論文

査読有り
2018年12月

Singular behaviour of time-averaged stress fluctuations on surfaces

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
  • Masato Itami
  • ,
  • Shin-ichi Sasa

12
開始ページ
123210
終了ページ
123210
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1088/1742-5468/aaf31c
出版者・発行元
IOP PUBLISHING LTD

We provide a method for calculating time-averaged stress fluctuations on surfaces in a viscous incompressible fluid at equilibrium. We assume that (i) the time-averaged fluctuating stress is balanced in equilibrium at each position and that (ii) the time-averaged fluctuating stress obeys a Gaussian distribution on the restricted configuration space given by (i). Using these assumptions with the Green-Kubo formula for the viscosity, we can derive the large deviation function of the time-averaged fluctuating stress. Then, using the saddle-point method for the large deviation function, we obtain the time-averaged surface stress fluctuations. As an example, for a fluid between two parallel plates, we study the time-averaged shear/normal stress fluctuations per unit area on the top plate at equilibrium. We show that the surface shear normal stress fluctuations are inversely proportional to the distance between the plates.

リンク情報
DOI
https://doi.org/10.1088/1742-5468/aaf31c
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000454314900002&DestApp=WOS_CPL
共同研究・競争的資金等の研究課題
時間対称性がつなぐエントロピーとダイナミクスの階層
ID情報
  • DOI : 10.1088/1742-5468/aaf31c
  • ISSN : 1742-5468
  • Web of Science ID : WOS:000454314900002

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