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We report on a computational study of the statics and dynamics of long flexible linear polymers that spontaneously knot and unknot. Specifically, the equilibrium self-entanglement properties, such as the knotting probability, knot length…

Soft Condensed Matter · Physics 2013-04-15 Luca Tubiana , Angelo Rosa , Filippo Fragiacomo , Cristian Micheletti

Viscosity overshoot of entangled polymer melts has been observed under shear flow and uniaxial elongational flow, but has never been observed under biaxial elongational flow. We confirmed the presence of viscosity overshoot under biaxial…

Soft Condensed Matter · Physics 2021-07-22 T. Murashima , K. Hagita , T. Kawakatsu

We develop an effective medium approach to the mechanics of disordered, semiflexible polymer networks and study the response of such networks to uniform and nonuniform strain. We identify distinct elastic regimes in which the contributions…

Soft Condensed Matter · Physics 2009-11-11 Moumita Das , F. C. MacKintosh , Alex Levine

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 study the translocation of a semiflexible polymer through extended pores with patterned stickiness, using Langevin dynamics simulations. We find that the consequence of pore patterning on the translocation time dynamics is dramatic and…

Soft Condensed Matter · Physics 2018-05-02 Rajneesh Kumar , Abhishek Chaudhuri , Rajeev Kapri

A mesoscopic model for shear plasticity of amorphous materials in two dimensions is introduced, and studied through numerical simulations in order to elucidate the macroscopic (large scale) mechanical behavior. Plastic deformation is…

Soft Condensed Matter · Physics 2012-05-17 Mehdi Talamali , Viljo Petäjä , Damien Vandembroucq , Stéphane Roux

We study the structure and dynamics of a transient network composed of droplets of microemulsion connected by telechelic polymers. The polymer induces a bridging attraction between droplets without changing their shape. A viscoelastic…

Soft Condensed Matter · Physics 2009-10-31 F. Molino , J. Appell , M. Filali , E. Michel , G. Porte , S. Mora , E. Sunyer

Disordered filamentous networks with compliant crosslinks exhibit a low linear elastic shear modulus at small strains, but stiffen dramatically at high strains. Experiments have shown that the elastic modulus can increase by up to three…

Biological Physics · Physics 2015-01-06 Knut M. Heidemann , Abhinav Sharma , Florian Rehfeldt , Christoph F. Schmidt , Max Wardetzky

Dense rubbery networks are highly entangled polymer systems, with significant topological restrictions for the mobility of neighbouring chains and crosslinks preventing the reptation constraint release. In a mean field approach,…

Soft Condensed Matter · Physics 2009-11-07 S. Kutter , E. M. Terentjev

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

We describe a simple meanfield variational approach to study a number of properties of intrinsically stiff chains which are appropriate models for a large class of biopolymers. We present the calculation of the distribution of end-to-end…

Soft Condensed Matter · Physics 2008-02-03 D. Thirumalai , B. -Y. Ha

We consider the impact of the elastomer network on the structure and fluctuations in the isotropic-genesis nematic elastomer, via a phenomenological model that underscores the role of network compliance. The model contains a…

Soft Condensed Matter · Physics 2015-06-04 Bing-Sui Lu , Fangfu Ye , Xiangjun Xing , Paul M. Goldbart

A theory of stress fields in two-dimensional granular materials based on directed force chain networks is presented. A general equation for the densities of force chains in different directions is proposed and a complete solution is…

Condensed Matter · Physics 2009-11-07 J. E. S. Socolar , D. G. Schaeffer , P. Claudin

Entanglement of polymer chains is ubiquitous in elastomers, gels, and biological tissues. While the effects of chain entanglement on elasticity and viscoelasticity of polymer networks have been intensively studied, it remains elusive how…

Soft Condensed Matter · Physics 2021-12-24 Dongchang Zheng , Shaoting Lin , Jiahua Ni , Xuanhe Zhao

Dielectric elastomers (DEs) that couple deformation and electrostatics have the potential for use in soft sensors and actuators with applications ranging from robotic, biomedical, energy, aerospace and automotive technologies. However,…

Soft Condensed Matter · Physics 2020-10-07 Matthew Grasinger , Kaushik Dayal

How finite-sized material lines stretch in chaotic (mono-scale) and turbulent (multi-scale) flows remains a central but unresolved problem that governs mixing, transport and reaction. We show elongation is controlled by a finite-sampling…

Fluid Dynamics · Physics 2026-04-21 Daniel Lester , Marco Dentz

Disordered athermal biopolymer materials, such as collagen networks that constitute a major component in extracellular matrices and various connective tissues, are initially soft and compliant but stiffen dramatically under strain. Such…

Soft Condensed Matter · Physics 2025-09-19 Zibin Zhang , Eran Bouchbinder , Edan Lerner

We analyze a (1+1)-dimension directed random walk model of a polymer dipped in a medium constituted by two immiscible solvents separated by a flat interface. The polymer chain is heterogeneous in the sense that a single monomer may…

Probability · Mathematics 2007-05-23 Erwin Bolthausen , Giambattista Giacomin

The long-range entanglement dynamics of an one-dimensional spin-1/2 anisotropic XXZ model are studied using the method of the adaptive time-dependent density-matrix renormalization-group. The long-range entanglement can be generated when a…

Quantum Physics · Physics 2010-06-02 Jie Ren , Shiqun Zhu

We use the recently introduced small-world networks (SWN) to model cross-linked polymers, as an extension of the linear Rouse-chain. We study the SWN-dynamics under the influence of external forces. Our focus is on the structurally and…

Statistical Mechanics · Physics 2009-10-31 S. Jespersen , I. M. Sokolov , A. Blumen