著者
Ooshida, Takeshi Department of Mechanical and Physical Engineering, Tottori University 鳥取大学研究者総覧 KAKEN研究者をさがす
Otsuki, Michio Graduate School of Engineering Science, Osaka University
キーワード
single-file diffusion
displacement correlation
uctuation-response relation
Einstein relation
Dean-Kawasaki equation
mode-coupling theory
ageing
抄録
Spatiotemporally correlated motions of interacting Brownian particles, confined in a narrow channel of infinite length, are studied in terms of statistical quantities involving two particles. A theoretical framework that allows analytical calculation of two-tag correlations is presented on the basis of the Dean-Kawasaki equation describing density uctuations in colloidal systems. In the equilibrium case, the time-dependent Einstein relation holds between the two-tag displacement correla- tion and the response function corresponding to it, which is a manifestation of the uctuation-dissipation theorem for the correlation of density uctuations. While the standard procedure of closure approximation for nonlinear density uctuations is known to be obstructed by inconsistency with the uctuation-dissipation theorem, this difficulty is naturally avoided by switching from the standard Fourier representation of the density field to the label-based Fourier representation of the vacancy field. In the case of ageing dynamics started from equidistant lattice configuration, the time-dependent Einstein relation is violated, as the two-tag correlation depends on the waiting time for equilibration while the response function is not sensitive to it. Within linear approximation, however, there is a simple relation between the density (or vacancy) uctuations and the corresponding response function, which is valid even if the system is out of equilibrium. This non-equilibrium uctuation-response relation can be extended to the case of nonlinear uctuations by means of closure approximation for the vacancy field.
出版者
IOP Publishing
資料タイプ
学術雑誌論文
外部リンク
ISSN・ISBN
1361648X
書誌ID
AA12471247
掲載誌名
Journal of physics. Condensed matter
最新掲載誌名
Journal of physics. Condensed matter
30
37
開始ページ
374001
発行日
2018-08-21
出版者DOI
著者版フラグ
著者版
著作権表記
© 2018 IOP Publishing Ltd
掲載情報
This work was published by IOP Publishing.: Takeshi Ooshida and Michio Otsuki. Two-tag correlations and nonequilibrium fluctuation–response relation in ageing single-file diffusion. Journal of Physics: Condensed Matter. 2018, 30(37), 374001. DOI: https://doi.org/10.1088/1361-648X/aad4cc
部局名
工学部・工学研究科
言語
英語