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The swimming of a two-sphere system oscillating in a viscous fluidis studied on the basis of simplified equations of motion which take account of both friction and inertial effects. In the model the friction follows from an Oseen…

Soft Condensed Matter · Physics 2022-08-17 B. U. Felderhof

It has been established that the entangled polymer dynamics can be reasonably described by single chain models such as tube and slip-link models. Although the entanglement effect is a result of the hard-core interaction between chains,…

Soft Condensed Matter · Physics 2015-06-11 Takashi Uneyama , Yuichi Masubuchi

In this article, we propose a macro-micro (two-scale) mathematical model for describing the macroscopic swelling of a rubber foam caused by the microscopic absorption of some liquid. In our modeling approach, we suppose that the material…

Analysis of PDEs · Mathematics 2020-10-08 T. Aiki , NH. Kröger , A. Muntean

Hydrodynamic interactions between two identical elastic dumbbells settling under gravity in a viscous fluid at low-Reynolds-number are investigated within the point-particle model. Evolution of a benchmark initial configuration is studied,…

Fluid Dynamics · Physics 2015-06-23 Marek Bukowicki , Marta Gruca , Maria L. Ekiel-Jezewska

A wide range of non-equilibrium phenomena in nature involve non-reciprocal interactions. To understand the novel behaviors that can emerge in such systems, finding tractable models is essential. With this goal, we introduce a non-reciprocal…

Statistical Mechanics · Physics 2024-11-04 Gabriel Weiderpass , Mayur Sharma , Savdeep Sethi

Swimming at small Reynolds number of a linear assembly of identical spheres immersed in a viscous fluid is studied on the basis of a set of equations of motion for the individual spheres. The motion of the spheres is caused by actuating…

Fluid Dynamics · Physics 2016-10-20 B. U. Felderhof

We discuss the locomotion of a three-sphere microswimmer in a viscoelastic structured fluid characterized by typical length and time scales. We derive a general expression to link the average swimming velocity to the sphere mobilities. In…

Soft Condensed Matter · Physics 2018-08-30 Kento Yasuda , Ryuichi Okamoto , Shigeyuki Komura

A nonlinear dynamical system model that approximates a microscopic Gibbs field model for the yielding of a viscoplastic material subjected to varying external stress recently reported in [1] is presented. The predictions of the model are in…

Soft Condensed Matter · Physics 2016-10-04 Sainudiin Raazesh , Moyers-Gonzalez Miguel , Burghelea Teodor

We analyze the normal phase of the attractive Hubbard model within dynamical mean-field-theory. We present results for the pair-density, the spin-susceptibility, the specific heat, the momentum distribution, and for the quasiparticle…

Strongly Correlated Electrons · Physics 2007-05-23 M. Keller , W. Metzner , U. Schollwoeck

Collective behaviour in suspensions of microswimmers is often dominated by the impact of long-ranged hydrodynamic interactions. These phenomena include active turbulence, where suspensions of pusher bacteria at sufficient densities exhibit…

Soft Condensed Matter · Physics 2019-08-27 Dora Bardfalvy , Henrik Nordanger , Cesare Nardini , Alexander Morozov , Joakim Stenhammar

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…

In this paper, we present a general numerical platform for designing accurate, efficient, and stable numerical algorithms for incompressible hydrodynamic models that obeys the thermodynamical laws. The obtained numerical schemes are…

Numerical Analysis · Mathematics 2021-03-04 Jia Zhao

Physics governing the locomotion of microorganisms and other microsystems is dominated by viscous damping. An effective swimming strategy involves the non-reciprocal and periodic deformations of the considered body. Here, we show that a…

A continuum model for a population of self-propelled particles interacting through nematic alignment is derived from an individual-based model. The methodology consists of introducing a hydrodynamic scaling of the corresponding mean-field…

Analysis of PDEs · Mathematics 2015-09-11 Pierre Degond , Angelika Manhart , Hui Yu

We explore the pressure versus temperature phase diagram of dimeric Janus nanoparticles using Molecular Dynamics simulations. The nanoparticle was modeled as a dumbbells particle, and have one monomer that interacts by a standard Lennard…

Soft Condensed Matter · Physics 2015-04-29 José Rafael Bordin , Leandro B. Krott , Marcia C. Barbosa

Janus colloids propelled by light, e.g., thermophoretic particles, offer promising prospects as artificial microswimmers. However, their swimming behavior and its dependence on fluid properties and fluid-colloid interactions remain poorly…

Soft Condensed Matter · Physics 2016-08-23 Dmitry A. Fedosov , Ankush Sengupta , Gerhard Gompper

Here we introduce a two-dimensional (2D) low-Reynolds swimmer and discuss the motion of the swimmer both in noise-free and stochastic regimes. Three spheres, linked by extensible arms, in a plane form the triangle body of micro-swimmer.…

Soft Condensed Matter · Physics 2014-12-11 Mehran Ebrahimian , Mohammad Reza Ejtehadi

We consider a mean field hierarchy of models for large systems of interacting ellipsoids suspended in an incompressible fluid. The models range from microscopic to macroscopic mean field models. The microscopic model is based on three…

Dynamical Systems · Mathematics 2015-11-25 Raul Borsche , Axel Klar , Anne Meurer , Oliver Tse

The design of artificial microswimmers has generated significant research interest in recent years, for promise in applications such as nanomotors and targeted drug-delivery. However, many current designs suffer from a common problem,…

Soft Condensed Matter · Physics 2020-02-28 Alexander Chamolly , Eric Lauga

In this paper, we consider mathematical modeling and numerical simulation of non-isothermal compressible multi-component diffuse-interface two-phase flows with realistic equations of state. A general model with general reference velocity is…

Numerical Analysis · Mathematics 2018-08-15 Jisheng Kou , Shuyu Sun