A static and a dynamical model are introduced to study the physical properties of an elastic polymer adsorbed on a rigid membrane. We analyze the detailed microscopic model for the adhesion problem and show that in the force ensemble a critical force is expected. Forces smaller than the critical value are not able to peel off the filament, while larger forces will cause the filament to completely desorb from the membrane. To demonstrate the nonequilibrium properties of the moving states for forces larger than the critical value, we present the linear response of the system in the form of a force-velocity relation. In addition, we use a very simple short-range static model and obtain the equilibrium phases of the system in different cases where either a fixed force or a fixed height can be applied at the end. For the fixed force the equilibrium phases arising from the static model are in agreement with dynamical model. Forces smaller than the critical value are not able to peel off the filament while the larger forces will cause the filament to completely desorb as in the dynamical model.
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