of diluteness in the crystal-field interaction in a Blume-Capel Ising system under an oscillating magnetic-field. Fourteen different phase…

Statistical Mechanics · Physics 2015-03-17 Gul Gulpinar , Erol Vatansever

We describe the study of thermodynamics of materials using replica-exchange Wang-Landau (REWL) sampling, a generic framework for massively parallel implementations of the Wang-Landau Monte Carlo method. To evaluate the performance and…

Materials Science · Physics 2014-11-18 Dilina Perera , Ying Wai Li , Markus Eisenbach , Thomas Vogel , David P. Landau

We propose a simple method to estimate the central charge of the conformal field theory corresponding to a critical point of a two-dimensional lattice model from Monte Carlo simulations. The main idea is to use the Wang-Landau…

Statistical Mechanics · Physics 2017-06-19 P. A. Belov , A. A. Nazarov , A. O. Sorokin

We develop an approach to apply Wang-Landau algorithm to multicomponent alloys in semi-grand-canonical ensemble. Although the Wang-Landau algorithm has great advantages over conventional sampling methods, there are few applications to…

Materials Science · Physics 2017-10-18 Kazuhito Takeuchi , Ryohei Tanaka , Koretaka Yuge

We show in this paper by using the Wang-Landau flat-histogram Monte Carlo method that the phase transition in the XY stacked triangular antiferromagnet is clearly of first-order, confirming results from latest Monte Carlo simulation and…

Statistical Mechanics · Physics 2007-11-05 V. Thanh Ngo , H. T. Diep

Using both the exact enumeration method (microcanonical transfer matrix) for a small system (L = 9) and the Wang-Landau Monte Carlo algorithm for large systems to L = 30, we obtain the exact and approximate densities of states g(M,E), as a…

Statistical Mechanics · Physics 2015-05-14 Chi-Ok Hwang , Seung-Yeon Kim