We calculated the efficiency of a Rejection-Free Monte Carlo method ootnotetextH. Watanawe, S. Yukawa, M.A. Novotny and N. Ito, Efficiency of Rejection-free dynamic Monte Carlo methods for homogeneous spin models, hard disk systems, and hard sphere system, Phys. Rew. E, 74, 026707 (2006) in the limit of low temperatures and/or high densities for d-dimensional particles interacting through a
... [Show full abstract] repulsive power-law r^p as well as Lennard-Jones Interactions. Theoretically we find the algorithmic efficiency is proportional to &p+2circ;2T^-d2 where rho is the particle density and T the temperature. For different powers (p) in 1, 2 and 3 dimensions as a function of T and rho, we report results in agreement with our theoretical predictions