Journal Article10.1063/1.434358
Polymer dynamics in a binary critical mixture
Carolyn Duzy,Raymond Kapral +1 more
2
TL;DR: In this paper, the dynamic structure factor of a dilute solution of flexible polymer molecules in a binary mixture near the critical point is studied using mode coupling techniques, and a set of equations is derived which describes the decay of the coupled solvent and polymer modes.
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Abstract: The dynamic structure factor of a dilute solution of flexible polymer molecules in a binary mixture near the critical point is studied using mode coupling techniques. The strong concentration fluctuations of the solvent near the criticcal point lead to modifications of the hydrodynamic interactions between the monomer units in a chain. A set of equations is derived which describes the decay of the coupled solvent and polymer modes. The critical fluctuations of the solvent lead to a change in the wave vector dependence of the dynamic structure factor and a change in the center of mass diffusion coefficient of the polymer.
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Citations
Mode Coupling Calculations of Critical Phenomena and Polymer Dynamics
Raymond Kapral
- 01 Jan 1978
TL;DR: In this article, the authors carried out a fairly extensive set of calculations for the Rayleigh linewidth and shear viscosity of Xe3-5, including the lowest order vertex and frequency corrections, all background terms and non-Ornstein-Zernicke corrections.
A microscopic treatment of the friction tensor of a polymer in dilute solution
TL;DR: In this paper, mode coupling techniques are used to derive, from the exact equation of motion, an expression for the diffusion tensor and hence the friction tensor, of a polymer chain in dilute solution.
References
Kinetic equations and time correlation functions of critical fluctuations.
Kyozi Kawasaki,Kyozi Kawasaki +1 more
TL;DR: In this paper, the Boltzmann equation of dilute gases was derived with the aid of a generalized Langevin equation due to Mori, which was then used to obtain selfconsistent closed equations to determine time correlation functions of critical fluctuations.
1K
Shear viscosity and order parameter dynamics of fluids near the critical point
TL;DR: In this paper, a simple modification of the mode-coupling equations is presented, which relates the shear viscosity to the decay rate of order parameter fluctuations of simple fluids and binary mixtures near their critical points.
104
Conformation of a polymer chain in certain mixed solvents
TL;DR: In this article, a solvent mixture AB close to a critical (demixing) point Tc, there should exist an indirect interaction between two solute monomers (C1 C2), which is attractive and of long range (the range being the correlation length 03BE of the AB system).