Condensed Matter Physics, 2006, vol. 9, No. 1(45), p. 95-102, English
DOI:10.5488/CMP.9.1.95
Title:
The joint Rouse-Zimm theory of the dynamics of polymers in dilute solutions
Author(s):
 
| V.Lisy
(Institute of Physics, P.J.Safarik University, Jesenna 5,
041 54 Kosice, Slovakia)
,
|
 
| J.Tothova
(Institute of Physics,
P.J.Safarik University, Jesenna 5, 041 54 Kosice, Slovakia)
,
|
 
| A.Zatovsky
(Department of Theoretical Physics, I.I.Mechnikov
Odessa National University, 2, Dvoryanskaya Str., 65026 Odessa,
Ukraine)
|
We propose a theory of the dynamics of polymers in dilute
solution, in which the popular Zimm and Rouse models are just the
limiting cases of an infinitely large and small draining
parameter. The equation of motion for the polymer segments (beads)
is solved together with Brinkman's equation for the solvent
velocity that takes into account the presence of other polymer
coils in the solution. The equation for the polymer normal modes
is obtained and the relevant time correlation functions are found.
A tendency to the time-dependent hydrodynamic screening is
demonstrated on the diffusion of the polymers as well as on the
relaxation of their internal modes. With the growing concentration
of the coils in the solution, they both show a transition to the
exactly Rouse behaviour. The shear viscosity of the
solution, the Huggins coefficient and other quantities are
calculated and shown to be notably different from the known
results.
Key words: polymers, dynamics, dilute solution, rheology
PACS: 36.20.Fz, 36.20.-r, 82.35.Lr, 82.37.-j, 83.80.Rs
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