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We study dynamics of a Rouse polymer chain, which diffuses in a three-dimensional space under the constraint that one of its ends, referred to as the slip-link, may move only along a one-dimensional line containing randomly placed,…

Statistical Mechanics · Physics 2007-05-23 S. Nechaev , G. Oshanin , A. Blumen

The classical rheological theories of entangled polymeric liquids are built upon two pillars: Gaussian statistics of entanglement strands and the assumption that the stress arises exclusively from the change of intramolecular configuration…

Soft Condensed Matter · Physics 2019-06-13 Wen-Sheng Xu , Christopher N. Lam , Jan-Michael Y. Carrillo , Bobby G. Sumpter , Yangyang Wang

We have developed a new multiscale simulation technique to investigate history-dependent flow behavior of entangled polymer melt, using a smoothed particle hydrodynamics simulation with microscopic simulators that account for the dynamics…

Soft Condensed Matter · Physics 2011-11-01 Takahiro Murashima , Takashi Taniguchi

In this work we are concerned with the crossover between strong disorder (SD) and weak disorder (WD) behaviors in three well-known problems that involve minimal paths: directed polymers (directed paths with fixed starting point and length),…

Statistical Mechanics · Physics 2024-06-24 Daniel Villarrubia-Moreno , Pedro Córdoba-Torres

Predicting the behaviour of complex systems is one of the main goals of science. An important example is plastic deformation of micron-scale crystals, a process mediated by collective dynamics of dislocations, manifested as broadly…

Materials Science · Physics 2022-06-03 Marcin Mińkowski , David Kurunczi-Papp , Lasse Laurson

Two series of uniaxial tensile tests are performed on isotactic polypropylene with the strain rates ranging from 5 to 200 mm/min. In the first series, injection-molded specimens are used without thermal pre-treatment, whereas in the other…

Materials Science · Physics 2007-05-23 A. D. Drozdov , J. deC. Christiansen

Statistical mechanics is an important tool for understanding polymer electroelasticity because the elasticity of polymers is primarily due to entropy. However, a common approach for the statistical mechanics of polymer chains, the Gaussian…

Soft Condensed Matter · Physics 2021-04-28 Matthew Grasinger , Carmel Majidi , Kaushik Dayal

Polymer melts undergoing large deformation by uniaxial elongation are studied by molecular dynamics simulations of bead-spring chains in melts. Applying a primitive path analysis to strongly deformed polymer melts, the role of topological…

Soft Condensed Matter · Physics 2019-09-11 Hsiao-Ping Hsu , Kurt Kremer

We present atomistic molecular dynamics simulations of two Polyethylene systems where all entanglements are trapped: a perfect network, and a melt with grafted chain ends. We examine microscopically at what level topological constraints can…

Soft Condensed Matter · Physics 2015-03-13 Stefanos D. Anogiannakis , Christos Tzoumanekas , Doros N. Theodorou

We study the dynamics of local bond orientation in regular hyperbranched polymers modeled by Vicsek fractals. The local dynamics is investigated through the temporal autocorrelation functions of single bonds and the corresponding relaxation…

Soft Condensed Matter · Physics 2016-07-26 Maxim Dolgushev , Denis A. Markelov , Florian Fürstenberg , Thomas Guérin

Mutual uncrossability of polymers generates topological constraints on their conformations and dynamics, which are generally described using the tube model. We imaged confinement tubes for individual polymers within a F-actin solution by…

Soft Condensed Matter · Physics 2009-08-20 M. Romanowska , H. Hinsch , N. Kirchgessner , M. Giesen , M. Degawa , B. Hoffmann , E. Frey , R. Merkel

We study the elasticity of fibrous materials composed of generalized stiff polymers. It is shown that in contrast to cellular foam-like structures affine strain fields are generically unstable. Instead, a subtle interplay between the…

Soft Condensed Matter · Physics 2007-05-23 Claus Heussinger , Erwin Frey

The elastic modulus $G$ of a polymer network depends notably on parameters such as the initial concentration of the monomers before the synthesis ($\rho_0$), the density of the cross-linker, or the topology of the network. Understanding how…

Soft Condensed Matter · Physics 2025-06-12 Jiting Tian , Jean-Louis Barrat , Walter Kob

The dynamic-mechanical response of flexible polymer networks is studied in the framework of tube model, in the limit of small affine deformations, using the approach based on Rayleighian dissipation function. The dynamic complex modulus G*…

Soft Condensed Matter · Physics 2009-10-31 S. F. Edwards , H. Takano , E. M. Terentjev

Tracer-diffusion of small molecules through dense systems of chain polymers is studied within an athermal lattice model, where hard core interactions are taken into account by means of the site exclusion principle. An approximate mapping of…

Soft Condensed Matter · Physics 2009-11-07 O. Durr , T. Volz , W. Dieterich , A. Nitzan

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

A thermodynamically related model is developed for describing elastic rubber-like behavior of amorphous and crystallizing polymers and demonstrated on example of simple extension. Both the “entropic” and “energetic”…

Soft Condensed Matter · Physics 2007-05-23 Arkady I. Leonov

We study the interplay between entropy and topological constraints for a polymer chain in which sliding rings (slip-links) enforce pair contacts between monomers. These slip-links divide a closed ring polymer into a number of sub-loops…

Statistical Mechanics · Physics 2009-11-07 Ralf Metzler , Andreas Hanke , Paul G. Dommersnes , Yacov Kantor , Mehran Kardar

This study investigated the fracture of star polymer networks made from prepolymers with various arm molecular weights in the range $2 \leq N_a \leq 0$, for node functionalities $3 \leq f \leq 8$ and conversion ratios…

Soft Condensed Matter · Physics 2026-02-02 Yuichi Masubuchi

We study the dynamics of a single chain polymer confined to a two dimensional cell. We introduce a kinetically constrained lattice gas model that preserves the connectivity of the chain, and we use this kinetically constrained model to…

Statistical Mechanics · Physics 2011-11-09 Armin Rahmani , Claudio Castelnovo , Jeremy Schmit , Claudio Chamon
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