The development of cluster methods for magnetic systems and their connections with the geometric cluster Monte Carlo algorithm, is discussed. The conventional Monte Carlo simulation is based on the use of random numbers to generate the trial configurations and to decide on their acceptance or rejection. The single-cluster approach is more efficient and easier to implement, and also, it is possible to formulate a multiple-cluster version of the generalized GCA, which illustrates that GCA is a true off-lattice version of the the cluster algorithms. The generalized GCA is the first general rejection-free cluster algorithm for off-lattice system, which can accelerate the simulation of fluids in which the constituents exhibit a large asymmetry.
ASJC Scopus subject areas
- Computer Science(all)