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We constrast the dynamics in model unentangled polymer melts of chains of three different stiffnesses: flexible, intermediate, and rodlike. Flexible and rodlike chains, which readily solidify into close-packed crystals (respectively with…

Soft Condensed Matter · Physics 2016-11-23 Hong T. Nguyen , Robert S. Hoy

We present a theoretical model for understanding the kinetics of a long polymer in solution. A Smoluchowski-like equation has been used to model the problem of polymer looping with a Dirac delta function sink of finite strength. The results…

Statistical Mechanics · Physics 2017-04-25 Moumita Ganguly , Anirudhha Chakraborty

We briefly review some equilibrium and nonequilibrium properties of systems with long-range interactions. Such systems, which are characterized by a potential that weakly decays at large distances, have striking properties at equilibrium,…

Statistical Mechanics · Physics 2009-11-13 Stefano Ruffo

We present an exactly solvable model of a Gaussian (flexible) polymer chain in a quenched random medium. This is the case when the random medium obeys very long range quadratic correlations. The model is solved in $d$ spatial dimensions…

Disordered Systems and Neural Networks · Physics 2009-10-31 Yohannes Shiferaw , Yadin Y. Goldschmidt

The dynamics of ring polymer melts are studied via molecular dynamics simulations of the Kremer-Grest bead-spring model. Rouse mode analysis is performed in comparison with linear polymers by changing the chain length. Rouse-like behavior…

Soft Condensed Matter · Physics 2021-09-23 Shota Goto , Kang Kim , Nobuyuki Matubayasi

The conformational and electronic properties of conducting flexible random and self-avoiding walk polymer chains are under investigation. A Hamiltonian for conjugated flexible polymers is introduced and its physical consequences are…

Condensed Matter · Physics 2009-10-22 M. Otto , T. A. Vilgis

We present a novel and rigorous approach to the Langevin dynamics of ideal polymer chains subject to internal distance constraints. The permanent constraints are modelled by harmonic potentials in the limit when the strength of the…

Soft Condensed Matter · Physics 2009-10-28 M. P. Solf , T. A. Vilgis

This study focuses on comparing the individual polymer chain dynamics in an entangled polymeric liquid under different shear and extension rates. Polymer chains under various shear rates and extension rates were simulated using a…

Chemical Physics · Physics 2021-01-15 Behrouz Behdani , Tong Mou , Cody Spratt , Slava Butcovich , Ryan Gettler , Joontaek Park

One-dimensional non-equilibrium models of particles subjected to a coagulation-diffusion process are important in understanding non-equilibrium dynamics, and fluctuation-dissipation relation. We consider in this paper transport properties…

Statistical Mechanics · Physics 2015-06-18 Jean-Yves Fortin

A restricted dynamics, previously introduced in a kinetic model for relaxation phenomena in linear polymer chains, is used to study the dynamic critical exponent of one-dimensional Ising models. Both the alternating isotopic chain and the…

Condensed Matter · Physics 2009-10-31 L. L. Goncalves , M. Lopez de Haro , J. Taguena-Martinez

Most of the theoretical models describing the translocation of a polymer chain through a nanopore use the hypothesis that the polymer is always relaxed during the complete process. In other words, models generally assume that the…

Biomolecules · Quantitative Biology 2009-11-13 Michel G. Gauthier , Gary W. Slater

We revisit a model of semiflexible Gaussian chains proposed by Winkler \textit{et al}, solve the dynamics of the discrete description of the model and derive exact algebraic expressions for some of the most relevant dynamical observables,…

Soft Condensed Matter · Physics 2022-11-02 Andres R. Tejedor , Jaime R. Tejedor , Jorge Ramirez

In entangled polymer systems, there are several characteristic time scales, such as the entanglement time and the disengagement time. In molecular simulations, the longest relaxation time (the disengagement time) can be determined by the…

Soft Condensed Matter · Physics 2015-06-11 Takashi Uneyama , Takuma Akimoto , Tomoshige Miyaguchi

We study stress relaxation in several types of entangled monodisperse linear polymer melts by comparing the shear stress relaxation modulus, $G(t)$, with the end-to-end vector autocorrelation function, $P(t)$. The study includes three…

Soft Condensed Matter · Physics 2026-02-26 Alireza F. Behbahani

Molecular dynamics simulations of a short-chain polymer melt between two brush-covered surfaces under shear have been performed. The end-grafted polymers which constitute the brush have the same chemical properties as the free chains in the…

Soft Condensed Matter · Physics 2016-08-31 Claudio Pastorino , Torsten Kreer , Marcus Mueller , Kurt Binder

We investigate conformations and dynamics of a polymer considering its monomers to be active Brownian particles. This active polymer shows very intriguing physical behavior which is absent in an active Rouse chain. The chain initially…

Soft Condensed Matter · Physics 2020-04-13 Shalabh K. Anand , Sunil P. Singh

We study the conformations of polymer chains in a poor solvent, with and without bending rigidity, by means of a simple statistical mechanics model. This model can be exactly solved for chains of length up to N=55 using exact enumeration…

Statistical Mechanics · Physics 2007-11-26 Anthony J. Guttmann , Jesper L. Jacobsen , Iwan Jensen , Sanjay Kumar

The non-equilibrium structural and dynamical properties of a flexible polymer tethered to a reflecting wall and subject to oscillatory linear flow are studied by numerical simulations. Polymer is confined in two dimensions and is modeled as…

Soft Condensed Matter · Physics 2024-07-30 A. Lamura

The formation of interface from an initial sharp interface in polydisperse A/B blends is studied using the external potential dynamic method. The present model is a nonlocal coupling model as we take into account the correlation between…

Soft Condensed Matter · Physics 2015-05-13 Shuanhu Qi , Xinghu Zhang , Dadong Yan

We analyze structural and conformational properties in a simulated bead-spring model of a non-entangled, supercooled polymer melt. We explore the statics of the model via various structure factors, involving not only the monomers, but also…

Soft Condensed Matter · Physics 2009-11-10 Martin Aichele , Song-Ho Chong , Jörg Baschnagel , Matthias Fuchs
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