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Kim, Jaeup U.
Nanostructured Polymer Materials Theory Lab
Research Interests
  • block copolymers, soft matter, nanostructures & patterning, machine learning

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Finite-stretching corrections to the Milner-Witten-Cates theory for polymer brushes

Cited 21 times inthomson ciCited 15 times inthomson ci
Title
Finite-stretching corrections to the Milner-Witten-Cates theory for polymer brushes
Author
Kim, Jaeup U.Matsen, M. W.
Keywords
Entropic repulsion; Milner-Witten-Cates theory; Translational entropy
Issue Date
2007-06
Publisher
SPRINGER
Citation
EUROPEAN PHYSICAL JOURNAL E, v.23, no.2, pp.135 - 144
Abstract
This paper investigates finite-stretching corrections to the classical Milner-Witten-Cates theory for semi-dilute polymer brushes in a good solvent. The dominant correction to the free energy originates from an entropic repulsion caused by the impenetrability of the grafting surface, which produces a depletion of segments extending a distance μ L -1 from the substrate, where L is the classical brush height. The next most important correction is associated with the translational entropy of the chain ends, which creates the well-known tail where a small population of chains extend beyond the classical brush height by a distance ξ L -1/3. The validity of these corrections is confirmed by quantitative comparison with numerical self-consistent field theory.
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DOI
10.1140/epje/i2007-10188-1
ISSN
1292-8941
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PHY_Journal Papers
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