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A long standing puzzle in the rheology of living cells is the origin of the experimentally observed long time stress relaxation. The mechanics of the cell is largely dictated by the cytoskeleton, which is a biopolymer network consisting of…

Biological Physics · Physics 2021-10-04 Sihan Chen , Chase P. Broedersz , Tomer Markovich , Fred C. MacKintosh

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…

Statistical Mechanics · Physics 2009-10-31 M. Mueller , J. P. Wittmer , J. -L. Barrat

We introduce an entropic network model for copolymer elastomers based on the evolution of microscopic chain conformations during deformation. We show that the stress results from additive contributions due to chain stretch at the global as…

Soft Condensed Matter · Physics 2018-07-17 Amanda J. Parker , Joerg Rottler

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 $\phi_R$.…

Soft Condensed Matter · Physics 2021-12-15 Thomas C. O'Connor , Ting Ge , Gary S. Grest

Polydispersity is inevitable in industrially produced polymers. Established theories of polymer dynamics and rheology, however, were mostly built on monodisperse linear polymers. Dynamics of polydisperse polymers is yet to be fully explored…

Soft Condensed Matter · Physics 2021-06-29 Oluseye Adeyemi , Shiping Zhu , Li Xi

Ring polymers remain a major challenge to our current understanding of polymer dynamics. Experimental results are difficult to interpret because of the uncertainty in the purity and dispersity of the sample. Using both equilibrium and…

Soft Condensed Matter · Physics 2015-06-03 Jonathan D. Halverson , Gary S. Grest , Alexander Y. Grosberg , Kurt Kremer

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,…

Soft Condensed Matter · Physics 2026-02-03 Yuichi Masubuchi , Giovanni Ianniruberto , Giuseppe Marrucci

This study presents a Eulerian theory to elucidate the molecular kinematics in polymer networks and their connection to continuum deformation, grounded in fundamental statistical physics and thermodynamics. Three key innovations are…

Soft Condensed Matter · Physics 2025-07-16 Siyu Wang , Heng Xiao , Lin Zhan

Solutions of polymer chains are modelled using non-equilibrium Brownian dynamics simulations, with physically associative beads which form reversible crosslinks to establish a system-spanning physical gel network. Rheological properties…

Soft Condensed Matter · Physics 2024-06-19 Dominic Robe , Aritra Santra , Gareth H. McKinley , J. Ravi Prakash

The viscous flow of polymer chains in dense melts is dominated by topological constraints whenever the single chain contour length, N, becomes larger than the characteristic scale Ne, defining comprehensively the macroscopic rheological…

Soft Condensed Matter · Physics 2023-07-19 Mattia Alberto Ubertini , Angelo Rosa

Reptation theory has been highly successful in explaining the unusual material properties of entangled polymer solutions. It reduces the complex many-body dynamics to a single-polymer description where each polymer is envisaged to be…

Soft Condensed Matter · Physics 2018-02-13 Philipp Lang , Erwin Frey

Simulations are used to examine the microscopic origins of strain hardening in polymer glasses. While stress-strain curves for a wide range of temperature can be fit to the functional form predicted by entropic network models, many other…

Soft Condensed Matter · Physics 2009-11-13 Robert S. Hoy , Mark O. Robbins

In this paper, we employ Molecular Dynamics computer simulations to study and compare the statics and dynamics of linear and circular (ring) polymer chains in entangled solutions of different densities. While we confirm that linear chain…

Soft Condensed Matter · Physics 2016-02-17 Negar Nahali , Angelo Rosa

In this paper, a micro-mechanical model is introduce to characterize the stress softening phenomenon in double network hydrogels. Damage in polymer matrices under deformation, which appears as the rupture of cross-linking, is assumed to…

Applied Physics · Physics 2017-12-22 İsmail Doğan Külcü , Roozbeh Dargazany

The tube model is a central concept in polymer physics, and allows to reduce the complex many-filament problem of an entangled polymer solution to a single filament description. We investigate the probability distribution function of…

Soft Condensed Matter · Physics 2009-08-12 Hauke Hinsch , Erwin Frey

Constitutive equations are derived for the time-dependent behavior of particle-reinforced elastomers at isothermal loading with finite strains. A rubbery polymer is modelled as a network of macromolecules bridged by junctions which can slip…

Materials Science · Physics 2007-05-23 Aleksey D. Drozdov , Al Dorfmann

We simulate entangled linear polymers in free-standing thin film geometries where the confining dimension is on the same scale or smaller than the bulk chain dimensions. We compare both film-averaged and layer-resolved, spatially…

Soft Condensed Matter · Physics 2016-08-24 Daniel M. Sussman

The elasticity of rubbery polymer networks has been considered to be entropy-driven. On the other hand, studies on single polymer chain mechanics have revealed that the elasticity of ultimately stretched polymer chains is dominated by the…

Soft Condensed Matter · Physics 2024-08-06 Chika Imaoka , Tatsunari Masumi , Jian Ping Gong , Tsutomu Indei , Tasuku Nakajima

Molecular dynamics simulations were performed for a polymer melt. In quiescent states, the inter-chain interaction energy supported by each particle takes relatively large values persistently for long times if the particle is close to an…

Soft Condensed Matter · Physics 2007-05-23 Ryoichi Yamamoto , Akira Onuki

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