Three-Dimensional to Two-Dimensional Crossover in the Hydrodynamic Interactions between Micron-Scale Rods
File(s)
Accepted version
Author(s)
Di Leonardo, R
Cammarota, E
Bolognesi, G
Schäfer, H
Steinhart, M
Type
Journal Article
Abstract
Moving micron-scale objects are strongly coupled to each other by hydrodynamic interactions. The strength of this coupling decays with the inverse particle separation when the two objects are sufficiently far apart. It has been recently demonstrated that the reduced dimensionality of a thin fluid layer gives rise to longer-ranged, logarithmic coupling. Using holographic tweezers we show that microrods display both behaviors interacting like point particles in three dimensions at large distances and like point particles in two dimensions for distances shorter then their length. We derive a simple analytical expression that fits our data remarkably well and further validate it with finite element analysis.
Date Issued
2011-07-19
Date Acceptance
2011-07-19
Citation
Physical Review Letters, 2011, 107 (4)
ISSN
1079-7114
Publisher
American Physical Society
Journal / Book Title
Physical Review Letters
Volume
107
Issue
4
Copyright Statement
© 2011 American Physical Society
Identifier
http://arxiv.org/abs/1103.0242v1
Subjects
cond-mat.soft
cond-mat.stat-mech
General Physics
02 Physical Sciences
Publication Status
Published
Article Number
044501