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arXiv · 0807.4759

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

Marta L. Guerra·M. A. Novotny·Hiroshi Watanabe·Nobuyasu Ito
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Abstract

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 $ρ^{\tfrac{p+2}{2}}T^{-\tfrac{d}{2}}$ with the particle density $ρ$ 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.

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Marta L. Guerra, M. A. Novotny, Hiroshi Watanabe, Nobuyasu Ito. 2008-11-16. Efficiency of Rejection-Free Methods for Dynamic Monte Carlo Studies of Off-lattice Interacting Particles. https://doi.org/10.1103/physreve.79.026706

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