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Related papers: Polymers Confined between Two Parallel Plane Walls

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We have studied the compact phase conformations of semi-flexible polymer chains confined in two dimensional nonhomogeneous media, modelled by fractals that belong to the family of modified rectangular (MR) lattices. Members of the MR family…

Statistical Mechanics · Physics 2019-05-22 D Marčetić , S Elezović-Hadžić , N Adžić , I Živić

Langevin dynamics simulations are performed to investigate ejection dynamics of spherically confined flexible polymers through a pore. By varying the chain length $N$ and the initial volume fraction $\phi_0$ of the monomers, two scaling…

Soft Condensed Matter · Physics 2020-01-29 Hao-Chun Huang , Pai-Yi Hsiao

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

Lattice model of directed self avoiding walk has been solved analytically to investigate adsorption desorption phase transition behaviour of a semiflexible sequential copolymer chain on a two dimensional impenetrable surface perpendicular…

Statistical Mechanics · Physics 2010-02-23 Pramod Kumar Mishra

Two closely related models of oriented self-avoiding walks (OSAWs) on a square lattice are studied. We use the pruned-enriched Rosenbluth method to determine numerically the phase diagram. Both models have three phases: a tight-spiral phase…

Condensed Matter · Physics 2007-05-23 G. T. Barkema , U. Bastolla , P. Grassberger

We report the results of Monte Carlo simulations investigating the effect of a spherical confinement within a simple model for a flexible homopolymer. We use the parallel tempering method combined with multi-histogram reweighting analysis…

Soft Condensed Matter · Physics 2012-12-27 M. Marenz , J. Zierenberg , H. Arkin , W. Janke

Motivated by renewed interest in the physics of branched polymers, we present here a complete characterization of the connectivity and spatial properties of $2$ and $3$-dimensional single-chain conformations of randomly branching polymers…

Soft Condensed Matter · Physics 2020-03-23 Irene Adroher-Benítez , Angelo Rosa

We investigate the phase diagram of a self-avoiding walk model of a 3-star polymer in two dimensions, adsorbing at a surface and being desorbed by the action of a force. We show rigorously that there are four phases: a free phase, a…

Statistical Mechanics · Physics 2019-05-14 C J Bradly , E J Janse van Rensburg , A L Owczarek , S G Whittington

We investigate the problem of polymer translocation through a nanopore in the absence of an external driving force. To this end, we use the two-dimensional (2D) fluctuating bond model with single-segment Monte Carlo moves. To overcome the…

Computational Physics · Physics 2012-12-06 Kaifu Luo , Tapio Ala-Nissila , See-chen Ying

We study the behavior of self avoiding polymers in a background of vertically aligned rods that are either frozen into random positions or free to move horizontally. We find that in both cases the polymer chains are highly elongated, with…

Soft Condensed Matter · Physics 2009-11-10 J. M. Deutsch , M. Warkentin

We use an off - lattice bead - spring model of a self - avoiding polymer chain immersed in a 3-dimensional quenched random medium to study chain dynamics by means of a Monte - Carlo (MC) simulation. The chain center of mass mean-squared…

Soft Condensed Matter · Physics 2007-05-23 A. Milchev , V. G. Rostiashvili , T. A. Vilgis

Phase separation of colloid-polymer mixtures, described by the Asakura-Oosawa (AO) model, confined in a thin slit pore is studied by grand-canonical Monte Carlo simulation. While one wall is a hard wall for both particles, at the other wall…

Soft Condensed Matter · Physics 2007-05-23 A. De Virgiliis , R. L. C. Vink , J. Horbach , K. Binder

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

Monte Carlo computer simulations are used to study the conformational free energy of a folded polymer confined to a long cylindrical tube. The polymer is modeled as a hard-sphere chain. Its conformational free energy $F$ is measured as a…

Soft Condensed Matter · Physics 2018-02-07 James M. Polson , Aidan F. Tremblett , Zakary R. N. McLure

We study structural phase transition of polymer-grafted colloidal particles by Monte Carlo simulations on hard spherical particles. The interaction potential, which has a weak repulsive step outside the hard core, was validated with use of…

Soft Condensed Matter · Physics 2007-05-23 Yuki Norizoe , Toshihiro Kawakatsu

We performed a series of simulations for a linear polymer chain in a solvent using dissipative particle dynamics to check the scaling relations for the end-to-end distance, radius of gyration and hydrodynamic radius in three dimensions. The…

Soft Condensed Matter · Physics 2009-04-03 J. M. Ilnytskyi , Yu. Holovatch

We conjecture a relationship between the scaling limit of the fixed-length ensemble of self-avoiding walks in the upper half plane and radial SLE with kappa=8/3 in this half plane from 0 to i. The relationship is that if we take a curve…

Probability · Mathematics 2015-05-27 Tom Kennedy

The structural phase behavior of polymer brushes, single-component linear homopolymers grafted onto a planar substrate, is studied using the molecular Monte Carlo method in 3 dimensions. When simulation parameters of the system are set in…

Soft Condensed Matter · Physics 2013-01-18 Y. Norizoe , H. Jinnai , A. Takahara

In this paper we study the shape characteristics of a polymer chain in a good solvent using a mesoscopic level of modelling. The dissipative particle dynamics simulations are performed in the $3D$ space at a range of chain lengths $N$. The…

Soft Condensed Matter · Physics 2016-11-24 Ostap Kalyuzhnyi , Jaroslav Ilnytskyi , Yurij Holovatch , Christian von Ferber

Monte Carlo simulations are used to study the translocation of a polymer into a cavity. Modeling the polymer as a hard-sphere chain with a length up to N=601 monomers, we use a multiple-histogram method to measure the variation of the…

Soft Condensed Matter · Physics 2021-03-25 James M. Polson , David R. Heckbert