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
http://iopscience.iop.org/article/10.1088/1361-648X/aad4cc
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
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