A polymer in a multi-interface medium. (English) Zbl 1206.60089

The author considers a model for a polymer chain interacting with a sequence of equispaced flat interfaces through a pinning potential. The intensity of the pinning interaction is constant, while the interface spacing \(T\) is allowed to vary with the size \(N\) of the polymer. The main result is the explicit determination of the scaling behavior of the model in the large \(N\) limit, as a function of \(T\) and for fixed positive intensity. The approach is based on renewal theory.


60K35 Interacting random processes; statistical mechanics type models; percolation theory
60F05 Central limit and other weak theorems
82B41 Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics
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