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ファイル | 記述 | サイズ | フォーマット | |
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PhysRevE.98.020201.pdf | 403.14 kB | Adobe PDF | 見る/開く |
タイトル: | Collective 1/f fluctuation by pseudo-Casimir-invariants |
著者: | Yamaguchi, Yoshiyuki Y. Kaneko, Kunihiko |
著者名の別形: | 山口, 義幸 |
発行日: | Aug-2018 |
出版者: | American Physical Society (APS) |
誌名: | Physical Review E |
巻: | 98 |
号: | 2 |
論文番号: | 020201(R) |
抄録: | In this study, we propose a universal scenario explaining the 1/f fluctuation, including pink noises, in Hamiltonian dynamical systems with many degrees of freedom under long-range interaction. In the thermodynamic limit, the dynamics of such systems can be described by the Vlasov equation, which has an infinite number of Casimir invariants. In a finite system, they become pseudoinvariants, which yield quasistationary states. The dynamics then exhibit slow motion over them, up to the timescale where the pseudo-Casimir-invariants are effective. Such long-time correlation leads to 1/f fluctuations of collective variables, as is confirmed by direct numerical simulations. The universality of this collective 1/f fluctuation is demonstrated by taking a variety of Hamiltonians and changing the range of interaction and number of particles. |
著作権等: | ©2018 American Physical Society |
URI: | http://hdl.handle.net/2433/234093 |
DOI(出版社版): | 10.1103/PhysRevE.98.020201 |
PubMed ID: | 30253593 |
出現コレクション: | 学術雑誌掲載論文等 |
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