Correlations in Grafted Polymer Layers

J. F. Marko*, T. A. Witten

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

76 Scopus citations


We discuss compositional fluctuations in densely end-grafted polymers when two species of chains are present. When the two species are identical except for labeling, we relate the two-point spatial correlation function of local composition to density-density correlations within a single chain and calculate it under melt and solvent-swollen conditions. We deduce structure factors that could be observed in scattering from a layer composed of two chain species that differ only in their coupling to the scatterers. We generalize these results to describe compositional fluctuations when the two species have a nonzero free energy of mixing. These fluctuations diverge at a critical molecular weight. We analyze the divergence to corroborate the recently predicted phase transition to a “rippled” phase.

Original languageEnglish (US)
Pages (from-to)296-307
Number of pages12
Issue number1
StatePublished - Jan 1 1992

ASJC Scopus subject areas

  • Organic Chemistry
  • Polymers and Plastics
  • Inorganic Chemistry
  • Materials Chemistry


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