A suitably modified Wolff single-cluster Monte Carlo simulation has been performed to investigate the critical behavior of a two-dimensional Ising model with temperature-dependent annealed bond dilution, also known as the thermalized bond Ising model, which is intended to simulate the thermal...

In this talk, we briefly comment on Sweeny and Gliozzi methods, cluster Monte Carlo method, and recent transition matrix Monte Carlo for Potts models. We mostly concentrate on a new algorithm known as ‘binary tree summation’. Some of the most interesting features of this method will be...

Cluster Monte Carlo methods are especially useful for applications in the vicinity of phase transitions, because they suppress critical slowing down; this may reduce the required simulation times by orders of magnitude. In general, the way in which cluster methods work can be explained in terms...