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We report results of a Wang-Landau study of the random bond square Ising model with nearest- ($J_{nn}$) and next-nearest-neighbor ($J_{nnn}$) antiferromagnetic interactions. We consider the case $R=J_{nn}/J_{nnn}=1$ for which the…

Statistical Mechanics · Physics 2008-07-24 N. G. Fytas , A. Malakis , I. Georgiou

We revisit the one-dimensional ferromagnetic Ising spin-chain with a finite number of spins and periodic boundaries and derive analytically and verify numerically its various stationary and dynamical properties at different temperatures. In…

Statistical Mechanics · Physics 2025-04-24 Varazdat Stepanyan , Andreas F. Tzortzakakis , David Petrosyan , Armen E. Allahverdyan

The wetting transition is studied in the McCoy-Wu Ising model in which the random bonds are perfectly correlated in the direction parallel to the walls . The model is solved numerically on finite size lattices up to $200 \times 200^2$. It…

Statistical Mechanics · Physics 2020-07-15 Xintian Wu

Interface localization-delocalization transitions (ILDT) occur in two-phase fluids confined in a slit with competing preferences of the walls for the two fluid phases. At low temperatures the interface between the two phases is localized at…

Soft Condensed Matter · Physics 2019-01-01 Svyatoslav Kondrat , Oleg A. Vasilyev , S. Dietrich

Critical properties of lattice gases with nearest-neighbor exclusion are investigated via the adaptive-window Wang-Landau algorithm on the square and simple cubic lattices, for which the model is known to exhibit an Ising-like phase…

Statistical Mechanics · Physics 2015-05-19 A. G. Cunha-Netto , Ronald Dickman

Monte Carlo simulations using Wang-Landau sampling are performed to study three-dimensional chains of homopolymers on a lattice. We confirm the accuracy of the method by calculating the thermodynamic properties of this system. Our results…

Statistical Mechanics · Physics 2016-08-16 A. G. Cunha Netto , C. J. Silva , A. A. Caparica , R. Dickman

An exhaustive numerical investigation of the growth of magnetic films in confined $(d+1)$-dimensional stripped geometries ($d=1,2$) is carried out by means of extensive Monte Carlo simulations. Thin films in contact with a thermal bath are…

Condensed Matter · Physics 2009-11-07 Julián Candia , Ezequiel V. Albano

In this work, we present a comparative study of the accuracy provided by the Wang-Landau sampling and the Broad Histogram method to estimate de density of states of the two dimensional Ising ferromagnet. The microcanonical averages used to…

Statistical Mechanics · Physics 2016-05-26 Alexandre Pereira Lima , Paulo Murilo Castro de Oliveira , Daniel Girardi

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 study the magnetic and thermodynamic properties of a spin-$1/2$ Ising system containing three layers, each of which is composed exclusively of one out of two possible types of atoms, \textbf{A} or \textbf{B}. The \textbf{A-A} and…

Statistical Mechanics · Physics 2019-10-04 Ian Jordy Lopez Diaz , Nilton Silva Branco

The Monte Carlo analysis for the magnetic response of a single-walled nanotube using the Metropolis and Wang Landau algorithms is reported in the present paper. The nanotube architecture used in the present study utilizes the spin half…

Statistical Mechanics · Physics 2022-04-26 A. Arul Anne Elden , M. Ponmurugan

We present an analytical treatment of a three-dimensional variational model of a system that exhibits a second-order phase transition in the presence of dipolar interactions. Within the framework of Ginzburg-Landau theory, we concentrate on…

Analysis of PDEs · Mathematics 2019-05-14 Cyrill B. Muratov

The Ising model in small-world networks generated from two- and three-dimensional regular lattices has been studied. Monte Carlo simulations were carried out to characterize the ferromagnetic transition appearing in these systems. In the…

Disordered Systems and Neural Networks · Physics 2009-11-07 Carlos P. Herrero

We investigate relaxation dynamics along the entire first-order phase transition line by analyzing the time evolution of the free energy landscape in the three-dimensional kinetic Ising model. Near the critical temperature $T_{\rm c}$, the…

Statistical Mechanics · Physics 2025-08-28 Ranran Guo , Xiaobing Li , Yuming Zhong , Mingmei Xu , Jinghua Fu , Yuanfang Wu

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 present phase diagrams, free-energy landscapes, and order-parameter distributions for a model spin-crossover material with a two-step transition between the high-spin and low-spin states (a square-lattice Ising model with…

Materials Science · Physics 2017-12-01 Chor-Hoi Chan , Gregory Brown , Per Arne Rikvold

Two numerical strategies based on the Wang-Landau and Lee entropic sampling schemes are implemented to investigate the first-order transition features of the 3D bimodal ($\pm h$) random-field Ising model at the strong disorder regime. We…

Statistical Mechanics · Physics 2008-03-31 N. G. Fytas , A. Malakis , K. Eftaxias

We study the interface tension of the 4-state Potts model in three dimensions using the Wang- Landau algorithm. The interface tension is given by the ratio of the partition function with a twisted boundary condition in one direction and…

High Energy Physics - Lattice · Physics 2011-11-22 A. Hietanen , B. Lucini

We review recent advances in the analysis of the Wang--Landau algorithm, which is designed for the direct Monte Carlo estimation of the density of states (DOS). In the case of a discrete energy spectrum, we present an approach based on…

Statistical Mechanics · Physics 2019-10-02 L. N. Shchur

We considered a higher-dimensional extension for the replica-exchange Wang-Landau algorithm to perform a random walk in the energy and magnetization space of the two-dimensional Ising model. This hybrid scheme combines the advantages of…