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The statistical mechanics of a linear non-interacting polymer chain with a large number of monomers is considered with fixed angular momentum. The radius of gyration for a linear polymer is derived exactly by functional integration. This…

软凝聚态物质 · 物理学 2013-05-29 Matthew Brunner , J. M. Deutsch

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…

软凝聚态物质 · 物理学 2019-06-13 Wen-Sheng Xu , Christopher N. Lam , Jan-Michael Y. Carrillo , Bobby G. Sumpter , Yangyang Wang

Bead spring models for polymers in solution are nonlinear if either the finite extensibility of the polymer, excluded volume effects or hydrodynamic interactions between polymer segments are taken into account. For such models we use a…

软凝聚态物质 · 物理学 2009-11-07 Roland Rzehak , Walter Zimmermann

We consider polymers in which M randomly selected pairs of monomers are restricted to be in contact. Analytical arguments and numerical simulations show that an ideal (Gaussian) chain of N monomers remains expanded as long as M<<N; its mean…

凝聚态物理 · 物理学 2009-10-28 Yacov Kantor , Mehran Kardar

The Langevin dynamics of a self - interacting chain embedded in a quenched random medium is investigated by making use of the generating functional method and one - loop (Hartree) approximation. We have shown how this intrinsic disorder…

统计力学 · 物理学 2007-05-23 Gabriele Migliorini , Vakhtang G. Rostiashvili , Thomas A. Vilgis

The coupled dynamics of entangled polymers which span a broad time and length scales govern the unique viscoelastic properties of polymers. To follow chain mobility by numerical simulations from the intermediate Rouse and reptation regimes…

软凝聚态物质 · 物理学 2016-11-03 Gary S. Grest

The conformational and dynamical properties of active ring polymers are studied by numerical simulations. The two-dimensionally confined polymer is modeled as a closed bead-spring chain, driven by tangential forces, put in contact with a…

软凝聚态物质 · 物理学 2024-06-03 A. Lamura

In the first part of the paper we show that the constraining potentials introduced to mimic entanglement effects in Edwards' tube model and Flory's constrained junction model are diagonal in the generalized Rouse modes of the corresponding…

统计力学 · 物理学 2009-11-07 Boris Mergell , Ralf Everaers

The interplay of topological constraints, excluded volume interactions, persistence length and dynamical entanglement length in solutions and melts of linear chains and ring polymers is investigated by means of kinetic Monte Carlo…

统计力学 · 物理学 2009-10-31 M. Mueller , J. P. Wittmer , J. -L. Barrat

We propose a simple mean-field theory for the structure of ring polymer melts. By combining the notion of topological volume fraction and a classical van der Waals theory of fluids, we take into account many body effects of topological…

软凝聚态物质 · 物理学 2015-05-27 Takahiro Sakaue

We study the scaling limit of a fully packed loop model in two dimensions, where the loops are endowed with a bending rigidity. The scaling limit is described by a three-parameter family of conformal field theories, which we characterize…

统计力学 · 物理学 2013-05-29 Jesper Lykke Jacobsen , Jane' Kondev

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

A narrow Gaussian excluded volume potential, which tends to a delta-function repulsive potential in the limit of a width parameter d* going to zero, has been used to examine the universal consequences of excluded volume interactions on the…

软凝聚态物质 · 物理学 2020-07-03 K. Satheesh Kumar , J. Ravi Prakash

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…

软凝聚态物质 · 物理学 2009-10-31 T. Kreer , J. Baschnagel , M. Mueller , K. Binder

Polymer Physics: Phenomenology of Polymeric Fluid Simulations is a review volume that I am writing. I anticipate it will take a while to complete, so I am supplying individual chapters when each is more-or-less completed. This Chapter…

软凝聚态物质 · 物理学 2022-10-26 George D. J. Phillies

We propose an efficient Monte Carlo algorithm for the off-lattice simulation of dense hard sphere polymer melts using cluster moves, called event chains, which allow for a rejection-free treatment of the excluded volume. Event chains also…

软凝聚态物质 · 物理学 2015-09-24 Tobias Alexander Kampmann , Horst-Holger Boltz , Jan Kierfeld

We consider a simple model for steady-state luminescence of single polymer chains in a dilute solution in the case when excitation quenching is due to energy transfer between a donor and an acceptor attached to the ends of the chain. We…

软凝聚态物质 · 物理学 2007-05-23 R. Reigada , I. M. Sokolov

We examine entanglements using monomer contacts between pairs of chains in a Brownian-dynamics simulation of a polymer melt. A map of contact positions with respect to the contacting monomer numbers (i,j) shows clustering in small regions…

凝聚态物理 · 物理学 2009-10-28 E. Ben-Naim , G. S. Grest , T. A. Witten , A. R. C. Baljon

We consider polymers in which M randomly selected pairs of monomers are restricted to be in contact. Analytical arguments and numerical simulations show that an ideal (Gaussian) chain of N monomers remains expanded as long as M<<N. This…

凝聚态物理 · 物理学 2009-10-28 Yacov Kantor , Mehran Kardar

Molecular dynamics simulations are used to investigate the conformations of a single polymer chain, represented by the Kremer-Grest bead-spring model, in a solution with a Lennard-Jones liquid as the solvent when the interaction strength…

软凝聚态物质 · 物理学 2021-11-17 Yisheng Huang , Shengfeng Cheng