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Efficiency of rejection-free dynamic Monte Carlo methods for homogeneous spin models, hard disk systems, and hard sphere systems
http://hdl.handle.net/2237/7148
http://hdl.handle.net/2237/7148e1569eaa-f008-49a3-a670-bcf68c007c86
名前 / ファイル | ライセンス | アクション |
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2006-11-30 | |||||
タイトル | ||||||
タイトル | Efficiency of rejection-free dynamic Monte Carlo methods for homogeneous spin models, hard disk systems, and hard sphere systems | |||||
言語 | en | |||||
著者 |
Watanabe, Hiroshi
× Watanabe, Hiroshi× Yukawa, Satoshi× Novotny, M. A.× Ito, Nobuyasu |
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アクセス権 | ||||||
アクセス権 | open access | |||||
アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||
権利 | ||||||
言語 | en | |||||
権利情報 | Copyright: American Physical Society, All rights reserved. | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | We construct asymptotic arguments for the relative efficiency of rejection-free Monte Carlo (MC) methods compared to the standard MC method. We find that the efficiency is proportional to exp(constβ) in the Ising, √β in the classical XY, and βin the classical Heisenberg spin systems with inverse temperature β, regardless of the dimension. The efficiency in hard particle systems is also obtained, and found to be proportional to (ρ_{cp} −ρ)^{−d} with the closest packing density ρ_{cp}, density ρ, and dimension d of the systems. We construct and implement a rejection-free Monte Carlo method for the hard-disk system. The RFMC has a greater computational efficiency at high densities, and the density dependence of the efficiency is as predicted by our arguments. | |||||
言語 | en | |||||
出版者 | ||||||
出版者 | The American Physical Society | |||||
言語 | en | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源タイプresource | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | journal article | |||||
出版タイプ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
DOI | ||||||
関連タイプ | isVersionOf | |||||
識別子タイプ | DOI | |||||
関連識別子 | https://doi.org/10.1103/PhysRevE.74.026707 | |||||
ISSN | ||||||
収録物識別子タイプ | PISSN | |||||
収録物識別子 | 1539-3755 | |||||
書誌情報 |
en : Physical Review E 巻 74, 号 2, p. 026707-026707, 発行日 2006-08 |
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値 | application/pdf | |||||
著者版フラグ | ||||||
値 | publisher | |||||
URI | ||||||
識別子 | http://hdl.handle.net/2237/7148 | |||||
識別子タイプ | HDL |