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

Caravenna, Francesco; Pétrélis, Nicolas

Ann. Appl. Probab. 19, No. 5, 1803-1839 (2009).

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.

Reviewer: Anatoliy Pogorui (Zhytomyr)

MSC:

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

Keywords:

Localization/delocalization transition; pinning model; polymer model; random walk; renewal theory

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