The joint Rouse-Zimm theory of the dynamics of polymers in dilute solutions
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 th...
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| Date: | 2006 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут фізики конденсованих систем НАН України
2006
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| Series: | Condensed Matter Physics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/121288 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | The joint Rouse-Zimm theory of the dynamics of polymers in dilute solutions / V. Lisy, J. Tothova, A. Zatovsky // Condensed Matter Physics. — 2006. — Т. 9, № 1(45). — С. 95-102. — Бібліогр.: 23 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | 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. |
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