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  1. B200 工学部/工学研究科
  2. B200a 雑誌掲載論文
  3. 学術雑誌

Application of projection operator method to coarse-grained dynamics with transient potential

http://hdl.handle.net/2237/0002003777
http://hdl.handle.net/2237/0002003777
e2dd1837-9878-48c2-91d3-ba8a2a678fce
名前 / ファイル ライセンス アクション
PhysRevE_105_044117.pdf PhysRevE_105_044117.pdf (403 KB)
Item type itemtype_ver1(1)
公開日 2022-09-14
タイトル
タイトル Application of projection operator method to coarse-grained dynamics with transient potential
言語 en
著者 Uneyama, Takashi

× Uneyama, Takashi

en Uneyama, Takashi

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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 © 2022 American Physical Society
内容記述
内容記述 We show that the coarse-grained dynamics model with the time-dependent and fluctuating potential (transient potential) can be derived from the microscopic Hamiltonian dynamics. The concept of the transient potential was first introduced rather phenomenologically, and its relation to the underlying microscopic dynamics has not been clarified yet. This is in contrast to the generalized Langevin equation, the relation of which to the microscopic dynamics is well-established. In this work, we show that the dynamic equations with the transient potential can be derived for the coupled oscillator model, without any approximations. It is known that the dynamics of the coupled oscillator model can be exactly described by the generalized Langevin-type equations. This fact implies that the dynamic equations with the transient potential can be utilized as a coarse-grained dynamics model in a similar way to the generalized Langevin equation. Then we show that the dynamic equations for the transient potential can also be formally derived for the microscopic Hamiltonian dynamics, without any approximations. We use the projection operator method for the coarse-grained variables and transient potential. The dynamic equations for the coarse-grained positions and momenta are similar to those in the Hamiltonian dynamics, but the interaction potential is replaced by the transient potential. The dynamic equation for the transient potential is the generalized Langevin equation with the memory effect. Our result justifies the use of the transient potential to describe the coarse-grained dynamics. We propose several approximations to obtain the simplified dynamics model. We show that, under several approximations, the dynamic equation for the transient potential reduces to the relatively simple Markovian dynamic equation for the potential parameters. We also show that with several additional approximations, the approximate dynamics model further reduces to the Markovian Langevin-type equations with the transient potential.
言語 en
内容記述タイプ Abstract
出版者
言語 en
出版者 American Physical Society
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
関連情報
関連タイプ isVersionOf
識別子タイプ DOI
関連識別子 https://doi.org/10.1103/PhysRevE.105.044117
収録物識別子
収録物識別子タイプ PISSN
収録物識別子 2470-0045
書誌情報 en : Physical Review E

巻 105, 号 4, p. 044117, 発行日 2022-04-14
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