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A generalized Zimm model: Hydrodynamic screening in polymer solutions

✍ Scribed by T. Tchesskaya


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
293 KB
Volume
150
Category
Article
ISSN
0167-7322

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✦ Synopsis


This work presents a phenomenological theory for the single-chain dynamics in semidilute and concentrated polymer solutions and allows to describe the crossover from Zimm to Rouse-like behavior both in time domain and in spatial domain. The polymer solution is described as a set of oscillators fixed in space and submerged in an incompressible fluid. It is shown that the coupled equations of motion of such a polymer system give rise to the time dependence of the Oseen-like tensor and, as a consequence, the time-dependent hydrodynamic screening length. Monomer mean-square displacements and the single-chain dynamic structure factor are calculated.


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Hydrodynamic interactions on dilute solutions of spherical beads under shear flow are calculated with the method of induced forces. The Navier-Stokes equation is considered in the Stokes approximation. Hydrodynamic interactions cause the drag to be anisotropic in space. Numerical solutions are obta