Efficiency of rejection-free methods for dynamic Monte Carlo studies of off-lattice interacting particles

Handle URI:
http://hdl.handle.net/10754/598095
Title:
Efficiency of rejection-free methods for dynamic Monte Carlo studies of off-lattice interacting particles
Authors:
Guerra, Marta L.; Novotny, M. A.; Watanabe, Hiroshi; Ito, Nobuyasu
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 (p+2) /2 T-d/2 with the particle density ρ 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. © 2009 The American Physical Society.
Citation:
Guerra ML, Novotny MA, Watanabe H, Ito N (2009) Efficiency of rejection-free methods for dynamic Monte Carlo studies of off-lattice interacting particles. Phys Rev E 79. Available: http://dx.doi.org/10.1103/PhysRevE.79.026706.
Publisher:
American Physical Society (APS)
Journal:
Physical Review E
KAUST Grant Number:
KUK-I1-005-04
Issue Date:
23-Feb-2009
DOI:
10.1103/PhysRevE.79.026706
PubMed ID:
19391873
Type:
Article
ISSN:
1539-3755; 1550-2376
Sponsors:
The authors thank P. A. Rikvold for helpful discussions. The computation was partially carried out in the ISSP of the University of Tokyo and in the HPC2 Center for Computational Sciences at Mississippi State University. This work was partially supported by the COE program on "Frontiers of computational science" of Nagoya University, U.S. NSF Grant Nos. DMR-0426488 and DMR-0444051, the Sustainable Energy Research Center at Mississippi State University which is supported by the Department of Energy under Grant No. DE-FG3606GO86025, by Grants-in-Aid for Scientific Research (Contract Nos. 19740235 and 19540400 ), and by KAUST GRP(KUK-I1-005-04).
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Full metadata record

DC FieldValue Language
dc.contributor.authorGuerra, Marta L.en
dc.contributor.authorNovotny, M. A.en
dc.contributor.authorWatanabe, Hiroshien
dc.contributor.authorIto, Nobuyasuen
dc.date.accessioned2016-02-25T13:12:35Zen
dc.date.available2016-02-25T13:12:35Zen
dc.date.issued2009-02-23en
dc.identifier.citationGuerra ML, Novotny MA, Watanabe H, Ito N (2009) Efficiency of rejection-free methods for dynamic Monte Carlo studies of off-lattice interacting particles. Phys Rev E 79. Available: http://dx.doi.org/10.1103/PhysRevE.79.026706.en
dc.identifier.issn1539-3755en
dc.identifier.issn1550-2376en
dc.identifier.pmid19391873en
dc.identifier.doi10.1103/PhysRevE.79.026706en
dc.identifier.urihttp://hdl.handle.net/10754/598095en
dc.description.abstractWe 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 (p+2) /2 T-d/2 with the particle density ρ 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. © 2009 The American Physical Society.en
dc.description.sponsorshipThe authors thank P. A. Rikvold for helpful discussions. The computation was partially carried out in the ISSP of the University of Tokyo and in the HPC2 Center for Computational Sciences at Mississippi State University. This work was partially supported by the COE program on "Frontiers of computational science" of Nagoya University, U.S. NSF Grant Nos. DMR-0426488 and DMR-0444051, the Sustainable Energy Research Center at Mississippi State University which is supported by the Department of Energy under Grant No. DE-FG3606GO86025, by Grants-in-Aid for Scientific Research (Contract Nos. 19740235 and 19540400 ), and by KAUST GRP(KUK-I1-005-04).en
dc.publisherAmerican Physical Society (APS)en
dc.titleEfficiency of rejection-free methods for dynamic Monte Carlo studies of off-lattice interacting particlesen
dc.typeArticleen
dc.identifier.journalPhysical Review Een
dc.contributor.institutionMississippi State University, Starkville, United Statesen
dc.contributor.institutionNagoya University, Nagoya, Japanen
dc.contributor.institutionUniversity of Tokyo, Tokyo, Japanen
kaust.grant.numberKUK-I1-005-04en
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