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We report the results of extensive Dynamic Monte Carlo simulations of systems of self-assembled Equilibrium Polymers without rings in good solvent. Confirming recent theoretical predictions, the mean-chain length is found to scale as $\Lav…

Soft Condensed Matter · Physics 2009-10-31 J. P. Wittmer , A. Milchev , M. E. Cates

An off-lattice Monte Carlo algorithm for solutions of equilibrium polymers (EP) is proposed. At low and moderate densities this is shown to reproduce faithfully the (static) properties found recently for flexible linear EP using a lattice…

Statistical Mechanics · Physics 2009-10-31 A. Milchev , J. P. Wittmer , D. P. Landau

We use an off-lattice microscopic model for solutions of equilibrium polymers (EP) in a lamellar shear flow generated by means of a self-consistent external field between parallel hard walls. The individual conformations of the chains are…

Soft Condensed Matter · Physics 2009-10-31 A. Milchev , J. P. Wittmer , D. P. Landau

We investigate by means of a number of different dynamical Monte Carlo simulation methods the self-assembly of equilibrium polymers in dilute, semidilute and concentrated solutions under good-solvent conditions. In our simulations, both…

Statistical Mechanics · Physics 2009-10-31 J. P. Wittmer , P. van der Schoot , A. Milchev , J. -L. Barrat

We present a detailed study of the static and dynamic behavior of long semiflexible polymer chains in a melt. Starting from previously obtained fully equilibrated high molecular weight polymer melts [{\it Zhang et al.} ACS Macro Lett. 3,…

Soft Condensed Matter · Physics 2016-05-25 Hsiao-Ping Hsu , Kurt Kremer

Two-dimensional monodisperse linear polymer chains are known to adopt for sufficiently large chain lengths $N$ and surface fractions $\phi$ compact configurations with fractal perimeters. We show here by means of Monte Carlo simulations of…

Soft Condensed Matter · Physics 2025-08-04 J. P. Wittmer , A. Cavallo , A. Johner

The osmotic pressure $P$ in equilibrium polymers (EP) in good solvent is investigated by means of a three dimensional off-lattice Monte Carlo simulation. Our results compare well with real space renormalisation group theory and the osmotic…

Statistical Mechanics · Physics 2009-10-31 A. Milchev , J. P. Wittmer , P. van der Schoot , D. Landau

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

We use Monte Carlo simulations to study polymer melts consisting of fully flexible and moderately stiff chains in the bond fluctuation model at a volume fraction $0.5$. In order to reduce the local density fluctuations, we test a…

Soft Condensed Matter · Physics 2015-06-24 Hsiao-Ping Hsu

Semiflexible macromolecules in dilute solution under very good solvent conditions are modeled by self-avoiding walks on the simple cubic lattice ($d=3$ dimensions) and square lattice ($d=2$ dimensions), varying chain stiffness by an energy…

Soft Condensed Matter · Physics 2015-05-30 Hsiao-Ping Hsu , Kurt Binder

Single linear polymer chains in dilute solutions under good solvent conditions are studied by Monte Carlo simulations with the pruned-enriched Rosenbluth method up to the chain length $N \sim {\cal O}(10^4)$. Based on the standard simple…

Soft Condensed Matter · Physics 2015-06-24 Hsiao-Ping Hsu

We present Monte Carlo simulations of semidilute solutions of long self-attracting chain polymers near their Ising type critical point. The polymers are modeled as monodisperse self-avoiding walks on the simple cubic lattice with attraction…

Soft Condensed Matter · Physics 2009-10-30 H. Frauenkron , P. Grassberger , HLRZ Juelich , Germany

We use an off - lattice bead - spring model of a self - avoiding polymer chain immersed in a 3-dimensional quenched random medium to study chain dynamics by means of a Monte - Carlo (MC) simulation. The chain center of mass mean-squared…

Soft Condensed Matter · Physics 2007-05-23 A. Milchev , V. G. Rostiashvili , T. A. Vilgis

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

Synthetic polymers have a distribution of chain lengths which can be characterized by dispersity, D. Macroscopic properties of polymers are influenced by chain mobility in the melt and manipulating D can significantly impact these…

Chemical Physics · Physics 2024-09-30 Taofeek Tejuosho , Sohil Kollipara , Sumant Patankar , Janani Sampath

Monte Carlo simulations are used to study the behavior of two polymers under confinement in a cylindrical tube. Each polymer is modeled as a chain of hard spheres. We measure the free energy of the system, F, as a function of the distance…

Soft Condensed Matter · Physics 2015-06-22 James M. Polson , Logan G. Montgomery

Self-assembled linear structures like giant cylindrical micelles or discotic molecules in solution stacked in flexible columns are systems reminiscent of polydisperse polymer solutions.These supramolecular polymers have an equilibrium…

Soft Condensed Matter · Physics 2015-06-25 C-C Huang , H. Xu , F. Crevel , J. Wittmer , J. -P. Ryckaert

We study the equilibrium dynamics of a single polymer chain under good solvent condition. Special emphasis is laid on varying the drag force experienced by the chain while it moves. To this end we model the solvent in a mesoscopic manner by…

Soft Condensed Matter · Physics 2019-05-01 Suman Majumder , Henrik Christiansen , Wolfhard Janke

Monte Carlo (MC) simulations are used to study the dynamics of polymer translocation through a nanopore in the limit where the translocation rate is sufficiently slow that the polymer maintains a state of conformational quasi-equilibrium.…

Soft Condensed Matter · Physics 2015-06-12 James M. Polson , Anthony C. M. McCaffrey

Recent developments of microscopic mechanical experiments allow the manipulation of individual polymer molecules in two main ways: \textit{uniform} stretching by external forces and \textit{non-uniform} stretching by external fields. Many…

Biological Physics · Physics 2015-06-11 Fabio Manca , Stefano Giordano , Pier Luca Palla , Fabrizio Cleri , Luciano Colombo
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