NDLI: Response of a polymer network to the motion of a rigid sphere

Content Provider	Springer Nature Link
Author	Diamant, Haim
Copyright Year	2015
Abstract	In view of recent microrheology experiments we re-examine the problem of a rigid sphere oscillating inside a dilute polymer network. The network and its solvent are treated using the two-fluid model. We show that the dynamics of the medium can be decomposed into two independent incompressible flows. The first, dominant at large distances and obeying the Stokes equation, corresponds to the collective flow of the two components as a whole. The other, governing the dynamics over an intermediate range of distances and following the Brinkman equation, describes the flow of the network and solvent relative to one another. The crossover between these two regions occurs at a dynamic length scale which is much larger than the network's mesh size. The analysis focuses on the spatial structure of the medium's response and the role played by the dynamic crossover length. We examine different boundary conditions at the sphere surface. The large-distance collective flow is shown to be independent of boundary conditions and network compressibility, establishing the robustness of two-point microrheology at large separations. The boundary conditions that fit the experimental results for inert spheres in entangled F-actin networks are those of a free network, which does not interact directly with the sphere. Closed-form expressions and scaling relations are derived, allowing for the extraction of material parameters from a combination of one- and two-point microrheology. We discuss a basic deficiency of the two-fluid model and a way to bypass it when analyzing microrheological data.
Starting Page	1
Ending Page	11
Page Count	11
File Format	PDF
ISSN	12928941
Journal	The European Physical Journal E
Volume Number	38
Issue Number	5
e-ISSN	1292895X
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2015-05-12
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Flowing Matter: Liquids and Complex Fluids Soft and Granular Matter, Complex Fluids and Microfluidics Biophysics and Biological Physics Surfaces and Interfaces, Thin Films Nanotechnology Polymer Sciences Statistical Physics, Dynamical Systems and Complexity
Content Type	Text
Resource Type	Article
Subject	Chemistry Medicine Biophysics Materials Science Surfaces and Interfaces Biotechnology

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