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Permanent URL to this publication: http://dx.doi.org/10.5167/uzh-21674

Bolthausen, E; Giacomin, G (2005). Periodic copolymers at selective interfaces: a large deviations approach. Annals of Applied Probability, 15(1B):963-983.

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We analyze a (1+1)-dimension directed random walk model of a polymer dipped in a medium constituted by two immiscible solvents separated by a flat interface. The polymer chain is heterogeneous in the sense that a single monomer may energetically favor one or the other solvent. We focus on the case in which the polymer types are periodically distributed along the chain or, in other words, the polymer is constituted of identical stretches of fixed length. The phenomenon that one wants to analyze is the localization at the interface: energetically favored configurations place most of the monomers in the preferred solvent and this can be done only if the polymer sticks close to the interface.

We investigate, by means of large deviations, the energy–entropy competition that may lead, according to the value of the parameters (the strength of the coupling between monomers and solvents and an asymmetry parameter), to localization. We express the free energy of the system in terms of a variational formula that we can solve. We then use the result to analyze the phase diagram.


5 citations in Web of Science®
7 citations in Scopus®
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25 downloads since deposited on 03 Feb 2010
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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Uncontrolled Keywords:Copolymers; localization–delocalization transition; energy–entropy competition; random walk; large deviations; Donsker–Varadhan theory
Deposited On:03 Feb 2010 07:36
Last Modified:05 Apr 2016 13:24
Publisher:Institute of Mathematical Statistics
Publisher DOI:10.1214/105051604000000800

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