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We consider a self-avoiding walk model of polymer adsorption where theadsorbed polymer can be desorbed by the application of a force. In this paperthe force is applied normal to the surface at the last vertex of the walk. Weprove that the appropriate limiting free energy exists where there is anapplied force and a surface potential term, and prove that this free energy isconvex in appropriate variables. We then derive an expression for the limitingfree energy in terms of the free energy without a force and the free energywith no surface interaction. Finally we show that there is a phase boundarybetween the adsorbed phase and the desorbed phase in the presence of a force,prove some qualitative properties of this boundary and derive bounds on thelocation of the boundary.

Adsorbed self-avoiding walks subject to a force