Abstract
An analysis of the free energy of distortion of a molten polymer brush, such as a layer of block copolymer at an air interface, is reported. Within the Alexander-de Gennes approximation of a delta function distribution of chain ends, but rigorously enforcing incompressibility, the change in the free energy of a brush associated with a small-amplitude sinusoidal displacement of the free surface about the equilibrium height is calculated. Unlike the surface of a liquid, long-wavelength modes in a brush are suppressed due to the lateral chain stretching required to maintain constant density
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