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Related papers: Static Properties of Polymer Melts in Two Dimensio…

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We investigate the dynamics and the pathways of the collapse of a single, semiflexible polymer in a poor solvent via 3-D Brownian Dynamics simulations. Earlier work indicates that the condensation of semiflexible polymers generically…

Soft Condensed Matter · Physics 2009-11-10 Alberto Montesi , Matteo Pasquali , F. C. MacKintosh

While nearly all theoretical and computational studies of entangled polymer melts have focused on uniform samples, polymer synthesis routes always result in some dispersity, albeit narrow, of distribution of molecular weights (D_M=M_w/M_n ~…

Soft Condensed Matter · Physics 2018-08-15 Brandon Peters , K. Michael Salerno , Ting Ge , Dvora Perahia , Gary Grest

We have studied the compact phase conformations of semi-flexible polymer chains confined in two dimensional nonhomogeneous media, modelled by fractals that belong to the family of modified rectangular (MR) lattices. Members of the MR family…

Statistical Mechanics · Physics 2019-05-22 D Marčetić , S Elezović-Hadžić , N Adžić , I Živić

The conformations of interacting linear polymers on a dynamical planar random lattice are studied using a random two-matrix model. An exact expression for the partition function of self-avoiding chains subject to attractive contact…

Condensed Matter · Physics 2008-02-03 Simon Dalley

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

Assuming Gaussian chain statistics along the chain contour, we generate by means of a proper fractal generator hyperbranched polymer trees which are marginally compact. Static and dynamical properties, such as the radial intrachain pair…

Soft Condensed Matter · Physics 2022-02-01 M. Dolgushev , J. P. Wittmer , A. Johner , O. Benzerara , H. Meyer , J. Baschnagel

We generalize a recently investigated lattice model of semiflexible polymers formed under equilibrium polymerization in a solution and conduct a comprehensive investigation of its melting properties. The model is characterized by six…

Condensed Matter · Physics 2007-05-23 Sagar S. Rane , P. D. Gujrati

A central paradigm of polymer physics states that chains in melts behave like random walks as intra- and interchain interactions effectively cancel each other out. Likewise, $\theta$-chains, i.e., chains at the transition from a swollen…

Soft Condensed Matter · Physics 2024-11-21 Maurice P. Schmitt , Sarah Wettermann , Kostas Ch. Daoulas , Hendrik Meyer , Peter Virnau

We present an extensive analysis of the relaxation dynamics of entangled linear polymer melts via long-time molecular dynamics simulations of a generic bead-spring model. We study the mean-squared displacements, the autocorrelation function…

Soft Condensed Matter · Physics 2025-01-17 Alireza F. Behbahani , Friederike Schmid

We explore the critical behaviour of two and three dimensional lattice models of polymers in dilute solution where the monomers carry a magnetic moment which interacts ferromagnetically with near-neighbour monomers. Specifically, the model…

Statistical Mechanics · Physics 2021-08-25 Damien Paul Foster , Debjyoti Majumdar

We present a detailed account of a recently proposed phenomenological theory for noncatenated ring polymer melts (Phys. Rev. Lett. 106, 167802 (2011)). A basic assumption lies in the implementation of the noncatenation constraint via the…

Soft Condensed Matter · Physics 2015-06-04 Takahiro Sakaue

The reorientation dynamics of local tangent vectors of chains in isotropic amorphous melts containing semiflexible model polymers was studied by molecular dynamics simulations. The reorientation is strongly influenced both by the local…

Soft Condensed Matter · Physics 2016-08-15 Roland Faller , Florian Müller-Plathe , Andreas Heuer

We study the reaction kinetics of end-functionalized polymer chains dispersed in an unreactive polymer melt. Starting from an infinite hierarchy of coupled equations for many-chain correlation functions, a closed equation is derived for the…

Soft Condensed Matter · Physics 2009-10-31 Ben O'Shaughnessy , Dimitrios Vavylonis

Conformations of partially or fully adsorbed semiflexible polymer chains are studied varying both contour length $L$, chain stiffness, $\kappa$, and the strength of the adsorption potential over a wide range. Molecular Dynamics simulations…

Soft Condensed Matter · Physics 2019-10-02 Andrey Milchev , Kurt Binder

The conformational statistics of ring polymers in melts or dense solutions is strongly affected by their quenched microscopic topological state. The effect is particularly strong for non-concatenated unknotted rings, which are known to…

Soft Condensed Matter · Physics 2015-06-17 Angelo Rosa , Ralf Everaers

We report on a computational study of the statics and dynamics of long flexible linear polymers that spontaneously knot and unknot. Specifically, the equilibrium self-entanglement properties, such as the knotting probability, knot length…

Soft Condensed Matter · Physics 2013-04-15 Luca Tubiana , Angelo Rosa , Filippo Fragiacomo , Cristian Micheletti

The fractal properties of models of randomly placed $n$-dimensional spheres ($n$=1,2,3) are studied using standard techniques for calculating fractal dimensions in empirical data (the box counting and Minkowski-sausage techniques). Using…

Condensed Matter · Physics 2009-10-28 Daniel A. Hamburger , Ofer Biham , David Avnir

Short polymer chains exhibit clear deviations from Gaussian end-to-end distance statistics, yet the molecular mechanism by which Gaussian behavior is recovered in long chains remains unestablished. Atomistic molecular dynamics simulations…

Soft Condensed Matter · Physics 2026-05-26 José A. Martins

In this paper we study the shape characteristics of a polymer chain in a good solvent using a mesoscopic level of modelling. The dissipative particle dynamics simulations are performed in the $3D$ space at a range of chain lengths $N$. The…

Soft Condensed Matter · Physics 2016-11-24 Ostap Kalyuzhnyi , Jaroslav Ilnytskyi , Yurij Holovatch , Christian von Ferber

Properties of 1,4-\textit{trans} poly (isoprene) at ambient conditions are determined by simulations on two length scales based on two different models: a full-atomistic and a mesoscopic one. The models are linked via a mapping scheme such…

Soft Condensed Matter · Physics 2009-11-07 Roland Faller , Dirk Reith