This title appears in the Scientific Report :
2007
Please use the identifier:
http://hdl.handle.net/2128/3012 in citations.
Please use the identifier: http://dx.doi.org/10.1103/PhysRevE.76.051405 in citations.
Asymptotic analysis of tracer diffusivity in nonadsorbing polmyer solutions
Asymptotic analysis of tracer diffusivity in nonadsorbing polmyer solutions
We present an asymptotic and scaling analysis of the long-time self-diffusivity of a Brownian spherical particle in dilute polymer solutions with nonadsorbing chains. The polymer depletion zone near the particle surface is described by a continuous polymer density profile. Hydrodynamics formulated b...
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Personal Name(s): | Fan, T.-H. |
---|---|
Xie, B. / Tuinier, R. | |
Contributing Institute: |
Weiche Materie; IFF-7 |
Published in: | Physical Review E Physical review / E, 76 76 (2007 2007) 5 5, S. 051405 051405 |
Imprint: |
College Park, Md.
APS
2007
2007-11-16 2007-11-01 |
Physical Description: |
051405 |
DOI: |
10.1103/PhysRevE.76.051405 |
Document Type: |
Journal Article |
Research Program: |
Kondensierte Materie |
Series Title: |
Physical Review E
76 |
Subject (ZB): | |
Link: |
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Publikationsportal JuSER |
Please use the identifier: http://dx.doi.org/10.1103/PhysRevE.76.051405 in citations.
We present an asymptotic and scaling analysis of the long-time self-diffusivity of a Brownian spherical particle in dilute polymer solutions with nonadsorbing chains. The polymer depletion zone near the particle surface is described by a continuous polymer density profile. Hydrodynamics formulated by the modified Stokes equation with nonuniform viscosity is solved by a regular perturbation approximation using the Green function method. The asymptotes predict how polymer depletion alters the friction a spherical particle experiences during translational and rotational motion within a quiescent fluid. The analysis agrees very well with full numerical computation, which enables us to investigate the scaling law for the polymer-mediated retardation effect using a stretched exponential form that is commonly applied by experimentalists. The scaling exponents revealed are consistent with the nominal values from collected experiment observations. |