Bridging by adsorbed polymers between two surfaces

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Abstract
We analyze the adsorption of flexible polymers between two parallel plates separated a distance 2l. We consider a semidilute polymer solution in contact with the two adsorbing walls and describe the statistics of bridges and loops. A detailed mean‐field calculation allows us to obtain the size and density of bridges in two regimes: l≳ξ and l<ξ, where ξ is the bulk correlation length, as well as the size of loop and train sequences. These results are compared with a scaling analysis performed in the spirit of the self‐similar profile introduced by de Gennes.