Using Wang–Landau entropic sampling we study the Ising model in the framework of microcanonical ensemble (fixed magnetization). We are working for lattice size up to 1500×1500 in two dimensions and 100×100×100 in three dimensions. As we approach the coexistence curve from inside, varying...

Using a finite-size phenomenological theory we investigate the behavior of the Baxter–Wu model for both first- and second-order transitions. In order to distinguish between the two kinds of transition we study the finite-size scaling behavior of the order parameter and the susceptibility of...

The distribution function PL(m) of the order parameter for the Baxter–Wu model is studied using blocks of linear dimension L of a larger triangular lattice. At a given temperature, we use the Metropolis algorithm for the generation of a sample of configurations on the triangular lattice. The...

We study Baxter–Wu triangular model with fixed magnetization in the framework of canonical and microcanonical ensemble, constructing the density of states by Wang–Landau algorithm. We use an approximation similar to a recently developed scheme (critical minimum energy subspace). In this...

The short-time critical dynamics of the Baxter–Wu model is investigated via Monte Carlo simulations using single spin-flip algorithms. The critical dynamic exponents z and θ are estimated and it is shown that the N-fold way provides a reliable estimate for the ratio of the static exponents...

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 concentration of diluted sites q=0.1,0.2,0.3. Its pure...

The short-time behaviour of the critical two-dimensional Ising model is studied for the Bortz–Kalos–Lebowitz N-fold way algorithm (BKL algorithm). For square lattices of linear sizes L=110,128,140,170, and 200, we calculate the short-time critical behaviour for the BKL algorithm and also for...

The critical properties of the conserved-order-parameter (COP) version of the three-dimensional Ising model with zero magnetization were investigated by means of the Monte Carlo (MC) Wang–Landau algorithm. The study was carried out in appropriate restricted but dominant energy subspaces. The...

In this work we study an unusual phase transition of the Baxter–Wu model in the presence of an external magnetic field. The model is pure Baxter–Wu, which means that only three-spin interactions are taken into account. We construct a phase diagram on the temperature–field plane based...

We propose a new cluster algorithm for the Baxter–Wu model that significantly reduces critical slowing down. We examine the behavior of the created clusters as we vary the temperature and then specify dynamic exponents. Comparison is made with the Metropolis algorithm and with the other...