Europhys. Lett.
Volume 70, Number 6, June 2005
Page(s) 726 - 732
Section General
Published online 18 May 2005
Europhys. Lett., 70 (6), pp. 726-732 (2005)
DOI: 10.1209/epl/i2004-10524-7

Layering transitions for adsorbing polymers in poor solvents

J. Krawczyk1, A. L. Owczarek1, T. Prellberg2 and A. Rechnitzer1

1  Department of Mathematics and Statistics, The University of Melbourne 3010, Australia
2  School of Mathematical Sciences, Queen Mary, University of London Mile End Road, London E1 4NS, UK

received 13 December 2004; accepted in final form 19 April 2005
published online 18 May 2005

An infinite hierarchy of layering transitions exists for model polymers in solution under poor solvent or low temperatures and near an attractive surface. A flat histogram stochastic growth algorithm known as FlatPERM has been used on a self- and surface interacting self-avoiding walk model for lengths up to 256. The associated phases exist as stable equilibria for large though not infinite length polymers and break the conjectured Surface Attached Globule phase into a series of phases where a polymer exists in specified layer close to a surface. We provide a scaling theory for these phases and the first-order transitions between them.

05.50.+q - Lattice theory and statistics (Ising, Potts, etc.).
05.70.Fh - Thermodynamics: Phase transitions: general studies.
61.41.+e - Polymers, elastomers, and plastics.

© EDP Sciences 2005