Dynamics of Polydisperse Polymer Mixtures

Abstract

We develop a general analysis of the diffusive dynamics of polydisperse polymers in the presence of chemical potential gradients, within the context of the tube model (with all species entangled). We obtain a set of coupled dynamical equations for the time evolution of the polymeric densities with explicitly derived coefficients. For the case of chemical polydispersity (a set of chains that are identical except for having a continuous spectrum of enthalpic interaction strengths) the coupled equations can be fully solved in certain cases. For these we study the linearised mode spectrum following a quench through the spinodal, with and without a passive (polymeric) solvent. We also study the more conventional case of length polydisperse chains in a poor solvent.

21 pages, 3 figures,revised version

References in corpus (2)

• A practical density functional for polydisperse polymers
• Diffusive growth of polydisperse hard-sphere crystals

Cited by in corpus (5)

• Composition Dependent Instabilities in Mixtures With Many Components
• Phase separation dynamics of polydisperse colloids: a mean-field lattice-gas theory
• Phase separation of mixtures after a second quench: composition heterogeneities
• Nonequilibrium mixture dynamics: A model for mobilities and its consequences
• Mobility-induced kinetic effects in multicomponent mixtures