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Free Energy of a Non-Gaussian Polymer Brush

✍ Scribed by Victor M. Amoskov; Victor A. Pryamitsyn


Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
97 KB
Volume
12
Category
Article
ISSN
1022-1344

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✦ Synopsis


Abstract

An analytical theory describing layers of polymer chains grafted to a planar surface (i.e. polymer brush) is developed. We consider a brush of chains with finite extensibility (or non‐Gaussian brush) within the framework of molecular field theory. An analytical solution for free energy of the brush and a few other brush characteristics are obtained and studied. Comparison with other known models of a brush is also made.

Chain extensibility E(x, y) for Gaussian model (dashed lines) and BCC model (solid lines) for a few chain end positions y (numbers near curves).

imageChain extensibility E(x, y) for Gaussian model (dashed lines) and BCC model (solid lines) for a few chain end positions y (numbers near curves).


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## Abstract The configurational, or elastic, free energy __A__~el~ of a polymer chain is discussed in terms of the Fourier configurational approach. The importance of accounting for all degrees of freedom of the chain is shown in comparison with affine mean‐field theories and with scaling theories