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We calculate the efficiency of a rejection-free dynamic Monte Carlo methodfor $d$-dimensional off-lattice homogeneous particles interacting through arepulsive power-law potential $r^{-p}$. Theoretically we find the algorithmicefficiency in the limit of low temperatures and/or high densities isasymptotically proportional to $\rho^{\tfrac{p+2}{2}}T^{-\tfrac{d}{2}}$ withthe particle density $\rho$ and the temperature $T$. Dynamic Monte Carlosimulations are performed in 1-, 2- and 3-dimensional systems with differentpowers $p$, and the results agree with the theoretical predictions.

Efficiency of Rejection-Free Methods for Dynamic Monte Carlo Studies of Off-lattice Interacting Particles