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Efficiency of rejection-free methods for dynamic Monte Carlo studies of off-lattice interacting particles
Marta L Guerra1, M A Novotny, Hiroshi Watanabe
1Department of Physics and HPC2 Center for Computational Sciences, P.O. Box 5167, Mississippi State University, Mississippi State, Mississippi, 39759, USA.
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 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.
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