2007/10/31 by V. Lisý, V. Lisy, Jana Tóthová +6
Chemical Engineering · Engineering · Materials Science · Physics and Astronomy · #FOS: Physical sciences #Granular flow and fluidized beds #Material Dynamics and Properties #Rheology and Fluid Dynamics Studies #Soft Condensed Matter (cond-mat.soft) #cond-mat.soft
paper · pdf · doi:10.48550/arxiv.0710.5834
A modified version of this paper will appear in Intern. Rev. Phys
openalex publication_date 2007/10/31 · arxiv created 2007/11/02 · arxiv updated 2011/11/09 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The screening of hydrodynamic interactions (HI) essentially affects macroscopic properties of polymeric solutions. This screening depends not only on the polymer concentration but has a dynamic nature. In the present work, a bead-spring theory is developed, in which this phenomenon is described for solutions of nonentangled polymer coils. The equation of motion for the beads of a test polymer is solved together with the Brinkman's equation for the solvent velocity that takes into account the presence of other coils in solution. The time correlation functions for the polymer normal modes are found. A tendency to the screening of HI is demonstrated on the coil diffusion as well as on the relaxation of its internal modes. With the growing concentration of the coils they both show a transition to the exact Rouse behavior. The viscosity of the solution and some other observable quantities are calculated. As the time increaes, the time-dependent quantities change their behavior from the Rouse regime through the Zimm one again to the Rouse dynamics at long times.