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Recently it has been shown that a two-dimensional model of self-attracting polymers based on attracting segments displays two phase transitions, a theta-like collapse between swollen polymers and a globular state and another between the…

Soft Condensed Matter · Physics 2008-07-10 J. Krawczyk , A. L. Owczarek , T. Prellberg

We present data of Monte Carlo simulations for monodisperse linear polymer chains in dense melts with degrees of polymerization between N=16 and N=512. The aim of this study is to investigate the crossover from Rouse-like dynamics for short…

Soft Condensed Matter · Physics 2009-10-31 T. Kreer , J. Baschnagel , M. Mueller , K. Binder

We consider an inextensible, semiflexible polymer or worm-like chain which is confined in the transverse direction by a parabolic potential and subject to a longitudinal force at the ends, so that the polymer is stretched out and…

Soft Condensed Matter · Physics 2015-05-28 Theodore W. Burkhardt

The Monte Carlo carbyne model is modified to investigate the glass transition of the semi-flexible entangled polymer chains. The stochastic bombardment between monomers are monitored by Metropolis algorithm with help of the consideration of…

Computational Physics · Physics 2018-10-17 C. H. Wong , L. Xue , E. A. Buntov , A. F. Zatsepin

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 scaling theory and Monte Carlo (MC) simulation results for a flexible polymer chain slowly dragged by one end into a nanotube. We also describe the situation when the completely confined chain is released and gradually leaves…

Soft Condensed Matter · Physics 2009-11-13 Leonid I. Klushin , Alexander M. Skvortsov , Hsiao-Ping Hsu , Kurt Binder

We study the conformations of a semiflexible chain, confined in nano-scaled spherical cavities, under two distinct processes of confinement. Radial contraction and packaging are employed as two confining procedures. The former method is…

Soft Condensed Matter · Physics 2014-09-29 Arman Fathizadeh , Maziar Heidari , Behrouz Eslami-Mossallam , Mohammad Reza Ejtehadi

While the dynamics of polymer chains in equilibrium media is well understood by now, the polymer dynamics in active non-equilibrium environments can be very different. Here we study the dynamics of polymers in a viscous medium containing…

Soft Condensed Matter · Physics 2017-06-23 Jaeoh Shin , Andrey G. Cherstvy , Won Kyu Kim , Vasily Zaburdaev

Large scale Monte Carlo simulations of dense layers of grafted polymer chains in good solvent conditions are used to explore the relaxation of a polymer brush. Monomer displacements are analyzed for the directions parallel and perpendicular…

Soft Condensed Matter · Physics 2021-04-13 Michael Lang , Marco Werner , Ron Dockhorn , Torsten Kreer

Equilibration of polymer melts containing highly entangled long polymer chains in confinement or with free surfaces is a challenge for computer simulations. We approach this problem by first studying polymer melts based on the soft-sphere…

Soft Condensed Matter · Physics 2020-10-14 Hsiao-Ping Hsu , Kurt Kremer

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 perform large scale three-dimensional molecular dynamics simulations of unlinked and unknotted ring polymers diffusing through a background gel, here a three-dimensional cubic lattice. Taking advantage of this architecture, we propose a…

Soft Condensed Matter · Physics 2014-07-01 D. Michieletto , D. Marenduzzo , E. Orlandini , G. P. Alexander , M. S. Turner

We present a mean-field dynamical theory for single semiflexible polymers which can precisely capture, without fitting parameters, recent fluorescence correlation spectroscopy results on single monomer kinetics of DNA strands in solution.…

Soft Condensed Matter · Physics 2009-10-19 Michael Hinczewski , Roland R. Netz

Polydispersity is inevitable in industrially produced polymers. Established theories of polymer dynamics and rheology, however, were mostly built on monodisperse linear polymers. Dynamics of polydisperse polymers is yet to be fully explored…

Soft Condensed Matter · Physics 2021-06-29 Oluseye Adeyemi , Shiping Zhu , Li Xi

We investigate the motion of two overlapping polymers with self-avoidance confined in a narrow 2d box. A statistical model is constructed using blob free-energy arguments. We find spontaneous segregation under the condition: $L > R_{//}$,…

Biological Physics · Physics 2012-11-20 Ya Liu , Bulbul Chakraborty

The non-equilibrium structural and dynamical properties of a flexible polymer tethered to a reflecting wall and subject to oscillatory linear flow are studied by numerical simulations. Polymer is confined in two dimensions and is modeled as…

Soft Condensed Matter · Physics 2024-07-30 A. Lamura

Semiflexible polymers are ubiquitous in natural and artificial systems, where their intermediate rigidity gives rise to rich structural and dynamical behavior. Confinement plays a central role in these behaviors, as spatial restrictions can…

Soft Condensed Matter · Physics 2026-03-31 Nasir Amiri , Jonathan P. Singer , Xin Yong

Computer simulation studies on the miscibility behavior and single chain properties in binary polymer blends are reviewed. We consider blends of various architectures in order to identify important architectural parameters on a coarse…

Statistical Mechanics · Physics 2007-05-23 Marcus Mueller

Using Langevin dynamics complemented by Wang-Landau Monte Carlo simulations, we study the phase behavior of single and multiple semiflexible polymer chains in solution under poor-solvent conditions. In the case of a single chain, we obtain…

Using a mapping of compact polymers on the Manhattan lattice to spanning trees, we calculate exactly the average number of bends at infinite temperature. We then find, in a high temperature approximation, the energy of the system as a…

Statistical Mechanics · Physics 2010-03-12 Armin Rahmani , Andrea Velenich , Claudio Chamon