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The monolayer adsorption process of interacting binary mixtures of species $A$ and $B$ on square lattices is studied through grand canonical Monte Carlo simulation in the framework of the lattice-gas model. Four different energies have been…

We show that equilibrium monomer and centre-of-mass concentration profiles of lattice polymers in a gravitational field, computed by Monte-Carlo simulations, provide an accurate and efficient road to the osmotic equation-of-state of polymer…

Soft Condensed Matter · Physics 2007-05-23 C. I. Addison , J. P. Hansen , A. A. Louis

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 study the conformational properties of heteropolymers containing two types of monomers A and B, modeled as self-avoiding random walks on a regular lattice. Such a model can describe in particular the sequences of hydrophobic and…

Disordered Systems and Neural Networks · Physics 2014-09-01 Viktoria Blavatska , Wolfhard Janke

Irreversible adsorption of spheres on flat collectors having dimension $d<2$ is studied. Molecules are adsorbed on Sierpinski's Triangle and Carpet like fractals ($1<d<2$), and on General Cantor Set ($d<1$). Adsorption process is modeled…

Materials Science · Physics 2012-08-02 Michal Ciesla , Jakub Barbasz

We present a lattice Monte Carlo algorithm based on the one originally proposed by Maggs and Rossetto for simulating electrostatic interactions in inhomogeneous dielectric media. The original algorithm is known to produce attractive…

Soft Condensed Matter · Physics 2017-05-12 Xiaozheng Duan , Issei Nakamura , Zhen-Gang Wang

A soft ellipsoid model for Gaussian polymer chains is studied, following an idea proposed by Murat and Kremer [J. Chem. Phys. 108, 4340 (1998)]. In this model chain molecules are mapped onto ellipsoids with certain shapes, and to each shape…

Soft Condensed Matter · Physics 2009-10-31 Frank Eurich , Philipp Maass

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 consider the model of random sequential adsorption, with depositing objects, as well as those already at the surface, decreasing in size according to a specified time dependence, from a larger initial value to a finite value in the large…

Mathematical Physics · Physics 2010-10-12 Oleksandr Gromenko , Vladimir Privman

We consider the adsorption kinetics of a regular block-copolymer of total length $N$ and block size $M$ at a selective liquid-liquid interface in the limit of strong localization. We propose a simple analytic theory based on scaling…

Soft Condensed Matter · Physics 2007-05-23 Andrea Corsi , Andrey Milchev , Vakhtang G. Rostiashvili , Thomas A. Vilgis

We develop the hybrid Monte Carlo method for simulations of single off-lattice polymer chains. We discuss implementation and choice of simulation parameters in some detail. The performance of the algorithm is tested on models for…

High Energy Physics - Lattice · Physics 2009-10-22 A. Irbäck

A kinetic Monte Carlo method was used to simulate the diffusion of reptating polymer chains across the interface. A time-resolved fluorescence technique conjunction with direct energy transfer method was used to measure the extend of…

Soft Condensed Matter · Physics 2007-05-23 Erkan Tuzel , K. Batuhan Kisacikoglu , Onder Pekcan

Random sequential adsorption of linear and square particles with excluded volume interaction is studied numerically on planar lattices considering Gaussian distributions of lateral sizes of the incident particles, with several values of the…

Statistical Mechanics · Physics 2016-10-03 Rogerio Costa Hart , Fabio David Alves Aarão Reis

We consider the adsorption of a semiflexible polymer chain onto interfaces and surfaces by using the differential equation of the distribution function $G(R,L)$ of the end-to-end distance $R$, which is associated with the moment expansion…

Soft Condensed Matter · Physics 2009-11-07 Semjon Stepanow

Coagulation-flocculation, the physicochemical process widely used for purification a wastewater, is affected both by chemical details of involved polymers and by the statistics of their conformations on a large scale. The latter aspect is…

Soft Condensed Matter · Physics 2024-07-23 V. Blavatska , Ja. Ilnytskyi , E. Lähderanta

The statistical mechanics of a linear non-interacting polymer chain with a large number of monomers is considered with fixed angular momentum. The radius of gyration for a linear polymer is derived exactly by functional integration. This…

Soft Condensed Matter · Physics 2013-05-29 Matthew Brunner , J. M. Deutsch

A microscopic model of adsorption in cluster forming systems with competing interaction is considered. The adsorption process is described by the master equation and modelled by a kinetic Monte Carlo method. The evolution of the particle…

Soft Condensed Matter · Physics 2021-09-07 E. Bildanau , V. Vikhrenko

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 discuss applications of statistical-mechanical lattice-gas models to study static and dynamic aspects of electrochemical adsorption. The strategy developed to describe specific systems includes microscopic model formulation, calculation…

Condensed Matter · Physics 2007-05-23 Per Arne Rikvold , Gregory Brown , M. A. Novotny , Andrzej Wieckowski

Single linear polymer chains in dilute solutions under good solvent conditions are studied by Monte Carlo simulations with the pruned-enriched Rosenbluth method up to the chain length $N \sim {\cal O}(10^4)$. Based on the standard simple…

Soft Condensed Matter · Physics 2015-06-24 Hsiao-Ping Hsu