We consider a model for a polymer chain interacting with a sequence of equispaced flat interfaces through a pinning potential. The intensity δ ∈ ℝ of the pinning interaction is constant, while the interface spacing T = TN is allowed to vary with the size N of the polymer. Our main result is the explicit determination of the scaling behavior of the model in the large N limit, as a function of (TN)N and for fixed δ > 0. In particular, we show that a transition occurs at T N = O(log N). Our approach is based on renewal theory. © Institute of Mathematical Statistics, 2009.

Caravenna, F., Petrelis, N. (2009). A polymer in a multi-interface medium. THE ANNALS OF APPLIED PROBABILITY, 19(5), 1803-1839 [10.1214/08-AAP594].

A polymer in a multi-interface medium

CARAVENNA, FRANCESCO;
2009

Abstract

We consider a model for a polymer chain interacting with a sequence of equispaced flat interfaces through a pinning potential. The intensity δ ∈ ℝ of the pinning interaction is constant, while the interface spacing T = TN is allowed to vary with the size N of the polymer. Our main result is the explicit determination of the scaling behavior of the model in the large N limit, as a function of (TN)N and for fixed δ > 0. In particular, we show that a transition occurs at T N = O(log N). Our approach is based on renewal theory. © Institute of Mathematical Statistics, 2009.
Articolo in rivista - Articolo scientifico
Localization/delocalization transition; Pinning model; Polymer model; Random walk; Renewal theory;
English
2009
19
5
1803
1839
none
Caravenna, F., Petrelis, N. (2009). A polymer in a multi-interface medium. THE ANNALS OF APPLIED PROBABILITY, 19(5), 1803-1839 [10.1214/08-AAP594].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/21223
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