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I consider the possibility that Gaussian random walk statistics aresufficient to trap nanoscopic additives at either a polymer interface orsurface. When an additive particle goes to the free surface, two portions ofthe polymer surface energy behave quite differently. The purely enthalpiccontribution increases the overall free energy when the additive protrudesabove the level of the polymer matrix. The entropic part of the surface energyarising from constraints that segments near a surface can't cross it, is partlyrelaxed when the additive moves to the free surface. These two portions of thepolymer surface energy determine the equilibrium wetting angle formed betweenthe additive and the polymer matrix, the measurement of which in an experimentwould allow an independent determination of each piece of the polymer surfaceenergy.

Entropic Trapping of Particles at Polymer Surfaces and Interfaces