Membranes with anchored polymers at the adsorption transition

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Abstract
Polymers which are anchored to membranes exert bending moments onto these membranes. It is shown by general scaling arguments and explicit calculations for ideal chains i) that the polymer-induced \spontaneous" curvature Msp has the scaling form ›sp(†N`)=N" , where N and † are the chain length and the distance from the adsorption-desorption transition, respectively, and ii) that Msp changes its sign close to this transition. Thus, if the polymer and the membrane experience efiectively attractive and repulsive interactions, the membrane is bent towards and away from the polymer, respectively.

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