Coarsening and Pinning in the Self-consistent Solution of Polymer Blends Phase-Separation Kinetics

Details Coarsening and Pinning in the Self-consistent Solution of Polymer Blends Phase-Separation Kinetics Coarsening and Pinning in the Self-consistent Solution of Polymer Blends Phase-Separation Kinetics

1997-07-25

arxiv.org/abs/cond-mat/9707268v1

Physics

Condensed Matter

Statistical Mechanics

16 pages, 5 figures. Submitted to Phys. Rev. E

Scientific paper

10.1103/PhysRevE.57.672

We study analytically a continuum model for phase-separation in binary polymer blends based on the Flory-Huggins-De Gennes free energy, by means of the self-consistent large-$n$ limit approach. The model is solved for values of the parameters corresponding to the weak and strong segregation limits. For deep quenches we identify a complex structure of intermediate regimes and crossovers characterized by the existence of a time domain such that phase separation is pinned, followed by a preasymptotic regime which in the scalar case corresponds to surface diffusion. The duration of the pinning is analytically computed and diverges in the strong segregation limit. Eventually a late stage dynamics sets in, described by scaling laws and exponents analogous to those of the corresponding small molecule systems.

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