Dynamics of Polydisperse Polymer Mixtures

Details Dynamics of Polydisperse Polymer Mixtures Dynamics of Polydisperse Polymer Mixtures

2002-04-25

arxiv.org/abs/cond-mat/0204555v2

Physics

Condensed Matter

Soft Condensed Matter

21 pages, 3 figures,revised version

Scientific paper

10.1021/ma020690m

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.

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