Brownian motion in shear flow : Direct observation of anomalous diffusion

Orihara, Hiroshi; Takikawa, Yoshinori

Physical Review E, 2011, 84(6), 061120

Permalink : https://hdl.handle.net/2115/48132

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アクセス権	open access
URI	https://hdl.handle.net/2115/48132
タイトル	Brownian motion in shear flow : Direct observation of anomalous diffusion
著者	e-Rad_Researcher 30177307 著者名 Orihara, Hiroshi
著者	著者名 Takikawa, Yoshinori
言語	英語
キーワード	Brownian motion
	Convection
	Rheology
発行日	2011-12
出版者	American Physical Society
収録物名	Physical Review E
巻(号)	84(6)
ページ	061120
抄録	Brownian motion in a simple shear flow has been experimentally investigated by using a different method for observation and analysis. A number of polystyrene spheres dispersed in sheared water were tracked with a confocal scanning laser microscope, and the time dependences of their coordinates were obtained. Since in the usual mean-square displacement in the flow direction the contribution from the Brownian motion is overwhelmed by that due to the convection, we considered an alternative displacement for which the convection effect could be removed. We found that the new mean-square displacement consists of the normal Einstein diffusion term, which is linear in t, and an anomalous t3 term arising from the coupling between the diffusion along the velocity gradient and the convection.
資源タイプ	学術雑誌論文
出版タイプ	Version of Record
権利情報	©2011 American Physical Society
PISSN	1539-3755
関連情報	PMID 22304053
関連情報 (isIdenticalTo)	出版社版DOI https://doi.org/10.1103/PhysRevE.84.061120