2005/09/15 by V. Lisý, V. Lisy, Jana Tóthová +6
Engineering · Environmental Science · Physics and Astronomy · #Elasticity and Wave Propagation #Environmental and Industrial Safety #Experimental and Theoretical Physics Studies #cond-mat.soft
paper · pdf · doi:10.48550/arxiv.cond-mat/0509398
The work presented at the Annual Conference in Ukraine "Statistical Physics 2005: Modern Problems and New Applications", August 28-30, 2005, Lviv, Ukraine
arxiv created 2005/09/15 · arxiv updated 2009/12/01
We propose a theory of the dynamics of polymers in dilute solution, in which the popular Zimm and Rouse models are limiting cases of 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 solution they both show a transition to the (exactly) Rouse behavior. The shear viscosity of the solution, the Huggins coefficient and other quantities are calculated and shown to be notably different from the known results.