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We study the adsorption of polymer chains on a fluctuating surface. Physical examples are provided by polymer adsorption at the rough interface between two non-miscible liquids, or on a membrane. In a mean-field approach, we find that the…

Condensed Matter · Physics 2009-10-22 T. Garel , Mehran Kardar , H. Orland

This chapter deals with various aspects related to the adsorption of long chain-like macromolecules (polymers) onto solid surfaces. Physical aspects of the adsorption mechanism are elaborated mainly at thermodynamical equilibrium. The basic…

Soft Condensed Matter · Physics 2007-05-23 David Andelman , Roland R. Netz

We study the adsorption of homogeneous or heterogeneous polymers onto heterogeneous planar surfaces with exponentially decaying site-site correlations, using a variational reference system approach. As a main result, we derive simple…

Soft Condensed Matter · Physics 2009-11-11 Alexey Polotsky , Friederike Schmid , Andreas Degenhard

We study an ensemble of branched polymers which are embedded on other branched polymers. This is a toy model which allows us to study explicitly the reaction of a statistical system on an underlying geometrical structure, a problem of…

High Energy Physics - Theory · Physics 2015-06-26 Bergfinnur Durhuus , Thordur Jonsson

The structural properties of polymers adsorbed onto a surface have been widely investigated using self-consistent mean-field theories. Recently, analytical mean-field theories have been applied to study polymer adsorption on curved surfaces…

Soft Condensed Matter · Physics 2009-11-10 K. I. Skau , E. M. Blokhuis

We investigated the influence of short- and long-range correlated quenched disorder introduced into the medium on the process of adsorption of long-flexible polymer chains on a wall by using the field theoretical approach in $d=4-\epsilon$…

Disordered Systems and Neural Networks · Physics 2007-05-23 Z. Usatenko , A. Ciach

Coagulation-flocculation of pollutants and chelation of heavy metal ions are two widely used techniques in wastewater purification. Despite the differences between their respective mechanisms and inherent length scales, they bear much…

Soft Condensed Matter · Physics 2025-11-21 V. Blavatska , Ja. Ilnytskyi , E. Lähderanta

The process of adsorption on a planar repulsive, "marginal" and attractive wall of long-flexible polymer chains with excluded volume interactions is investigated. The performed scaling analysis is based on formal analogy between the polymer…

Soft Condensed Matter · Physics 2009-10-08 Z. Usatenko

Randomly branching polymers with {\em annealed} connectivity are model systems for ring polymers and chromosomes. In this context, the branched structure represents transient folding induced by topological constraints. Here we present…

Statistical Mechanics · Physics 2016-11-03 Angelo Rosa , Ralf Everaers

We examine the phase transition of polymer adsorption as well as the underlying kinetics of polymer binding from dilute solutions on a structureless solid surface. The emphasis is put on the properties of regular multiblock copolymers,…

Soft Condensed Matter · Physics 2009-09-03 A. Milchev , V. Rostiashvili , S. Bhattacharya , T. Vilgis

We propose that several mechanisms contribute to friction in a polymer melt adsorbed at a structured surface. The first one is the well known disentanglement of bulk polymer chains from the surface layer. However, if the surface is ideal at…

Soft Condensed Matter · Physics 2007-05-23 X. Zhou , D. Andrienko , L. Delle Site , K. Kremer

We introduce a framework for adsorption of a single polymer in which the topology of the polymer is quenched before adsorption, in contrast to more standard adsorption models having annealed topology. Our "topology" refers either to the…

Mathematical Physics · Physics 2022-11-09 Neal Madras

We study the adsorption-desorption phase transition of directed branched polymer in $d+1$ dimensions in contact with a line by mapping it to a $d$ dimensional hard core lattice gas at negative activity. We solve the model exactly in 1+1…

Statistical Mechanics · Physics 2009-11-10 Sumedha

We propose a novel characterization method of randomly branched polymers based on the geometrical property of such objects in confined spaces. The central idea is that randomly branched polymers exhibit passing/clogging transition across…

Soft Condensed Matter · Physics 2014-02-03 Takahiro Sakaue , Françoise Brochard-Wyart

Taking into account the well known correspondence between the field theoretical O(n)-vector model in the limit $n\to 0$ and the behavior of long-flexible polymer chains in a good solvent the investigation of ideal polymer chains adsorption…

Soft Condensed Matter · Physics 2012-09-25 Zoryana Usatenko

We have studied the adsorption of neutral polyampholytes on model charged surfaces that have been characterized by contact angle and streaming current measurements. The loop size distributions of adsorbed polymer chains have been obtained…

Soft Condensed Matter · Physics 2009-11-07 F. Ozon , J. -M. di Meglio , J. -F. Joanny

The behaviour of rod-coil diblock copolymers close to a surface is discussed by using extended scaling methods. The copolymers are immersed in selective solvent such that the rods are likely to aggregate to gain energy. The rods are assumed…

Soft Condensed Matter · Physics 2009-11-11 C. Nowak , T. A. Vilgis

Adsorption of polymers to surfaces is crucial for understanding many fundamental processes in nature. Recent experimental studies indicate that the adsorption dynamics is dominated by non-equilibrium effects. We investigate the adsorption…

Soft Condensed Matter · Physics 2009-05-12 Debabrata Panja , Gerard T. Barkema , Anatoly B. Kolomeisky

Polymer adsorption on fractally rough walls of varying dimensionality is studied by renormalization group methods on hierarchical lattices. Exact results are obtained for deterministic walls. The adsorption transition is found continuous…

Statistical Mechanics · Physics 2007-05-23 G. Giugliarelli , A. L. Stella

The adsorption of a single multi-block $AB$-copolymer on a solid planar substrate is investigated by means of computer simulations and scaling analysis. It is shown that the problem can be mapped onto an effective homopolymer adsorption…

Soft Condensed Matter · Physics 2008-06-27 Swati Bhattacharya , Hsiao-Ping Hsu , Andrey Milchev , Vakhtang G. Rostiashvili , Thomas A. Vilgis
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