The quenched critical point of a diluted disordered polymer model

STOCHASTIC PROCESSES AND THEIR APPLICATIONS

卷:119

Article

Bolthausen, Erwin²  Caravenna, Francesco¹  de Tiliere, Beatrice³ 

[1] Univ Padua, Dipartimento Matemat Pura & Applicata, I-35121 Padua, Italy

[2] Univ Zurich, Inst Math, CH-8057 Zurich, Switzerland

[3] Univ Neuchatel, Inst Math, CH-2007 Neuchatel, Switzerland

关键词: Polymer model;    Copolymer;    Pinning model;    Wetting model;    Phase transition;    Renormalization;    Coarse-graining;   

DOI  :  10.1016/j.spa.2008.07.008

来源: Elsevier

【 摘 要 】

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. (C) 2008 Elsevier B.V. All rights reserved.

【 授权许可】

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