Finite-stretching corrections to the
Milner-Witten-Cates theory for polymer brushes |
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Authors: | J U Kim M W Matsen |
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Institution: | (1) Department of Mathematics, University of Reading, Whiteknights, Reading, RG6 6AX, UK |
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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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Keywords: | PACS" target="_blank">PACS 68 47 Pe Langmuir-Blodgett films on solids polymers on surfaces biological molecules on surfaces 61 41 +e Polymers elastomers and plastics |
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