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Related papers: Polymer Adsorption on Fractal Walls

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Polymers in confined spaces lose conformational entropy. This induces a net repulsive entropic force on the walls of the confining space. A model for this phenomenon is a lattice walk between confining walls, and in this paper a model of an…

Statistical Mechanics · Physics 2016-05-04 E. J. Janse van Rensburg , T. Prellberg

Forced detachment of a single polymer chain, strongly-adsorbed on a solid substrate, is investigated by two complementary methods: a coarse-grained analytical dynamical model, based on the Onsager stochastic equation, and Molecular Dynamics…

Soft Condensed Matter · Physics 2014-03-27 J. Paturej , J. L. A. Dubbeldam , V. G. Rostiashvili , A. Milchev , T. A. Vilgis

From biological tissues to layers of paint, macroscopic non-porous materials with the capacity to swell when brought in contact with an appropriate solvent are ubiquitous. Here, we study experimentally and theoretically one of the…

Soft Condensed Matter · Physics 2022-04-18 Merlin A. Etzold , George T. Fortune , Julien R. Landel , Stuart B. Dalziel

Cohesive particles form agglomerates that are usually very porous. Their geometry, particularly their fractal dimension, depends on the agglomeration process (diffusion-limited or ballistic growth by adding single particles or…

Soft Condensed Matter · Physics 2023-12-07 Dietrich E. Wolf , Thorsten Pöschel

We study the adsorption of a fluid in the grand canonical ensemble occurring at a planar heterogeneous wall which is decorated with a chemical stripe of width $L$. We suppose that the material of the stripe strongly preferentially adsorbs…

Statistical Mechanics · Physics 2017-08-30 Alexandr Malijevský , Andrew O. Parry , Martin Pospíšil

Hydrophobically modified polymers are good candidates for the stabilization of liquid interfaces thanks to the high anchoring energy of the hydrophobic parts. In this article we probe the interfacial anchoring of a series of home-made…

Applied Physics · Physics 2019-03-04 C. Trégouët , Thomas Salez , N. Pantoustier , P. Perrin , M. Reyssat , C. Monteux

We consider a discrete random walk (RW) in n dimensions . The RW is adapted with a geometric absorption process: at any discrete time there is a constant probability that absorption occurs in the current state. To model the RW with…

Probability · Mathematics 2013-09-05 Theo van Uem

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

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…

Statistical Mechanics · Physics 2009-11-10 J. Krawczyk , A. L. Owczarek , T. Prellberg , A. Rechnitzer

We re-examine a population model which exhibits a continuous absorbing phase transition which belongs to directed percolation in 1+1 dimensions and a first order transition in 2+1 dimensions and above. Studying the model on fractal…

Statistical Mechanics · Physics 2015-05-13 Alastair L Windus , Henrik Jeldtoft Jensen

In a previous article [E.M. Blokhuis, K.I. Skau, and J.B. Avalos, J. Chem. Phys. 119, 3483 (2003)], a self-consistent field formalism was derived for weakly adsorbing polymers, valid for any chain length. It was shown that the presence of a…

Soft Condensed Matter · Physics 2007-05-23 Karl Isak Skau , Edgar M. Blokhuis , Jan van Male

In thermal equilibrium, a colloidal particle between two parallel plates immersed in a fluid which partially wets both the particle and the plates, is attracted by the walls. However, if the particle moves parallel to the plates, a…

Soft Condensed Matter · Physics 2007-05-23 Alvaro Dominguez , Siegfried Dietrich

The distribution of monomers along a linear polymer grafted on a hard wall is modelled by determining the probability distribution of occupied vertices of Dyck and ballot path models of adsorbing linear polymers. For example, the…

Soft Condensed Matter · Physics 2023-03-08 EJ Janse van Rensburg

The distribution of monomers in a coating of grafted and adsorbing polymers is modelled using a grafted staircase polygon in the square lattice. The adsorbing staircase polygon consists of a bottom and a top lattice path (branches) and the…

Soft Condensed Matter · Physics 2023-04-27 EJ Janse van Rensburg

The thermally assisted detachment of a self-avoiding polymer chain from an adhesive surface by an external force applied to one of the chain ends is investigated. We perform our study in the "fixed height" statistical ensemble where one…

Soft Condensed Matter · Physics 2009-08-13 S. Bhattacharya , A. Milchev , V. G. Rostiashvili , T. A. Vilgis

The adsorption of a bottle-brush polymer end-grafted with one chain end of its backbone to a flat substrate surface is studied by Monte Carlo simulation of a coarse-grained model, that previously has been characterized in the bulk, assuming…

Soft Condensed Matter · Physics 2010-10-13 Hsiao-Ping Hsu , Wolfgang Paul , Kurt Binder

Multiple resolution analysis of two dimensional structures composed of randomly adsorbed penetrable rods, for densities below the percolation threshold, has been carried out using box-counting functions. It is found that at relevant…

Condensed Matter · Physics 2016-08-31 Daniel A. Lidar , Ofer Biham , David Avnir

We analyze the Helmholtz equation in a complex domain. A sound absorbing structure at a part of the boundary is modelled by a periodic geometry with periodicity $\varepsilon>0$. A resonator volume of thickness $\varepsilon$ is connected…

Analysis of PDEs · Mathematics 2020-06-05 Patrizia Donato , Agnes Lamacz , Ben Schweizer

The mathematical model of surfactant adsorption under mixed barrier-diffusion control is analyzed using techniques from fractional calculus. The kinetic models of Henry, Langmuir, Frumkin, Volmer and van der Waals are considered. First,…

Analysis of PDEs · Mathematics 2025-12-11 Ivan Bazhlekov , Emilia Bazhlekova

Low-energy structures of a hybrid system consisting of a polymer and an attractive nanowire substrate as well as the thermodynamics of the adsorption transition are studied by means of Monte Carlo computer simulations. Depending on…

Soft Condensed Matter · Physics 2011-07-05 Thomas Vogel , Michael Bachmann
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