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We computationally study the kinematics of a simple model reciprocal swimmer (asymmetric dumbbell) as a function of the Reynolds number (Re) and investigate how the onset and gradual increase of inertia impacts the swimming behavior: a…

Soft Condensed Matter · Physics 2020-07-01 Thomas Dombrowski , Daphne Klotsa

Non-spherical particles transported by an anisotropic turbulent flow preferentially align with the mean shear and intermittently tumble when the local strain fluctuates. Such an intricate behaviour is here studied for inertialess,…

Soft Condensed Matter · Physics 2022-12-27 Lorenzo Campana , Mireille Bossy , Jeremie Bec

Rigid macromolecules or polymer chains with persistence length on the order of the contour length (or greater) have traditionally been modelled as rods or very stiff springs. The FENE-Fraenkel-spring dumbbell, which is finitely extensible…

Soft Condensed Matter · Physics 2021-07-16 I. Pincus , A. Rodger , J. Ravi Prakash

In this thesis, we develop multiscale models for particle simulations in population dynamics. These models are characterised by prescribing particle motion on two spatial scales: microscopic and macroscopic. At the microscopic level, each…

Computational Engineering, Finance, and Science · Computer Science 2016-09-14 Omar Richardson

We propose a two fluid theory to model a dilute polymer solution assuming that it consists of two phases, polymer and solvent, with two distinct macroscopic velocities. The solvent phase velocity is governed by the macroscopic Navier-Stokes…

Mathematical Physics · Physics 2014-04-08 Pierre Degond , Alexei Lozinski , Robert G. Owens

Novel kinetic models for both Dumbbell-like and rigid-rod like polymers are derived, based on the probability distribution function $f(t, x, n, \dot n)$ for a polymer molecule positioned at $x$ to be oriented along direction $n$ while…

Analysis of PDEs · Mathematics 2014-04-08 Pierre Degond , Hailiang Liu

Polymer dynamics in a turbulent flow is a problem spanning several orders of magnitude of length and time scales. A microscopic simulation covering all those scales from the polymer segment to the inertial scale of turbulence seems…

Statistical Mechanics · Physics 2008-09-30 Jonghoon Lee , Burkhard Duenweg , Joerg Schumacher

We carried out three-dimensional simulations, with about 1.4 million particles, of phase segregation in a low density binary fluid mixture, described mesoscopically by energy and momentum conserving Boltzmann-Vlasov equations. Using a…

patt-sol · Physics 2008-02-03 S. Bastea , J. L. Lebowitz

Using molecular dynamics we investigate the thermodynamics, dynamics and structure of 250 diatomic molecules interacting by a core-softened potential. This system exhibits thermodynamics, dynamics and structural anomalies: a maximum in…

In this paper, we first develop a mathematical model for long-range, hydrophobic attraction between amphiphilic particles. The non-pairwise interactions follow from the first variation of a hydrophobic attraction domain functional. The…

Numerical Analysis · Mathematics 2019-07-19 Szu-Pei P. Fu , Rolf J. Ryham , Andreas Klöckner , Matt Wala , Shidong Jiang , Yuan-Nan Young

We propose a numerical procedure to study closure approximations for FENE dumbbells in terms of chosen macroscopic state variables, enabling to test straightforwardly which macroscopic state variables should be included to build good…

Mathematical Physics · Physics 2010-06-01 Giovanni Samaey , Tony Lelievre , Vincent Legat

We consider the driven dynamics of a probe particle moving through an assembly of particles with competing long-range repulsive and short-range attractive interactions, which form crystal, stripe, labyrinth, and bubble states as the ratio…

Soft Condensed Matter · Physics 2025-01-10 C. Reichhardt , C. J. O. Reichhardt

The effects induced by long temporal correlations of the velocity gradients on the dynamics of a flexible polymer are investigated by means of theoretical and numerical analysis of the Hookean and FENE dumbbell models in a random renewing…

Chaotic Dynamics · Physics 2012-07-30 Stefano Musacchio , Dario Vincenzi

The flow behaviors of polymer melt composed of short chains with ten beads between parallel plates are simulated by using a hybrid method of molecular dynamics and computational fluid dynamics. Three problems are solved: creep motion under…

Soft Condensed Matter · Physics 2014-01-20 Shugo Yasuda , Ryoichi Yamamoto

We analyse the dynamics of a two dimensional system of interacting active dumbbells. We characterise the mean-square displacement, linear response function and deviation from the equilibrium fluctuation-dissipation theorem as a function of…

We develop a learning strategy to infer the constitutive relation for the stress of polymeric flows with memory. We make no assumptions regarding the functional form of the constitutive relations, except that they should be expressible in…

Computational Physics · Physics 2020-08-06 Naoki Seryo , Takeshi Sato , John J. Molina , Takashi Taniguchi

We report extensive numerical simulations of different models of 2D polymer rings with internal elasticity. We monitor the dynamical behavior of the rings as a function of the packing fraction, to address the effects of particle deformation…

Soft Condensed Matter · Physics 2021-06-07 Nicoletta Gnan , Fabrizio Camerin , Giovanni Del Monte , Andrea Ninarello , Emanuela Zaccarelli

We study the dynamics of a single polymer subject to thermal fluctuations in a linear shear flow. The polymer is modeled as a finitely extendable nonlinear elastic FENE dumbbell. Both orientation and elongation dynamics are investigated…

Chaotic Dynamics · Physics 2015-06-26 A. Celani , A. Puliafito , K. Turitsyn

Polymers in a turbulent flow are stretched out by the fluctuating velocity gradient; the stationary probability distribution function (p.d.f.) of extensions $R$ has a power-law tail with an exponent that increases with the Weissenberg…

Fluid Dynamics · Physics 2023-01-10 Jason R. Picardo , Emmanuel L. C. VI M. Plan , Dario Vincenzi

We successfully extend a multiscale simulation (MSS) method to nonisothermal well-entangled polymer melt flows between two coaxial cylinders. In the multiscale simulation, the macroscopic flow system is connected to a number of microscopic…

Soft Condensed Matter · Physics 2020-07-30 Yuji Hamada , Takeshi Sato , Takashi Taniguchi