Simple model for grafted polymer brushes

Langmuir : the ACS Journal of Surfaces and Colloids
Marian Manciu, Eli Ruckenstein

Abstract

The first theories of grafted polymer brushes assumed a step profile for the monomer density. Later, the real density profile was obtained from Monte Carlo or molecular dynamics simulations and calculated numerically using a self-consistent field theory. The analytical approximations of the solutions of the self-consistent field equations provided a parabolic dependence of the self-consistent field, which in turn led to a parabolic distribution for the monomer density in neutral brushes. As shown by numerical simulations, this model is not accurate for dense polymer brushes, with highly stretched polymers. In addition, the scaling laws obtained from the analytical approximations of the self-consistent field theory are identical to those derived from the earlier step-profile-approximation and predict a vanishing thickness of the brush at low graft densities, and a thickness exceeding the length of the polymer chains at high graft densities. Here a simple model is suggested to calculate the monomer density and the interaction between surfaces with grafted polymer brushes, based on an approximate calculation of the partition function of the polymer chains. The present model can be employed for both good and poor solvents, is compa...Continue Reading

References

Aug 1, 2000·Colloids and Surfaces. B, Biointerfaces·M A Carignano, I Szleifer

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Citations

Dec 3, 2014·Colloids and Surfaces. B, Biointerfaces·K KaladharC P Sharma
Jul 25, 2013·The Journal of Physical Chemistry. B·Marian ManciuEli Ruckenstein
Nov 9, 2012·Langmuir : the ACS Journal of Surfaces and Colloids·Haohao Huang, Eli Ruckenstein
Nov 16, 2010·Journal of Colloid and Interface Science·Marian Manciu, Eli Ruckenstein
Mar 8, 2018·Advanced Materials·Lukas MichalekChristopher Barner-Kowollik
Jun 4, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Da-Ming ZhuXianbin Du
Sep 8, 2004·Langmuir : the ACS Journal of Surfaces and Colloids·Marian Manciu, Eli Ruckenstein
Mar 22, 2006·Langmuir : the ACS Journal of Surfaces and Colloids·Haohao Huang, Eli Ruckenstein

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