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In this work, we study a class of nonlocal-in-time kinetic models of incompressible dilute polymeric fluids. The system couples a macroscopic balance of linear momentum equation with a mezoscopic subdiffusive Fokker-Planck equation…

Analysis of PDEs · Mathematics 2025-11-11 Marvin Fritz , Endre Süli , Barbara Wohlmuth

Although the non-equilibrium behaviour of polymer solutions is generally well understood, particularly in extensional flow, there remain several unanswered questions for dilute solutions in simple shear flow, and full quantitative agreement…

Soft Condensed Matter · Physics 2024-06-19 I. Pincus , A. Rodger , J. Ravi Prakash

The dynamics of filaments in flow are central to understanding a wide range of biological and soft-matter systems, yet their behavior under time-dependent forcing remains poorly understood. Here, we investigate the long-time dynamics of…

Soft Condensed Matter · Physics 2026-01-05 Francesco Bonacci , Brato Chakrabarti , Olivia du Roure , Anke Lindner , David Saintillan

Nonlinear extensional flows are common in polymer processing but remain challenging theoretically because dramatic stretching of chains deforms the entanglement network far from equilibrium. Here, we present coarse-grained simulations of…

Soft Condensed Matter · Physics 2018-08-15 Thomas C. O'Connor , Nicolas J. Alvarez , Mark O. Robbins

We use nonequilibrium molecular dynamics simulations to verify recent tube-model predictions that associative polymer networks exhibit broad stretch fluctuations during elongational flow. Simulations further show that these fluctuating…

Soft Condensed Matter · Physics 2025-04-11 Songyue Liu , Thomas C. O'Connor

We present simulations on a binary blend of bead-spring polymer chains. The introduction of monomer size disparity yields very different relaxation times for each component of the blend. Competition between two different arrest mechanisms,…

Soft Condensed Matter · Physics 2007-05-23 Angel J. Moreno , Juan Colmenero

In polymer melts, the interaction between segments are considered to be screened and the ideal Gaussian chain statistics is recovered. The experimental fact that linear viscoelasticity of unentangled polymers can be well described by the…

Soft Condensed Matter · Physics 2021-04-28 Takashi Uneyama

We investigate the universality of entanglement kinetics in polymer melts. We compare predictions of a recently developed constitutive equation for disentanglement to molecular dynamics simulations of both united-atom polyethylene and…

Soft Condensed Matter · Physics 2024-07-09 Benjamin E. Dolata , Marco A Galvani Cunha , Thomas O'Connor , Austin Hopkins , Peter D. Olmsted

We study a quasi-one-dimensional fluid of hard dumbbells with continuous orientational degrees of freedom using an exact transfer-matrix formulation. The model allows for a complete analytical characterization of thermodynamic properties,…

Soft Condensed Matter · Physics 2026-05-14 Ana M. Montero , Péter Gurin , Szabolcs Varga , Andrés Santos

We present a simple analytical theory of flexible polymer chain dissolved in a good solvent, carrying permanent freely oriented dipoles on the monomers. We take into account the dipole correlations within the random phase approximation…

Soft Condensed Matter · Physics 2017-03-17 Yu. A. Budkov , N. N. Kalikin , A. L. Kolesnikov

The 2D flow of a foam confined in a Hele-Shaw cell through a contraction is investigated. Its rheological features are quantified using image analysis, with measurements of the elastic stress, rate of plasticity, and velocity. The behavior…

Soft Condensed Matter · Physics 2015-05-13 Benjamin Dollet

The recently proposed dynamical effective field model (DEFM) is quantitatively accurate for describing dynamical magnetic response of ferrofluids. In paper I it is derived under the framework of dynamical density functional theory, via…

Soft Condensed Matter · Physics 2020-11-17 Angbo Fang

We present experimental evidence of global viscoelastic flow transitions in 2:1, 8:1 and 32:1 planar contractions under inertia-less conditions. Light sheet visualization and laser Doppler velocimetry techniques are used to probe spatial…

Soft Condensed Matter · Physics 2011-02-10 Lars Geneiser , Arvind Gopinath , Robert Armstrong , Robert Brown

Periodic boundary conditions for planar mixed flows are implemented in the context of a multi-chain Brownian dynamics simulation algorithm. The effect of shear rate $\dot{\gamma}$, and extension rate $\dot{\epsilon}$, on the size of polymer…

Soft Condensed Matter · Physics 2020-07-03 Aashish Jain , Chandi Sasmal , Remco Hartkamp , B. D. Todd , J. Ravi Prakash

We consider systems of particles hopping stochastically on $d$-dimensional lattices with space-dependent probabilities. We map the master equation onto an evolution equation in a Fock space where the dynamics are given by a quantum…

Condensed Matter · Physics 2007-05-23 Gunter Schuetz , Sven Sandow

An experimental investigation of the impact of sample inhomogeneity on measurements of the linear elongational viscosity of two low-density polyethelenes is presented. A novel method of in-situ measurements of the diameter of samples under…

Soft Condensed Matter · Physics 2016-09-08 Teodor I. Burghelea , Helmut Muenstedt

In this fluid dynamics video we explore an array of different possible dynamics for a flexible filament sedimenting in a viscous fluid. The time-dependent shapes and trajectories of the filament are determined analytically and numerically…

Fluid Dynamics · Physics 2013-10-03 Harishankar Manikantan , Lei Li , David Saintillan , Saverio E. Spagnolie

Polymers in a turbulent flow are subject to intense strain, which can cause their scission and thereby limit the experimental study and application of phenomena such as turbulent drag reduction and elastic turbulence. In this paper, we…

Fluid Dynamics · Physics 2021-02-17 Dario Vincenzi , Takeshi Watanabe , Samriddhi Sankar Ray , Jason R. Picardo

Two alternative routes are taken to derive, on the basis of the dynamics of a finite number of dumbbells, viscoelasticity in terms of a conformation tensor with fluctuations. The first route is a direct approach using stochastic calculus…

Soft Condensed Matter · Physics 2020-11-06 Markus Hütter , Peter D. Olmsted , Daniel J. Read

We apply monomer-resolved computer simulations of supercoiled ring polymers under shear, taking full account of the hydrodynamic interactions, accompanied, in parallel, by simulations in which these are switched off. The combination of…

Soft Condensed Matter · Physics 2024-04-17 Christoph Schneck , Jan Smrek , Christos N. Likos , Andreas Zöttl