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Using a lattice-based Monte Carlo code for simulating self-avoiding flexible polymers in three dimensions in the absence of explicit hydrodynamics, we study their Rouse modes. For self-avoiding polymers, the Rouse modes are not expected to…

Soft Condensed Matter · Physics 2009-10-20 Debabrata Panja , Gerard T. Barkema

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

We investigate the Rouse dynamics of a flexible ring polymer with a prime knot. Within a Monte Carlo approach, we locate the knot, follow its diffusion, and observe the fluctuations of its length. We characterise a topological time scale,…

Statistical Mechanics · Physics 2007-05-23 Enzo Orlandini , Attilio L. Stella , Carlo Vanderzande , Francesco Zonta

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

We investigate the Rubinstein-Duke model for polymer reptation by means of density-matrix renormalization group techniques both in absence and presence of a driving field. In the former case the renewal time \tau and the diffusion…

Statistical Mechanics · Physics 2009-11-07 Enrico Carlon , Andrzej Drzewinski , J. M. J. van Leeuwen

The file is a Chapter from my review volume "Polymer Physics: Phenomenology of Polymeric Fluid Simulations". The chapter treats literature tests of the Rouse model, which is widely invoked as a description of polymer motion in melts. In…

Soft Condensed Matter · Physics 2024-08-27 George D. J. Phillies

Diffusion properties of a self-avoiding polymer embedded in regularly distributed obstacles with spacing a=20 and confined in two dimensions is studied numerically using the extended bond fluctuation method which we have developed recently.…

Soft Condensed Matter · Physics 2009-10-31 Ryuzo Azuma , Hajime Takayama

The Rouse model can be regarded as the standard model to describe the dynamics of a short polymer chain under melt conditions. In this contribution, we explicitly check one of the fundamental assumptions of this model, namely that of a…

Soft Condensed Matter · Physics 2014-10-14 Diddo Diddens , Andreas Heuer

The dynamics of ring polymer melts are studied via molecular dynamics simulations of the Kremer-Grest bead-spring model. Rouse mode analysis is performed in comparison with linear polymers by changing the chain length. Rouse-like behavior…

Soft Condensed Matter · Physics 2021-09-23 Shota Goto , Kang Kim , Nobuyuki Matubayasi

We analyze the motion of individual beads of a polymer chain using a discrete version of De Gennes' reptation model that describes the motion of a polymer through an ordered lattice of obstacles. The motion within the tube can be evaluated…

Soft Condensed Matter · Physics 2016-08-15 U. Ebert , L. Schäfer , A. Baumgärtner

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

We study the dynamics of a polymer, described as a variant of a Rouse chain, driven by an active terminal monomer (head). The local active force induces a transition from a globule-like to an elongated state, as revealed by the study of the…

Statistical Mechanics · Physics 2020-01-28 Laura Natali , Lorenzo Caprini , Fabio Cecconi

We study the dynamics of the passage of a polymer through a membrane pore (translocation), focusing on the scaling properties with the number of monomers $N$. The natural coordinate for translocation is the number of monomers on one side of…

Soft Condensed Matter · Physics 2009-11-07 Jeffrey Chuang , Yacov Kantor , Mehran Kardar

In this paper, we construct an effective model for the dynamics of an excluded-volume chain under confinement, by extending the formalism of Rouse modes. We make specific predictions about the behavior of the modes for a single polymer…

Soft Condensed Matter · Physics 2009-09-29 Joshua Kalb , Bulbul Chakraborty

We analyze the Rubinstein-Duke model for polymer reptation by means of density matrix renormalization techniques. We find a crossover behavior for a series of quantities as function of the polymer length. The crossover length may become…

Statistical Mechanics · Physics 2009-10-31 Enrico Carlon , Andrzej Drzewinski , J. M. J. van Leeuwen

The transport coefficients of dense polymeric fluids are approximately calculated from the microscopic intermolecular forces. The following finite molecular weight effects are discussed within the Polymer-Mode-Coupling theory (PMC) and…

Condensed Matter · Physics 2009-10-30 Matthias Fuchs , Kenneth S. Schweizer

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

The predictions of the polymer mode coupling theory for the finite size corrections to the transport coefficients of entangled polymeric systems are tested in comparisons with various experimental data. It is found that quantitative…

Condensed Matter · Physics 2009-10-30 Matthias Fuchs , Kenneth S. Schweizer

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

A mode-coupling theory for dense polymeric systems is developed which unifyingly incorporates the segmental cage effect relevant for structural slowing down and polymer chain conformational degrees of freedom. An ideal glass transition of…

Soft Condensed Matter · Physics 2009-11-07 S. -H. Chong , M. Fuchs
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