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. © 2008 Elsevier B.V. All rights reserved.
Bolthausen, E., Caravenna, F., De Tiliere, B. (2009). The quenched critical point of a diluted disordered polymer model. STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 119(5), 1479-1504 [10.1016/j.spa.2008.07.008].
The quenched critical point of a diluted disordered polymer model
CARAVENNA, FRANCESCO;
2009
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. © 2008 Elsevier B.V. All rights reserved.
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