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The depletion interaction between two parallel repulsive walls confining a dilute solution of long and flexible polymer chains is studied by field-theoretic methods. Special attention is paid to self-avoidance between chain monomers…

Soft Condensed Matter · Physics 2009-11-07 F. Schlesener , A. Hanke , R. Klimpel , S. Dietrich

The paper presents a short overview of the theoretical, numerical and experimental works on the critical behavior of a dilute polymer solution of long-flexible polymer chains confined in semi-infinite space restricted by a surface or in a…

Soft Condensed Matter · Physics 2018-01-08 Zoryana Usatenko , Krzysztof S. Danel

The investigation of a dilute solution of phantom ideal ring polymers and ring polymers with excluded volume interactions (EVI) in a good solvent confined in a slit geometry of two parallel repulsive walls and in a solution of colloidal…

Biological Physics · Physics 2017-04-26 Z. Usatenko , J. Halun , P. Kuterba

The universal density-force relation is analyzed and the correspondent universal amplitude ratio $B_{real}$ is obtained using the massive field theory approach in fixed space dimensions d=3 up to one-loop order. The layer monomer density…

Soft Condensed Matter · Physics 2015-05-20 Z. Usatenko

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

The behavior of mesoscopic particles dissolved in a dilute solution of long, flexible, and nonadsorbing polymer chains is studied by field-theoretic methods. For spherical and cylindrical particles the solvation free energy for immersing a…

Soft Condensed Matter · Physics 2009-10-31 A. Hanke , E. Eisenriegler , S. Dietrich

Solutions of semiflexible polymers confined by repulsive planar walls are studied by density functional theory and Molecular Dynamics simulations, to clarify the competition between the chain alignment favored by the wall and the depletion…

Soft Condensed Matter · Physics 2016-05-25 Sergei A. Egorov , Andrey Milchev , Peter Virnau , Kurt Binder

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 present the exact solutions of various directed walk models of polymers confined to a slit and interacting with the walls of the slit via an attractive potential. We consider three geometric constraints on the ends of the polymer and…

Statistical Mechanics · Physics 2009-11-11 R Brak , A L Owczarek , A Rechnitzer , S G Whittington

We consider a fully directed self-avoiding walk model on a cubic lattice to mimic the conformations of an infinitely long confined flexible polymer chain; and the confinement condition is achieved by two parallel athermal plates. The…

Soft Condensed Matter · Physics 2021-06-21 P K Mishra

Polymer chains undergoing a continuous adsorption-desorption transition are studied through extensive computer simulations. A three-dimensional self-avoiding walk lattice model of a polymer chain grafted onto a surface has been treated for…

Statistical Mechanics · Physics 2018-05-30 P. H. L. Martins , J. A. Plascak , M. Bachmann

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

We analyse the conformational behaviour of a linear semiflexible homo-polymer chain confined by two geometrical constraints under a good solvent condition in two dimensions. The constraints are stair shaped impenetrable surfaces. The…

Soft Condensed Matter · Physics 2014-07-14 Pramod Kumar Mishra

The process of adsorption on a planar wall of long-flexible polymer chains in the medium with quenched long-range correlated disorder is investigated. We focus on the case of correlations between defects or impurities that decay according…

Soft Condensed Matter · Physics 2009-11-10 Z. Usatenko , A. Ciach

We deduce the qualitative phase diagram of a long flexible neutral polymer chain immersed in a poor solvent near an attracting surface using phenomenological arguments. The actual positions of the phase boundaries are estimated numerically…

Statistical Mechanics · Physics 2009-11-07 R. Rajesh , Deepak Dhar , Debaprasad Giri , Sanjay Kumar , Yashwant Singh

We present Monte Carlo simulations of semidilute solutions of long self-attracting chain polymers near their Ising type critical point. The polymers are modeled as monodisperse self-avoiding walks on the simple cubic lattice with attraction…

Soft Condensed Matter · Physics 2009-10-30 H. Frauenkron , P. Grassberger , HLRZ Juelich , Germany

Dilute or semi-dilute solutions of non-intersecting self-avoiding walk (SAW) polymer chains are mapped onto a fluid of ``soft'' particles interacting via an effective pair potential between their centers of mass. This mapping is achieved by…

Soft Condensed Matter · Physics 2009-10-31 P. G. Bolhuis , A. A. Louis , J. P. Hansen , E. J. Meijer

An effective low energy field theory is developed for a system of two chains. The main novelty of the approach is that it allows to treat generic intrachain repulsive interactions of arbitrary strength. The chains are coupled by a direct…

Strongly Correlated Electrons · Physics 2015-05-18 A. M. Tsvelik

The molecular dynamics simulations were used to obtain the radius of gyration of real ring polymer chains with different topological structures consisting of 360 monomers. We focus on the entropic force which is exerted by a dilute solution…

Soft Condensed Matter · Physics 2024-01-18 P. Kuterba , Z. Danel , W. Janke

We study the behavior of a flexible polymer chain in the presence of a low-molecular weight solvent in the vicinity of a liquid-gas critical point within the framework of a self-consistent field theory. The total free energy of the dilute…

Statistical Mechanics · Physics 2015-07-29 Yu. A. Budkov , A. L. Kolesnikov , N. Georgi , M. G. Kiselev
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