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Related papers: Polymer chains in confined geometries: Massive fie…

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We present results of Monte Carlo study of the monomer-monomer correlation functions, static structure factor and asphericity characteristics of a single homopolymer in the coil and globular states for three distinct architectures of the…

Soft Condensed Matter · Physics 2009-11-07 Edward G. Timoshenko , Yuri A. Kuznetsov , Ronan Connolly

We present a Monte Carlo algorithm that provides efficient and unbiased sampling of polymer melts consisting of two chains of equal length that jointly visit all the sites of a cubic lattice with rod geometry L x L x rL and non-periodic…

Statistical Mechanics · Physics 2010-11-03 Jesper Lykke Jacobsen

Single two dimensional polymers confined to a strip are studied by Monte Carlo simulations. They are described by N-step self-avoiding random walks on a square lattice between two parallel hard walls with distance 1 << D << N^\nu (\nu = 3/4…

Soft Condensed Matter · Physics 2007-05-23 Hsiao-Ping Hsu , Peter Grassberger

A phase diagram for a surface-interacting long flexible polymer chain in a two-dimensional poor solvent where the possibility of collapse exists is determined using exact enumeration method. A model of a self-attracting self avoiding walk…

Statistical Mechanics · Physics 2007-05-23 Yashwant Singh , Debaprasad Giri , Sanjay Kumar

Using molecular dynamics simulation of a standard bead-spring model we investigate the density crossover scaling of strictly two-dimensional self-avoiding polymer chains focusing on properties related to the contact exponent set by the…

Soft Condensed Matter · Physics 2015-06-03 N. Schulmann , H. Meyer , J. P. Wittmer , A. Johner , J. Baschnagel

The conformational properties of a semi-flexible polymer chain, anchored at one end in a uniform force field, are studied in a simple two-dimensional model. Recursion relations are derived for the partition function and then iterated…

Soft Condensed Matter · Physics 2009-11-07 A. Lamura , T. W. Burkhardt , G. Gompper

We present a novel and rigorous approach to the Langevin dynamics of ideal polymer chains subject to internal distance constraints. The permanent constraints are modelled by harmonic potentials in the limit when the strength of the…

Soft Condensed Matter · Physics 2009-10-28 M. P. Solf , T. A. Vilgis

Semiflexible macromolecules in dilute solution under very good solvent conditions are modeled by self-avoiding walks on the simple cubic lattice ($d=3$ dimensions) and square lattice ($d=2$ dimensions), varying chain stiffness by an energy…

Soft Condensed Matter · Physics 2015-05-30 Hsiao-Ping Hsu , Kurt Binder

Polymer chains in colloid-polymer mixtures can be coarse-grained by replacing them with single soft particles interacting via effective polymer-polymer and polymer-colloid pair potentials. Here we describe in detail how Ornstein-Zernike…

Soft Condensed Matter · Physics 2007-05-23 P. G. Bolhuis , A. A. Louis

We report a numerical study of equilibrium phase-diagrams and interfacial properties of bulk and confined colloid-polymer mixtures using grand canonical Monte Carlo simulations. Colloidal particles are treated as hard spheres, while the…

Soft Condensed Matter · Physics 2009-11-13 Andrea Fortini , Peter G. Bolhuis , Marjolein Dijkstra

We perform simulations for long hard-sphere polymer chains using a recently developed binary-tree based Monte Carlo method. Systems in two to five dimensions with free and periodic boundary conditions and up to $10^7$ repeat units are…

Soft Condensed Matter · Physics 2023-12-01 Stefan Schnabel , Wolfhard Janke

We revisit the classical problem of the behavior of an isolated linear polymer chain in confined spaces, introducing the distinction between two different confinement regimes (the {\it weak} and the {\it strong} confinement regimes,…

Soft Condensed Matter · Physics 2009-11-11 Takahiro Sakaue , Elie Raphael

The depletion force and depletion potential between two in principle unequal "big" hard spheres embedded in a multicomponent mixture of "small" hard spheres are computed using the Rational Function Approximation method for the structural…

Soft Condensed Matter · Physics 2015-06-29 Santos Bravo Yuste , Andrés Santos , Mariano López de Haro

We make use of the previously developed formalism for a monomer ensemble and include angular dependence of the segments of the polymer chains thus described. In particular we show how to deal with stiffness when the polymer chain is…

Soft Condensed Matter · Physics 2015-06-24 K. K. Muller-Nedebock , H. L. Frisch , J. K. Percus

The wormlike chain model of stiff polymers is a nonlinear $\sigma$-model in one spacetime dimension in which the ends are fluctuating freely. This causes important differences with respect to the presently available theory which exists only…

Soft Condensed Matter · Physics 2009-11-11 H. Kleinert , A. Chervyakov

We study a model of a semiflexible long chain polymer confined to a two-dimensional slit of width $w$, and interacting with the walls of the slit. The interactions with the walls are controlled by Boltzmann weights $a$ and $b$, and the…

Statistical Mechanics · Physics 2019-12-03 Nicholas R. Beaton , Leo Li , Jonathon Liu , Thomas Wong

We obtain the entropy of flexible linear chains composed of M monomers placed on the square lattice using a transfer matrix approach. An excluded volume interaction is included by considering the chains to be self-and mutually avoiding, and…

Statistical Mechanics · Physics 2009-11-07 W. G. Dantas , J. F. Stilck

A variational approach is considered to calculate the free energy and the conformational properties of a polyelectrolyte chain in $d$ dimensions. We consider in detail the case of pure Coulombic interactions between the monomers, when…

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

We propose a two-body spherically symmetric (isotropic) potential such that particles interacting by the potential self assemble into linear semiflexible polymeric chains without branching. By suitable control of the potential parameters we…

Soft Condensed Matter · Physics 2018-05-09 Alex Abraham , Apratim Chatterji

Confined in two dimensional planes, polymer chains comprising dense monolayer solution are segregated from each other due to topological interaction. Although the segregation is inherent in two dimensions (2D), the solution may display…

Soft Condensed Matter · Physics 2022-09-26 Lei Liu , Changbong Hyeon
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