An introductory review of the Monte Carlo method for the statistical mechanics of condensed
matter systems is given. Basic principles (random number generation, simple sampling …

Abstract The Swendsen-Wang and Wolff Monte Carlo algorithms are described in some
detail, using the Potts model as an example. Various generalizations are then reviewed and …

We have simulated the three-dimensional Heisenberg model on simple cubic lattices, using
the single-cluster Monte Carlo update algorithm. The expected pronounced reduction of …

In this paper, we have reviewed two complementary new approaches to improve the
accuracy and efficiency of Monte Carlo computer simulations in the study of phase …

Two-dimensional random-bond Ising models of L× L spins are simulated extensively. In the
randomness dominated critical region, the size dependences of the specific heat, C, the …

We present a study of the three-state antiferromagnetic Potts model in two and three
dimensions, using a cluster-flip Monte Carlo simulation algorithm. The new approach …

The purpose of this chapter is to give a brief introduction to Monte Carlo simulations of
classical statistical physics systems and their statistical analysis. To set the general …

Abstract Several cluster Monte Carlo methods were developed recently and proved to be
very efficient in accelerating simulations of various models. We present a general cluster …

We study a class of Monte Carlo algorithms for the nonlinear σ-model, based on A Wolff-type
embedding of Ising spins into the target manifold M. We argue heuristically that, at least for …

Computational Physics. Selected Methods, Simple Exercises, Serious Applications is an
overview written by leading researchers of a variety of fields and developments. Selected …