Abstract
We construct asymptotic arguments for the relative efficiency of rejection-free Monte Carlo (MC) methods compared to the standard MC method. We find that the efficiency is proportional to in the Ising, in the classical XY, and in the classical Heisenberg spin systems with inverse temperature , regardless of the dimension. The efficiency in hard particle systems is also obtained, and found to be proportional to with the closest packing density , density , and dimension of the systems. We construct and implement a rejection-free Monte Carlo method for the hard-disk system. The RFMC has a greater computational efficiency at high densities, and the density dependence of the efficiency is as predicted by our arguments.
6 More- Received 30 March 2006
DOI:https://doi.org/10.1103/PhysRevE.74.026707
©2006 American Physical Society