Copolymers at selective interfaces: settled issues and open problems

2010/10/27 by Francesco Caravenna, Caravenna, Francesco, Giambattista Giacomin +3
Mathematics · #60K35 #82B41 #82B44 #FOS: Mathematics #Probability (math.PR) #math.PR #msc:60K35 #msc:82B41 #msc:82B44

paper · pdf · doi:10.48550/arxiv.1010.5587

In honor of Erwin Bolthausen on the occasion of his 65th birthday. 22 pages, 3 figures

arxiv created 2010/10/27 · arxiv updated 2010/10/28

Abstract

We review the literature on the localization transition for the class of polymers with random potentials that goes under the name of copolymers near selective interfaces. We outline the results, sketch some of the proofs and point out the open problems in the field. We also present in detail some alternative proofs that simplify what one can find in the literature.

Related

• Periodic copolymers at selective interfaces: A large deviations approach
• Random copolymers at a selective interface: many chains with excluded volume interactions
• A copolymer near a selective interface: variational characterization of the free energy
• Polymer pinning at an interface
• Copolymer at selective interfaces and pinning potentials: weak coupling limits