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A simple one-dimensional model is constructed for polymer motion. It exhibits the crossover from reptation to Rouse dynamics through gradually allowing hernia creation and annihilation. The model is treated by the density matrix technique…

Statistical Mechanics · Physics 2009-11-11 Andrzej Drzewinski , J. M. J. van Leeuwen

We present Brownian dynamics simulation results of a flexible linear polymer with excluded-volume interactions under shear flow in the presence of active noise. The active noise strongly affects the polymer's conformational and dynamical…

Soft Condensed Matter · Physics 2023-11-21 Arindam Panda , Roland G. Winkler , Sunil P. Singh

We present large-scale molecular dynamics simulations for a coarse-grained model of polymer melts in equilibrium. From detailed Rouse mode analysis we show that the time-dependent relaxation of the autocorrelation function (ACF) of modes…

Soft Condensed Matter · Physics 2017-04-26 Hsiao-Ping Hsu , Kurt Kremer

Linear polymers are represented as chains of hopping reptons and their motion is described as a stochastic process on a lattice. This admittedly crude approximation still catches essential physics of polymer motion, i.e. the universal…

Statistical Mechanics · Physics 2015-05-18 J. M. J. van Leeuwen , Andrzej Drzewinski

We present a model for semiflexible polymers in Hamiltonian formulation which interpolates between a Rouse chain and worm-like chain. Both models are realized as limits for the parameters. The model parameters can also be chosen to match…

Soft Condensed Matter · Physics 2015-06-12 Gerard T. Barkema , J. M. J. van Leeuwen

Motivated by the recent experimental observations of the DNA loop extrusion by protein motors, in this paper we investigate the statistical properties of the growing polymer loops within the ideal chain model. The loop conformation is…

Statistical Mechanics · Physics 2021-04-30 Dmitry Starkov , Vladimir Parfenyev , Sergey Belan

A multi-resolution bead-spring model for polymer dynamics is developed as a generalization of the Rouse model. A polymer chain is described using beads of variable sizes connected by springs with variable spring constants. A numerical…

Biological Physics · Physics 2016-07-28 Edward Rolls , Yuichi Togashi , Radek Erban

The aim of this paper is to compare results from lattice-Boltzmann and Brownian dynamics simulations of linear chain molecules. We have systematically varied the parameters that may affect the accuracy of the lattice-Boltzmann simulations,…

Computational Physics · Physics 2015-05-13 Anthony J. C. Ladd , Rahul Kekre , Jason E. Butler

The Rouse model with harmonic springs and the Langevin equation (Langevin-Rouse model) is widely used to describe the linear viscoelasticity of unentangled polymer melts. A similar model, in which the Langevin equation is replaced by…

Soft Condensed Matter · Physics 2024-03-19 Takashi Uneyama

We study the conformation and dynamics of a single polymer chain that is pulled by a constant force applied at its one end with the other end free. Such a situation is relevant to the growing technology of manipulating individual…

Soft Condensed Matter · Physics 2015-06-04 Takahiro Sakaue , Takuya Saito , Hirofumi Wada

We theoretically investigate the looping dynamics of a linear polymer immersed in a viscoelastic fluid. The dynamics of the chain is governed by a Rouse model with a fractional memory kernel recently proposed by Weber et al. (S. C. Weber,…

Soft Condensed Matter · Physics 2012-07-09 Rajarshi Chakrabarti

Bead spring models for polymers in solution are nonlinear if either the finite extensibility of the polymer, excluded volume effects or hydrodynamic interactions between polymer segments are taken into account. For such models we use a…

Soft Condensed Matter · Physics 2009-11-07 Roland Rzehak , Walter Zimmermann

In this paper we establish a new efficient method for simulating polymer-solvent systems which combines a lattice Boltzmann approach for the fluid with a continuum molecular dynamics (MD) model for the polymer chain. The two parts are…

Soft Condensed Matter · Physics 2009-10-31 Patrick Ahlrichs , Burkhard Duenweg

We address the general question of how the molecular weight dependence of chain dynamics in unentangled polymers is modified by blending. By dielectric spectroscopy we measure the normal mode relaxation of polyisoprene in blends with a slow…

Soft Condensed Matter · Physics 2012-02-24 Silvia Arrese-Igor , Angel Alegria , Angel J. Moreno , Juan Colmenero

We study the dynamics of the phase behavior of a polymer blend in the presence of shear flow. By adopting a two fluid picture and using a generalization of the concept of material derivative, we construct kinetic equations that describe the…

Soft Condensed Matter · Physics 2009-10-30 Tao Sun , Anna C. Balazs , David Jasnow

We explore the effect of Couette flow on knotted linear polymer chains with extensive Molecular Dynamics (MD) simulations. Hydrodynamic interactions are accounted for by means of Multi-Particle Collision Dynamics (MPCD). The polymer chain,…

Soft Condensed Matter · Physics 2024-12-10 Andrey Milchev , Maurice P. Schmitt , Peter Virnau

A key assumption of polymer physics is that the random chains polymers extend in flow. Recent experimental evidence has shown that polymer chains compress in Couette flow in a manner counter to expectation. Here, scaling arguments developed…

Soft Condensed Matter · Physics 2018-06-05 Dave E. Dunstan

We study the static and dynamical properties of a harmonically confined Rouse polymer coupled to a fluctuating correlated medium, which affect each other reciprocally during their stochastic evolution. The medium is modeled by a scalar…

Soft Condensed Matter · Physics 2025-10-09 Pietro Luigi Muzzeddu , Davide Venturelli , Andrea Gambassi

Using molecular simulations, we study the properties of a polymer brush in contact with an explicit solvent under Couette and Poiseuille flow. The solvent is comprised of chemically identical chains. We present evidence that individual,…

Soft Condensed Matter · Physics 2009-11-13 M. Müller , C. Pastorino

We present a semi-analytical approach to the determination of the dynamic properties of randomly branched polymers under the Rouse approximation. The principle procedure is based on examining a spectrum of eigenvalues which represents the…

Statistical Mechanics · Physics 2009-10-31 Josh P. Kemp , Zheng Yu Chen