Segmental concentration profiles of end‐tethered polymers with excluded‐volume and surface interactions

作者: Maria Adamuţi‐Trache , William E. McMullen , Jack F. Douglas

DOI: 10.1063/1.472991

关键词: Surface (mathematics)ThermodynamicsRenormalization groupPolymerComputational chemistryRenormalizationIdeal (ring theory)Chain (algebraic topology)GaussianExcluded volumeMaterials science

摘要: The segmental concentration profile ρ of end‐tethered flexible polymer chains is calculated for comparison with recent measurements on layers having a low surface grafting density σ. Moments are also as these quantities, rather than the full profiles, usually measured experimentally. Exact calculations summarized ideal an arbitrary short‐range polymer–surface interaction. Though technical difficulties restrict our renormalization group (RG) swollen to limiting values interaction, analysis indicates that relatively simple, closed‐form, Gaussian‐chain expression provides good approximation RG results if average size Gaussian chain replaced by its swollen‐chain analog. This approximate excluded volume and variable interaction should prove useful when interpreting experimental low‐grafti...

参考文章(32)
Gary S. Grest, Michael Murat, Structure of grafted polymeric brushes in solvents of varying quality: a molecular dynamics study Macromolecules. ,vol. 26, pp. 3108- 3117 ,(1993) , 10.1021/MA00064A019
Shi Qing Wang, Karl F. Freed, Jack F. Douglas, Flexible polymers with excluded volume at a penetrable interacting surface Macromolecules. ,vol. 20, pp. 543- 551 ,(1987) , 10.1021/MA00169A013
P.G. de Gennes, Polymers at an interface; a simplified view Advances in Colloid and Interface Science. ,vol. 27, pp. 189- 209 ,(1987) , 10.1016/0001-8686(87)85003-0
P. G. de Gennes, Conformations of Polymers Attached to an Interface Macromolecules. ,vol. 13, pp. 1069- 1075 ,(1980) , 10.1021/MA60077A009
Terence Cosgrove, Timothy Heath, Boudewijin Van Lent, Frans Leermakers, Jan Scheutjens, Configuration of terminally attached chains at the solid/solvent interface: self-consistent field theory and a Monte Carlo model Macromolecules. ,vol. 20, pp. 1692- 1696 ,(1987) , 10.1021/MA00173A041
A. Karim, V. V. Tsukruk, J. F. Douglas, S. K. Satija, L. J. Fetters, D. H. Reneker, M. D. Foster, Self-Organization of Polymer Brush Layers in a Poor Solvent Journal De Physique Ii. ,vol. 5, pp. 1441- 1456 ,(1995) , 10.1051/JP2:1995193
S S Patel, M Tirrell, Measurement of Forces Between Surfaces in Polymer Fluids Annual Review of Physical Chemistry. ,vol. 40, pp. 597- 635 ,(1989) , 10.1146/ANNUREV.PC.40.100189.003121
Hans J. Weber, George B. Arfken, Mathematical methods for physicists mmp. ,(1970)