Efficiency of Rejection-Free Methods for Dynamic Monte Carlo Studies of   Off-lattice Interacting Particles
  We calculate the efficiency of a rejection-free dynamic Monte Carlo method for $d$-dimensional off-lattice homogeneous particles interacting through a repulsive power-law potential $r^{-p}$. Theoretically we find the algorithmic efficiency in the limit of low temperatures and/or high densities is asymptotically proportional to $\rho^{\tfrac{p+2}{2}}T^{-\tfrac{d}{2}}$ with the particle density $\rho$ and the temperature $T$. Dynamic Monte Carlo simulations are performed in 1-, 2- and 3-dimensional systems with different powers $p$, and the results agree with the theoretical predictions. 
Marta L. Guerra (1), M. A. Novotny (1), Hiroshi Watanabe (2), Nobuyasu   Ito (3) ((1) Mississippi State University, Mississi...