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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…

Statistical Mechanics · Physics 2008-07-02 I. A. Hadjiagapiou , A. Malakis , S. S. Martinos

Population annealing is a promising recent approach for Monte Carlo simulations in statistical physics, in particular for the simulation of systems with complex free-energy landscapes. It is a hybrid method, combining importance sampling…

Computational Physics · Physics 2017-09-14 Lev Yu. Barash , Martin Weigel , Michal Borovský , Wolfhard Janke , Lev N. Shchur

We use the single-cluster Monte Carlo update algorithm to simulate the three-dimensional classical Heisenberg model in the critical region on simple cubic lattices of size $L^3$ with $L=12, 16, 20, 24, 32, 40$, and $48$. By means of…

High Energy Physics - Lattice · Physics 2009-10-22 Christian Holm , Wolfhard Janke

We study the Blume-Capel model on the square lattice. To allow for wetting and interfacial adsorption, the spins on opposite boundaries are fixed in two different states, "+1" and "-1", with reduced couplings at one of the boundaries. Using…

Statistical Mechanics · Physics 2013-09-02 N. G. Fytas , W. Selke

The spin-1 classical Blume-Capel model on a square lattice is known to exhibit a finite-temperature phase transition described by the tricritical Ising CFT in 1+1 space-time dimensions. This phase transition can be accessed with classical…

Statistical Mechanics · Physics 2016-07-22 Ipsita Mandal , Stephen Inglis , Roger G. Melko

We investigate the phase behaviour of 2D mixtures of bi-functional and three-functional patchy particles and 3D mixtures of bi-functional and tetra-functional patchy particles by means of Monte Carlo simulations and Wertheim theory. We…

By combining conventional finite-temperature many-body perturbation theory with cluster expansions, we develop a systematic method to carry out high order arbitrary temperature perturbative calculations on the computer. The method is well…

Strongly Correlated Electrons · Physics 2009-10-30 Norbert Elstner , Rajiv. R. P. Singh

We applied a mean-field approach associated to Monte Carlo simulations in order to study the spin-1 ferromagnetic Blume-Capel model in the square and the linear lattice. This new technique, which we call MFT-MC, determines the molecular…

Statistical Mechanics · Physics 2016-07-06 J. Roberto Viana , Octavio D. Rodriguez Salmon , Minos A. Neto

We study the off-equilibrium relaxational dynamics at criticality in the three-dimensional Blume-Capel model whose static critical behaviour belongs to the 3d-Ising universality class. Using "improved" Hamiltonian (the leading corrections…

Statistical Mechanics · Physics 2015-03-17 Mario Collura

The thermodynamic and structural properties of (NH$_4$Cl)$_n$ clusters, n=3-10 are studied. Using the method of simulated annealing, the geometries of several isomers for each cluster size are examined. Jump-walking Monte Carlo simulations…

chem-ph · Physics 2009-10-28 Alexander Matro , David L. Freeman , Robert Q. Topper

We study the special point in the phase diagram of a semi-infinite system, where the bulk transition is in the three-dimensional Ising universality class. To this end we perform a finite size scaling study of the improved Blume-Capel model…

Statistical Mechanics · Physics 2012-05-21 Martin Hasenbusch

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…

Statistical Mechanics · Physics 2007-05-23 A. Malakis , A. Peratzakis , N. G. Fytas

Monte Carlo simulations within the grand canonical ensemble are used to explore the liquid-vapour coexistence curve and critical point properties of the Lennard-Jones fluid. Attention is focused on the joint distribution of density and…

Condensed Matter · Physics 2009-10-28 Nigel B. Wilding

We propose a method for Monte Carlo simulation of statistical physical models with discretized energy. The method is based on several ideas including the cluster algorithm, the multicanonical Monte Carlo method and its acceleration proposed…

Statistical Mechanics · Physics 2009-11-07 Chiaki Yamaguchi , Naoki Kawashima

We study the thermodynamics of the two-dimensional Hubbard model within the dynamical cluster approximation. We use continuous time quantum Monte Carlo as a cluster solver to avoid the systematic error which complicates the calculation of…

Strongly Correlated Electrons · Physics 2009-11-04 K. Mikelsons , E. Khatami , D. Galanakis , A. Macridin , J. Moreno , M. Jarrell

Thermal boundary conditions has played an increasingly important role in revealing the nature of short-range spin glasses and is likely to be relevant also for other disordered systems. Diffusion method initializing each replica with a…

Disordered Systems and Neural Networks · Physics 2016-06-22 Wenlong Wang

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…

Statistical Mechanics · Physics 2023-08-15 Daniel Silva , Gloria M. Buendia , Per Arne Rikvold

We report on large-scale Wang-Landau Monte Carlo simulations of the critical behavior of two spin models in two- (2d) and three-dimensions (3d), namely the 2d random-bond Ising model and the pure 3d Blume-Capel model at zero crystal-field…

Statistical Mechanics · Physics 2020-12-07 N. G. Fytas , P. E. Theodorakis

A Monte Carlo method based on a density-of-states sampling is proposed for study of arbitrary statistical mechanical ensembles in a continuum. A random walk in the two-dimensional space of particle number and energy is used to estimate the…

Soft Condensed Matter · Physics 2009-11-07 Qiliang Yan , Roland Faller , Juan J. de Pablo

Numerical simulations of models and theories that describe complex systems such as spin glasses are becoming increasingly important. Beyond fundamental research, these computational methods also find practical applications in fields like…