%0 Book Section %1 statphys23_0846 %A Chervanyov, A.I. %A Heinrich, G. %B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics %C Genova, Italy %D 2007 %E Pietronero, Luciano %E Loreto, Vittorio %E Zapperi, Stefano %K adsorption density edwards equation patterned polymer statphys23 structure surface topic-7 %T Transfer operator formalism with applications to the adsorption of polymers onto chemically non-uniform surfaces. %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=846 %X By developing and making use of the transfer operator formalism we theoretically investigate the adsorption of polymers onto chemically non-uniform surfaces. The developed approach makes it possible to solve the self-consistent field equations that describe the density structure of polymers adsorbed onto periodically and randomly patterned surfaces. We have calculated the polymer density excess near the patterned surface as a function of the typical size of the pattern-to-polymer gyration radius ratio, with the effect of the excluded volume taken into account. The obtained results are applied to the investigation of the polymer adsorption onto several host systems of practical importance, presented by the following two examples. The first example of the mentioned systems that has been in extensive experimental use is given by the periodic structure of aligned randomly oriented carbon nanotubes that provide a set of periodically distributed centers that adsorb polymers. The second example is the binary mixed brush, the recently developed self-adoptive material that changes its morphology in response to altering external conditions. By making use of the developed formalism, we quantitatively show that the relation between typical sizes of the surface patterns and polymers is the main factor that affects the polymer adsorption onto the above described surfaces. In the case of soft adsorbing surfaces given by the mixed brushes, we show that the competition between the depletion effect on the polymer structure in the interior of the brush and the binding interaction between the polymers and the brush surface leads to a rich adsorption-desorption behaviour of polymers. In this case, the reversible switching between different morphologies of the mixed brush proves can be effectively used to enhance or reduce the adsorption of polymers, depending on practical needs.

@incollection{statphys23_0846, abstract = {By developing and making use of the transfer operator formalism we theoretically investigate the adsorption of polymers onto chemically non-uniform surfaces. The developed approach makes it possible to solve the self-consistent field equations that describe the density structure of polymers adsorbed onto periodically and randomly patterned surfaces. We have calculated the polymer density excess near the patterned surface as a function of the typical size of the pattern-to-polymer gyration radius ratio, with the effect of the excluded volume taken into account. The obtained results are applied to the investigation of the polymer adsorption onto several host systems of practical importance, presented by the following two examples. The first example of the mentioned systems that has been in extensive experimental use is given by the periodic structure of aligned randomly oriented carbon nanotubes that provide a set of periodically distributed centers that adsorb polymers. The second example is the binary mixed brush, the recently developed self-adoptive material that changes its morphology in response to altering external conditions. By making use of the developed formalism, we quantitatively show that the relation between typical sizes of the surface patterns and polymers is the main factor that affects the polymer adsorption onto the above described surfaces. In the case of soft adsorbing surfaces given by the mixed brushes, we show that the competition between the depletion effect on the polymer structure in the interior of the brush and the binding interaction between the polymers and the brush surface leads to a rich adsorption-desorption behaviour of polymers. In this case, the reversible switching between different morphologies of the mixed brush proves can be effectively used to enhance or reduce the adsorption of polymers, depending on practical needs.}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Chervanyov, A.I. and Heinrich, G.}, biburl = {https://www.bibsonomy.org/bibtex/2779358d1c653072142ab6d5bf790300d/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {206dc0647a20fb7a1ac2f379538b28a7}, intrahash = {779358d1c653072142ab6d5bf790300d}, keywords = {adsorption density edwards equation patterned polymer statphys23 structure surface topic-7}, month = {9-13 July}, timestamp = {2007-06-20T10:16:30.000+0200}, title = {Transfer operator formalism with applications to the adsorption of polymers onto chemically non-uniform surfaces.}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=846}, year = 2007 }