Copolymer at a selective interface and two dimensional wetting: a grand canonical approach

Details Copolymer at a selective interface and two dimensional wetting: a grand canonical approach Copolymer at a selective interface and two dimensional wetting: a grand canonical approach

2000-04-10

arxiv.org/abs/cond-mat/0004141v2

Physics

Condensed Matter

Soft Condensed Matter

27 pages, 3 eps figures. Some misprints corrected

Scientific paper

10.1007/PL00011066

We consider two different problems involving the localization of a single polymer chain: (i) a periodic $AB$ copolymer at a selective fluid-fluid interface, with the upper (resp. lower) fluid attracting $A$ (resp. $B$) monomers (ii) a homopolymer chain attracted to a hard wall (wetting). Self avoidance is neglected in both models, which enables us to study their localization transition in a grand canonical approach. We recover the results obtained in previous studies via transfer matrix methods. Moreover, we calculate in this way the loop length distribution functions in the localized phase. Some finite size effects are also determined and tested numerically.

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