2018年12月
Singular behaviour of time-averaged stress fluctuations on surfaces
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
- ,
- 巻
- 12
- 号
- 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
- ID情報
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- DOI : 10.1088/1742-5468/aaf31c
- ISSN : 1742-5468
- Web of Science ID : WOS:000454314900002