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The primitive-path analysis (PPA) {[}R. Everaers et al. Science 303, 823, (2004){]} is an algorithm that transforms a model polymer melt into its topologically equivalent mesh by removing excess contour length stored in thermal…

软凝聚态物质 · 物理学 2024-01-22 Carsten Svaneborg

Primitive path analysis algorithms are now routinely employed to analyze entanglements in computer simulations of polymeric systems, but different analysis protocols result in different estimates of the entanglement length, N_e. Here we…

软凝聚态物质 · 物理学 2013-05-30 Ralf Everaers

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…

软凝聚态物质 · 物理学 2019-09-11 Hsiao-Ping Hsu , Kurt Kremer

We use recently developed primitive path analysis (PPA) methods to study the effect of equilibration on entanglement density in model polymeric systems. Values of N_e for two commonly used equilibration methods differ by a factor of two or…

软凝聚态物质 · 物理学 2009-11-11 Robert S. Hoy , Mark O. Robbins

We introduce an algorithm for the reduction of computer generated atomistic polymer samples to networks of primitive paths. By examining network ensembles of Polyethylene and cis-1,4 Polybutadiene melts, we quantify the underlying…

软凝聚态物质 · 物理学 2007-05-23 Christos Tzoumanekas , Doros N. Theodorou

By combining molecular dynamics simulations and topological analyses with scaling arguments, we obtain analytic expressions that quantitatively predict the entanglement length $N_e$, the plateau modulus $G$, and the tube diameter $a$ in…

软凝聚态物质 · 物理学 2020-04-15 Robert S. Hoy , Martin Kröger

Primitive path analyses of entanglements are performed over a wide range of chain lengths for both bead spring and atomistic polyethylene polymer melts. Estimators for the entanglement length N_e which operate on results for a single chain…

软凝聚态物质 · 物理学 2015-05-13 Robert S. Hoy , Katerina Foteinopoulou , Martin Kröger

By applying local primitive path and Rouse modes analysis we study the chains conformations, local dynamics and viscosity of a model polymer melt in a polymer-wall interface. We establish that the presence of a repulsive wall leads to…

材料科学 · 物理学 2009-11-11 Mihail Vladkov , J. -L. Barrat

Extensive molecular simulations are applied to characterize the equilibrium dynamics, entanglement topology, and nonlinear extensional rheology of symmetric ring-linear polymer blends with systematically varied ring fraction $\phi_R$.…

软凝聚态物质 · 物理学 2021-12-15 Thomas C. O'Connor , Ting Ge , Gary S. Grest

We have investigated the viscosity and the plateau modulus of actin solutions with a magnetically driven rotating disc rheometer. For entangled solutions we observed a scaling of the plateau modulus versus concentration with a power of 7/5.…

软凝聚态物质 · 物理学 2009-10-30 B. Hinner , M. Tempel , E. Sackmann , K. Kroy , E. Frey

Drawing inspiration from the concept of the "primitive path" of a linear chain in melt conditions, we introduce here a numerical protocol which allows us to detect, in an unambiguous manner, the "primitive shapes" of ring polymers in…

软凝聚态物质 · 物理学 2025-11-26 Mattia A. Ubertini , Angelo Rosa

Entangled networks of stiff biopolymers exhibit complex dynamic response, emerging from the topological constraints that neighboring filaments impose upon each other. We propose a class of reference models for entanglement dynamics of stiff…

软凝聚态物质 · 物理学 2008-06-23 Felix Höfling , Tobias Munk , Erwin Frey , Thomas Franosch

Confinement is a versatile and well-established tool to study the properties of polymers either to understand biological processes or to develop new nano-biomaterials. We investigate the conformations of a semiflexible polymer ring in weak…

软凝聚态物质 · 物理学 2010-06-25 Katja Ostermeir , Karen Alim , Erwin Frey

Although the behavior of entangled polymers in startup shear flows with constant shear rates has been thoroughly investigated, the response under creep has not been frequently considered. In this study, primitive chain network simulations,…

软凝聚态物质 · 物理学 2026-02-03 Yuichi Masubuchi , Giovanni Ianniruberto , Giuseppe Marrucci

The polymer systems are discussed in the framework of the Landau-Ginzburg model. The model is derived from the mesoscopic Edwards hamiltonian via the conditional partition function. We discuss flexible, semiflexible and rigid polymers. The…

凝聚态物理 · 物理学 2007-05-23 Robert Holyst , T. A. Vilgis

We present experimental evidence that the effective medium approximation (EMA), developed by D.C. Morse [Phys. Rev. E {\bf 63}, 031502, (2001)], provides the correct scaling law of the macroscopic plateau modulus…

软凝聚态物质 · 物理学 2009-11-13 Manlio Tassieri , R. M. L. Evans , Lucian Barbu-Tudoran , G. Nasir Khan , John Trinick , Tom A. Waigh

This review describes the development and applications of multi-chain coarse-grained simulations for entangled polymer dynamics. The mean-field tube model has long served as the standard paradigm for describing the many-body entanglement…

软凝聚态物质 · 物理学 2026-03-31 Yuichi Masubuchi

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…

软凝聚态物质 · 物理学 2020-10-14 Hsiao-Ping Hsu , Kurt Kremer

We have mapped the physics of a system of semi-flexible inextensible polymers onto a complex Ginzburg-Landau field theory using techniques of functional integration. It is shown in the limit of low number density of monomers in a melt of…

软凝聚态物质 · 物理学 2007-05-23 Shirish M. Chitanvis

We estimate the plateau moduli of highly entangled end-pinned bead-spring polymer melts with Z = 100 and Z = 200 from the time-dependent elastic response to a step strain, which we first extrapolate to infinite time and then interpolate to…

软凝聚态物质 · 物理学 2026-03-31 Carsten Svaneborg , Ralf Everaers
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