The quenched critical point of a diluted disordered polymer model

Erwin Bolthausen, Francesco Caravenna and Béatrice de Tilière

Stochastic Processes and their Applications, 2009, vol. 119, issue 5, 1479-1504

Abstract: We consider a model for a polymer interacting with an attractive wall through a random sequence of charges. We focus on the so-called diluted limit, when the charges are very rare but have strong intensity. In this regime, we determine the quenched critical point of the model, showing that it is different from the annealed one. The proof is based on a rigorous renormalization procedure. Applications of our results to the problem of a copolymer near a selective interface are discussed.

Keywords: Polymer; model; Copolymer; Pinning; model; Wetting; model; Phase; transition; Renormalization; Coarse-graining (search for similar items in EconPapers)
Date: 2009
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