The joint Rouse-Zimm theory of the dynamics of polymers in dilute solutions

• Veröffentlicht in: Condensed Matter Physics
• Datum: 2006
• Hauptverfasser: Lisy, V., Tothova, J., Zatovsky, A.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут фізики конденсованих систем НАН України 2006
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/121288
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: 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.

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.