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The dynamics of polymers in a random smooth flow is investigated in the framework of the Hookean dumbbell model. The analytical expression of the time-dependent probability density function of polymer elongation is derived explicitly for a…

Chaotic Dynamics · Physics 2009-11-10 A. Celani , S. Musacchio , D. Vincenzi

Steady shearing and planar extension are commonly viewed as two distinct types of flow field, especially in the context of probing the rheology of complex fluids. By leveraging the kinematic equivalence between the two flows, we derive an…

Soft Condensed Matter · Physics 2026-04-14 Nicholas King , Gareth H. McKinley

In this study, we delve into the intricacies of elastoviscoplastic (EVP) fluids, particularly focusing on how polymer additives influence their extensional behavior. Our findings reveal that polymer additives significantly alter the…

Fluid Dynamics · Physics 2024-06-11 Mohamed S. Abdelgawad , Simon J. Haward , Amy Q. Shen , Marco E. Rosti

We investigate the conformational and dynamical properties of a partially active Rouse chain, where activity is localized within a specific segment, positioned at various locations along the chain and spanning any given length. Through…

Soft Condensed Matter · Physics 2024-12-06 Koushik Goswami , Norman Hsia , Cheng-Hung Chang , Hong-Yan Shih

We determine the second, third, and fourth virial coefficients appearing in the density expansion of the osmotic pressure of a monodisperse polymer solution in good-solvent conditions. Using the expected large-concentration behavior, we…

Statistical Mechanics · Physics 2007-05-23 Sergio Caracciolo , Bortolo Matteo Mognetti , Andrea Pelissetto

We analyse bead--spring polymers coupled to Navier--Stokes turbulence in ultra--dilute solutions at Weissenberg number \(Wi\approx 80\). The polymers do not alter the large-scale turbulent structure, but hydrodynamic interactions generate…

Fluid Dynamics · Physics 2026-05-26 Demosthenes Kivotides

The influence of an external flow on the relaxation dynamics of a single polymer is investigated theoretically and numerically. We show that a pronounced dynamical slowdown occurs in the vicinity of the coil-stretch transition, especially…

Chaotic Dynamics · Physics 2007-05-23 Antonio Celani , Alberto Puliafito , Dario Vincenzi

Complex flow fields govern the deformation of polymers in various manufacturing processes. However, high flow rates may trigger reaction events (i.e., bond breaking or undesirable reaction of mechanophores) in raw polymeric materials,…

Soft Condensed Matter · Physics 2025-06-05 Mingchao Wang , Stephen Sanderson , Debra J. Searles

The viscoelastic effect on the hydrodynamic relaxation in semidilute polymer solutions is investigated. From the linearized two-fluid model equations, we predict that the dynamical asymmetry coupling between the velocity fluctuations and…

Soft Condensed Matter · Physics 2009-11-07 Akira Furukawa

The crossover region in the phase diagram of polymer solutions, in the regime above the overlap concentration, is explored by Brownian Dynamics simulations, to map out the universal crossover scaling functions for the gyration radius and…

Soft Condensed Matter · Physics 2020-07-03 Aashish Jain , B. Duenweg , J. Ravi Prakash

Chemically-responsive polymers are macromolecules that respond to local variations of the chemical composition of the solution by changing their conformation, with notable examples including polyelectrolytes, proteins and DNA. The polymer…

Soft Condensed Matter · Physics 2022-07-27 Marco De Corato , Marino Arroyo

Shear flow is known to induce huge density fluctuations in otherwise clear and uniform polymer solutions. This effect is rooted in the elasticity of the entangled polymer network, and can span distances over a thousand chains wide. It has…

Computational Physics · Physics 2018-08-21 Airidas Korolkovas

We study the dynamics of a polymer that is pulled by a constant force through a viscoelastic medium. This is a model for a polymer being pulled through a cell by an external force, or for an active biopolymer moving due to a self generated…

Soft Condensed Matter · Physics 2015-06-22 Hans Vandebroek , Carlo Vanderzande

Dilute polymer solutions are known to exhibit purely elastic instabilities even when the fluid inertia is negligible. Here we report the quantitative evidence of two consecutive oscillatory elastic instabilities in an elongation flow of a…

Soft Condensed Matter · Physics 2021-02-22 Atul Varshney , Eldad Afik , Yoav Kaplan , Victor Steinberg

We investigate the expansion dynamics of a dilute Fermi gas at unitarity in the context of dissipative fluid dynamics. Our aim is to quantify the effects of shear viscosity on the time evolution of the system. We compare exact numerical…

Quantum Gases · Physics 2013-05-29 Thomas Schaefer

Polymer stretching in random smooth flows is investigated within the framework of the FENE dumbbell model. The advecting flow is Gaussian and short-correlated in time. The stationary probability density function of polymer extension is…

Chaotic Dynamics · Physics 2007-05-23 M. Martins Afonso , D. Vincenzi

The experimental literature on the motion of mesoscopic probe particles through polymer solutions is systematically reviewed. The primary focus is the study of diffusive motion of small probe particles. Comparison is made with measurements…

Soft Condensed Matter · Physics 2007-05-23 George D. J. Phillies

The shear viscosity eta_s(w) of dilute polymer solutions (of flexible coils) has been classically measured and interpreted in terms of the Zimm modes. We point out that the longitudinal viscosity eta_l(w) is the sum of two components…

Soft Condensed Matter · Physics 2009-11-10 Yoav Tsori , Pierre-Gilles de Gennes

The viscosity-radius relationship for semi-dilute polymer solutions is derived using scaling arguments. The viscosity temperature and the temperature radius relationships are combined using the transitive equality relationship. The…

Soft Condensed Matter · Physics 2017-10-03 Dave E. Dunstan

We report evidence of irregular unsteady flow of two-dimensional polymer solutions in the absence of inertia in cross-slot geometry using numerical simulations of Oldroyd-B model. By exploring the transition to time-dependent flow versus…

Soft Condensed Matter · Physics 2021-02-10 Dário Oliveira Canossi , Gilmar Mompean , Stefano Berti