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The dynamics of flexible polymers in dilute solutions is studied taking into account the hydrodynamic memory, as a consequence of fluid inertia. As distinct from the Rouse-Zimm (RZ) theory, the Boussinesq friction force acts on the monomers…

Soft Condensed Matter · Physics 2009-11-10 V. Lisy , J. Tothova , A. V. Zatovsky

We propose a theory of the dynamics of polymers in dilute solution, in which the popular Zimm and Rouse models are limiting cases of infinitely large and small draining parameter. The equation of motion for the polymer segments beads) is…

Soft Condensed Matter · Physics 2007-05-23 V. Lisy , J. Tothova , A. V. Zatovsky

The theory of the dynamics of polymers in solution is developed coming from the hydrodynamic theory of the Brownian motion (BM) and the Rouse-Zimm (RZ) model. It is shown that the time correlation functions describing the polymer motion…

Soft Condensed Matter · Physics 2007-05-23 V. Lisy , J. Tothova , B. Brutovsky , A. V Zatovsky

The Zimm equation for the position vector of a polymer segment is generalized taking into account the effect of viscous memory. The Oseen tensor is built on the basis of the nonstationary Navier-Stokes equation. After the preliminary…

Statistical Mechanics · Physics 2007-05-23 A. V. Zatovsky , V. Lisy

In this work we study the noise induced effects on the dynamics of short polymers crossing a potential barrier, in the presence of a metastable state. An improved version of the Rouse model for a flexible polymer has been adopted to mimic…

Statistical Mechanics · Physics 2009-11-13 N. Pizzolato , A. Fiasconaro , B. Spagnolo

The screening of hydrodynamic interactions (HI) essentially affects macroscopic properties of polymeric solutions. This screening depends not only on the polymer concentration but has a dynamic nature. In the present work, a bead-spring…

Soft Condensed Matter · Physics 2011-11-10 V. Lisy , J. Tothova , B. Brutovsky

The study of the noise induced effects on the dynamics of a chain molecule crossing a potential barrier, in the presence of a metastable state, is presented. A two-dimensional stochastic version of the Rouse model for a flexible polymer has…

Statistical Mechanics · Physics 2015-05-13 N. Pizzolato , A. Fiasconaro , B. Spagnolo

We theoretically investigate the effect of random fluctuations on the motion of elongated microswimmers near hydrodynamic transport barriers in externally-driven fluid flows. Focusing on the two-dimensional hyperbolic flow, we consider the…

Fluid Dynamics · Physics 2022-02-03 Simon A. Berman , Kevin A. Mitchell

The emergent fluctuating hydrodynamics of a viscoelastic fluid modeled by the multiparticle collision dynamics (MPC) approach is studied. The fluid is composed of flexible, Gaussian phantom polymers, which interact by local…

Soft Condensed Matter · Physics 2020-01-29 David Toneian , Gerhard Kahl , Gerhard Gompper , Roland G. Winkler

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 conformational and dynamical properties of active polymers in solution are determined by the nature of the activity, and the behavior of polymers with self-propelled, active Brownian particle-type monomers differs qualitatively from…

Soft Condensed Matter · Physics 2020-05-27 Aitor Martin-Gomez , Thomas Eisenstecken , Gerhard Gompper , Roland G. Winkler

The paper is concerned with a class of mathematical models for polymeric fluids, which involves the coupling of the Navier-Stokes equations for a viscous, incompressible, constant-density fluid with a parabolic-hyperbolic…

Analysis of PDEs · Mathematics 2016-01-08 Miroslav Bulíček , Piotr Gwiazda , Endre Süli , Agnieszka Świerczewska-Gwiazda

We consider the statics and dynamics of a flexible polymer confined between parallel plates both in the presence and absence of hydrodynamic interactions. The hydrodynamic interactions are described at the level of the fluctuating,…

Soft Condensed Matter · Physics 2012-11-01 Santtu T. T. Ollila , Colin Denniston , Mikko Karttunen , Tapio Ala-Nissila

We investigate the driven polymer translocation through a nanometer-scale pore in the presence and absence of hydrodynamics both in good and bad solvent. We present our results on tension propagating along the polymer segment on the…

Biological Physics · Physics 2016-09-21 Jaakko E. Moisio , Joonas Piili , Riku P. Linna

The tumbling dynamics of individual polymers in semidilute solution is studied by large-scale non-equilibrium mesoscale hydrodynamic simulations. We find that the tumbling time is equal to the non-equilibrium relaxation time of the polymer…

Soft Condensed Matter · Physics 2011-03-21 C. -C. Huang , G. Sutmann , G. Gompper , R. G. Winkler

An analytic, asymptotic approximation of the nonlinear steady-state equations for viscoelastic creeping flow, modeled by the Oldroyd-B equations with polymer stress diffusion, is derived. Near the extensional stagnation point the flow…

Fluid Dynamics · Physics 2016-01-14 Joseph A. Biello , Becca Thomases

We study the effects of hydrodynamic fluctuations in non-boost-invariant longitudinal expansion of matter formed in relativistic heavy ion collisions. We formulate the theory of thermal noise within second-order viscous hydrodynamics…

Nuclear Theory · Physics 2018-09-26 Chandrodoy Chattopadhyay , Subrata Pal

Recent theoretical works exploring the hydrodynamics of soft material in non-equilibrium situations are reviewed. We discuss the role of hydrodynamic interactions for three different systems: i) the deformation and orientation of…

Soft Condensed Matter · Physics 2012-03-08 Manoel Manghi , Xaver Schlagberger , Yong-Woon Kim , Roland R. Netz

Experiments on dewetting thin polymer films confirm the theoretical prediction that thermal noise can strongly influence characteristic time-scales of fluid flow and cause coarsening of typical length scales. Comparing the experiments with…

Soft Condensed Matter · Physics 2009-11-13 R. Fetzer , M. Rauscher , R. Seemann , K. Jacobs , K. Mecke

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
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