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October 2009 A polymer in a multi-interface medium
Francesco Caravenna, Nicolas Pétrélis
Ann. Appl. Probab. 19(5): 1803-1839 (October 2009). DOI: 10.1214/08-AAP594


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 TN=O(log N). Our approach is based on renewal theory.


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Francesco Caravenna. Nicolas Pétrélis. "A polymer in a multi-interface medium." Ann. Appl. Probab. 19 (5) 1803 - 1839, October 2009.


Published: October 2009
First available in Project Euclid: 16 October 2009

zbMATH: 1206.60089
MathSciNet: MR2569808
Digital Object Identifier: 10.1214/08-AAP594

Primary: 60F05 , 60K35 , 82B41

Keywords: Localization/delocalization transition , pinning model , Polymer model , Random walk , renewal theory

Rights: Copyright © 2009 Institute of Mathematical Statistics


Vol.19 • No. 5 • October 2009
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