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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…

Soft Condensed Matter · Physics 2015-05-13 Robert S. Hoy , Katerina Foteinopoulou , Martin Kröger

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…

Soft Condensed Matter · Physics 2020-04-15 Robert S. Hoy , Martin Kröger

The relationship between the plateau modulus (G_0) and the persistence length (L_p) of entangled semiflexible polymers is still uncertain. Some previous theoretical models have predicted that G_0 decreases with increasing L_p, while…

Soft Condensed Matter · Physics 2026-02-02 Yuichi Masubuchi , Manlio Tassieri , Giovanni Ianniruberto , Giuseppe Marrucci

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

Molecular dynamics simulations were conducted to investigate the structural properties of melts of nonconcatenated ring polymers and compared to melts of linear polymers. The longest rings were composed of N=1600 monomers per chain which…

Soft Condensed Matter · Physics 2011-05-02 Jonathan D. Halverson , Won Bo Lee , Gary S. Grest , Alexander Y. Grosberg , Kurt Kremer

Molecular dynamics simulations were conducted to investigate the dynamic properties of melts of nonconcatenated ring polymers and compared to melts of linear polymers. The longest rings were composed of N=1600 monomers per chain which…

Soft Condensed Matter · Physics 2011-05-02 Jonathan D. Halverson , Won Bo Lee , Gary S. Grest , Alexander Y. Grosberg , Kurt Kremer

We calculate the plateau moduli of several single-chain slip-link and slip-spring models for entangled polymers. In these models, the entanglement effects are phenomenologically modeled by introducing topological constraints such as…

Soft Condensed Matter · Physics 2023-01-20 Takashi Uneyama , Yuichi Masubuchi

Based on non-equilibrium molecular dynamics simulations of entangled polymer melts, a recent Letter [Phys. Rev. Lett. $\textbf{121}$, 047801 (2018), arXiv:1806.09509] claims that the rising extensional stress is quantitatively consistent…

Soft Condensed Matter · Physics 2019-02-13 Wen-Sheng Xu , Christopher N. Lam , Jan-Michael Y. Carrillo , Bobby G. Sumpter , Yangyang Wang

The spatial correlations of entangled polymer dynamics are examined by molecular dynamics simulations and neutron spin-echo spectroscopy. Due to the soft nature of topological constraints, the initial spatial decays of intermediate…

While nearly all theoretical and computational studies of entangled polymer melts have focused on uniform samples, polymer synthesis routes always result in some dispersity, albeit narrow, of distribution of molecular weights (D_M=M_w/M_n ~…

Soft Condensed Matter · Physics 2018-08-15 Brandon Peters , K. Michael Salerno , Ting Ge , Dvora Perahia , Gary Grest

We present an extensive analysis of the relaxation dynamics of entangled linear polymer melts via long-time molecular dynamics simulations of a generic bead-spring model. We study the mean-squared displacements, the autocorrelation function…

Soft Condensed Matter · Physics 2025-01-17 Alireza F. Behbahani , Friederike Schmid

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

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…

Condensed Matter · Physics 2009-10-28 E. Ben-Naim , G. S. Grest , T. A. Witten , A. R. C. Baljon

We present an extensive set of simulation results for the stress relaxation in equilibrium and step-strained bead-spring polymer melts. The data allow us to explore the chain dynamics and the shear relaxation modulus, $G(t)$, into the…

Soft Condensed Matter · Physics 2015-05-18 Ji Xuan Hou , Carsten Svaneborg , Ralf Everaers , Gary S. Grest

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…

Soft Condensed Matter · Physics 2009-10-31 T. Kreer , J. Baschnagel , M. Mueller , K. Binder

Self-avoiding polymers in strictly two-dimensional ($d=2$) melts are investigated by means of molecular dynamics simulation of a standard bead-spring model with chain lengths ranging up to N=2048. % The chains adopt compact configurations…

Soft Condensed Matter · Physics 2015-05-18 H. Meyer , J. P. Wittmer , T. Kreer , A. Johner , J. Baschnagel

We present results from molecular dynamics simulations of strictly two-dimensional (2D) polymer melts and thin polymer films in a slit geometry of thickness of the order of the radius of gyration. We find that the dynamics of the 2D melt is…

Soft Condensed Matter · Physics 2007-05-23 H. Meyer , T. Kreer , A. Cavallo , J. P. Wittmer , J. Baschnagel

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

We present simulation data for the motion of a polymer chain through a regular lattice of impenetrable obstacles (Evans-Edwards model). Chain lengths range from N=20 to N=640, and time up to $10^{7}$ Monte Carlo steps. For $N \geq 160$ we…

Soft Condensed Matter · Physics 2016-08-17 A. Baumgärtner , U. Ebert , L. Schäfer

We used a coarse-grained model to study the geometric and dynamic properties of flexible entangled polymer chains dissolved in explicit athermal solvents. Our simulations successfully reproduced the geometrical properties including the…

Soft Condensed Matter · Physics 2023-06-16 Jiayi Wang , Ping Gao
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