We review results concerning the critical behavior of spin systems at equilibrium. We
consider the Ising and the general O (N)-symmetric universality classes, including the N→ 0 …

A critical review is given of status and perspectives of Monte Carlo simulations that address
bulk and interfacial phase transitions of ferromagnetic Ising models. First, some basic …

Recently the series for two renormalization group functions (corresponding to the
anomalous dimensions of the fields and) of the three-dimensional field theory have been …

Using recently developed histogram techniques and an ultrafast multispin coding simulation
algorithm, we have investigated the critical behavior of the d= 3 simple-cubic Ising model …

While the three-dimensional Ising model has defied analytic solution, various numerical
methods like Monte Carlo, Monte Carlo renormalization group, and series expansion have …

Applications of the Monte Carlo method in statistical physics Page 1 Applications of the
Monte-Carlo Method in Statistical Physics KURT BINDER XXXVI Springer Page 2 Topics in …

We investigate three Ising models on the simple cubic lattice by means of Monte Carlo
methods and finite-size scaling. These models are the spin-1/2 Ising model with nearest …

Abstract 25th-order high-temperature series are computed for a general nearest-neighbor
three-dimensional Ising model with arbitrary potential on the simple cubic lattice. In …

The equation of state of the universality class of the 3D Ising model is determined
numerically in the critical domain from quantum field theory and renormalization group …

Abstract The Monte Carlo renormalization group is applied to the three-dimensional Ising
model on simple cubic lattices with 8 3, 16 3, 32 3, and 64 3 sites. The comparison of block …