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We show that the problem of describing the conformations of a semiflexible polymer confined to a channel can be mapped onto an exactly solvable model in the so-called extended de Gennes regime. This regime (where the polymer is neither…

Soft Condensed Matter · Physics 2014-12-23 E. Werner , B. Mehlig

We propose a simple friction model for isolated polymer chains on a solid substrate. The chains are pulled at constant velocity by one end, the other end can be trapped on the solid substrate on localised sites. We focus on the energy…

Soft Condensed Matter · Physics 2009-10-31 T. Charitat , J. F. Joanny

We study by Monte Carlo simulations and scaling analysis two models of pairs of confined and dense ring polymers in two dimensions. The pair of ring polymers are modelled by squared lattice polygons confined within a square cavity and they…

Soft Condensed Matter · Physics 2022-01-05 EJ Janse van Rensburg , E Orlandini

Using a transfer matrix technique, we calculate the entropy of polydisperse chains placed on a one-dimensional lattice, as a function of the density of internal and endpoint monomers. The polydispersivity is determined considering different…

Statistical Mechanics · Physics 2009-11-11 Jurgen F. Stilck , Minos A. Neta , Wellington G. Dantas

The rate of escape of polymers from a two-dimensionally confining potential well has been evaluated using self-avoiding as well as ideal chain representations of varying length, up to 80 beads. Long timescale Langevin trajectories were…

Soft Condensed Matter · Physics 2015-03-27 Harri Mökkönen , Timo Ikonen , Tapio Ala-Nissila , Hannes Jónsson

We study the interplay between entropy and topological constraints for a polymer chain in which sliding rings (slip-links) enforce pair contacts between monomers. These slip-links divide a closed ring polymer into a number of sub-loops…

Statistical Mechanics · Physics 2009-11-07 Ralf Metzler , Andreas Hanke , Paul G. Dommersnes , Yacov Kantor , Mehran Kardar

We study the static properties of a semiflexible polymer exposed to a quenched random environment by means of computer simulations. The polymer is modeled as two-dimensional Heisenberg chain. For the random environment we consider hard…

Soft Condensed Matter · Physics 2012-11-20 Sebastian Schoebl , Johannes Zierenberg , Wolfhard Janke

Several methods for preparing well equilibrated melts of long chains polymers are studied. We show that the standard method in which one starts with an ensemble of chains with the correct end-to-end distance arranged randomly in the…

Soft Condensed Matter · Physics 2009-11-10 Rolf Auhl , Ralf Everaers , Gary S. Grest , Kurt Kremer , Steven J. Plimpton

Using molecular dynamics simulation, we investigate the effect of confinement on a system that comprises several stiff segmented polymer chains where each chain has similar segments, but length and stiffness of the segments vary among the…

Soft Condensed Matter · Physics 2015-07-14 Arash Azari , Kristian K. Müller-Nedebock

The tube model is a central concept in polymer physics, and allows to reduce the complex many-filament problem of an entangled polymer solution to a single filament description. We investigate the probability distribution function of…

Soft Condensed Matter · Physics 2009-08-12 Hauke Hinsch , Erwin Frey

A polymer-chain network is a collection of interconnected polymer-chains, made themselves of the repetition of a single pattern called a monomer. Our first main result establishes that, for a class of models for polymer-chain networks, the…

Mathematical Physics · Physics 2020-04-08 Marco Cicalese , Antoine Gloria , Matthias Ruf

We study the conformations of polymer chains in a poor solvent, with and without bending rigidity, by means of a simple statistical mechanics model. This model can be exactly solved for chains of length up to N=55 using exact enumeration…

Statistical Mechanics · Physics 2007-11-26 Anthony J. Guttmann , Jesper L. Jacobsen , Iwan Jensen , Sanjay Kumar

We consider equilibrium relaxation properties of the end-to-end distance and of principal components in a one-dimensional polymer chain model with nonlinear interaction between the beads. While for the single-well potentials these…

Soft Condensed Matter · Physics 2015-05-13 S. Fugmann , I. M. Sokolov

Single three dimensional polymers confined to a slab, i.e. to the region between two parallel plane walls, are studied by Monte Carlo simulations. They are described by $N$-step walks on a simple cubic lattice confined to the region $1 \le…

Soft Condensed Matter · Physics 2009-11-10 Hsiao-Ping Hsu , Peter Grassberger

We present a computationally efficient multiscale method for preparing equilibrated, isotropic long chain model polymer melts. As an application we generate Kremer-Grest melts of $1000$ chains with $200$ entanglements and $25000$-$2000$…

Soft Condensed Matter · Physics 2023-02-15 Carsten Svaneborg , Ralf Everaers

Recent advances in single macromolecule experiments have sparked interest in the ensemble dependence of force-extension relations. The thermodynamic limit may not be attainable for such systems, that leads to inequivalence of the…

Soft Condensed Matter · Physics 2018-07-30 Sandipan Dutta , Panayotis Benetatos

The dynamics of loop formation by linear polymer chains has been a topic of several theoretical/experimental studies. Formation of loops and their opening are key processes in many important biological processes. Loop formation in flexible…

Soft Condensed Matter · Physics 2015-05-14 K. P. Santo , K. L. Sebastian

We analyze a (1+1)-dimension directed random walk model of a polymer dipped in a medium constituted by two immiscible solvents separated by a flat interface. The polymer chain is heterogeneous in the sense that a single monomer may…

Probability · Mathematics 2007-05-23 Erwin Bolthausen , Giambattista Giacomin

Herein, we describe new methods to produce colloidal particle chains of three stiffness regimes that can be observed on a single-particle level, that is, on the level of the monomers that make up the chain; the chains can even be observed…

Polymer entanglements lead to complicated topological constraints and interactions between neighbouring chains in a dense solution or melt. Entanglements can be treated in a mean field approach, within the famous reptation model, since they…

Soft Condensed Matter · Physics 2007-05-23 S. Kutter , E. M. Terentjev
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