Abstract

We examine the bending of an Alexander–de Gennes polymer brush over a wide range of curvature from weak to strong. Two different models are used, a blob model and a simpler Flory mean field model. In both cases the height change upon bending is anomalous. In the case of a blob model the height increases for weak bending. In the Flory model there is no height change to first order in the curvature. This is in sharp contrast to more sophisticated theories for brushes with free ends, and may have applications to real-life Alexander–de Gennes brushes which have been synthesized recently.

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