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 asympto...

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Bibliographic Details
Published in:Physical review. E, Statistical, nonlinear, and soft matter physics Statistical, nonlinear, and soft matter physics, 2009-02, Vol.79 (2 Pt 2), p.026706-026706, Article 026706
Main Authors: Guerra, Marta L, Novotny, M A, Watanabe, Hiroshi, Ito, Nobuyasu
Format: Article
Language:English
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Summary: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(p+2)/2T(-d/2) with the particle density rho and the temperature T. Dynamic Monte Carlo simulations are performed in one-, two-, and three-dimensional systems with different powers p, and the results agree with the theoretical predictions.
ISSN:1539-3755
1550-2376
DOI:10.1103/PhysRevE.79.026706