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Related papers: A Reduced Model for a Phoretic Swimmer

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Suspended colloidal particles interacting chemically with a solute are able to self-propel by autophoretic motion when they are asymmetrically patterned (Janus colloids). Here we demonstrate that the chemical anisotropy is not a necessary…

Soft Condensed Matter · Physics 2013-06-28 Sebastien Michelin , Eric Lauga , Denis Bartolo

A mesoscopic hydrodynamic model to simulate synthetic self-propelled Janus particles which is thermophoretically or diffusiophoretically driven is here developed. We first propose a model for a passive colloidal sphere which reproduces the…

Soft Condensed Matter · Physics 2014-03-05 Mingcheng Yang , Adam Wysocki , Marisol Ripoll

A two-dimensional (2D) shock-rest-frame model for particle simulations is developed. Then full kinetic dynamics of a perpendicular collisionless shock is examined by means of a 2D full particle simulation. We found that in the 2D simulation…

Astrophysics · Physics 2009-11-13 Takayuki Umeda , Masahiro Yamao , Ryo Yamazaki

We construct a discrete model of fluid particles according to the GENERIC formalism. The model has the form of Smoothed Particle Hydrodynamics including correct thermal fluctuations. A slight variation of the model reproduces the…

Statistical Mechanics · Physics 2009-10-31 Pep Español , Hans Christian Öttinger

Swimming droplets are a class of active particles whose motility changes as a function of time due to shrinkage and self-avoidance of their trail. Here we combine experiments and theory to show that our non-Markovian droplet (NMD) model,…

Soft Condensed Matter · Physics 2024-05-17 Wenjun Chen , Adrien Izzet , Ruben Zakine , Eric Clément , Eric Vanden-Eijnden , Jasna Brujic

We complete the kinetic theory of two-dimensional (2D) point vortices initiated in previous works. We use a simpler and more physical formalism. We consider a system of 2D point vortices submitted to a small external stochastic perturbation…

Statistical Mechanics · Physics 2022-11-29 Pierre-Henri Chavanis

Understanding the complex viscoelastic properties of polymeric liquids remains a challenge in materials science and soft matter physics. Here, we present a simple and computationally efficient criterion for the topological constraints in…

Soft Condensed Matter · Physics 2007-05-23 P. Nikunen , I. Vattulainen , M. Karttunen

Current models of phoretic transport rely on molecular forces creating a "diffuse" particle-fluid interface. We investigate theoretically an alternative mechanism, in which a diffuse interface emerges solely due to a non-vanishing…

Soft Condensed Matter · Physics 2021-01-01 Alvaro Domínguez , M. N. Popescu , C. M. Rohwer , S. Dietrich

We derived here in a systematic way, and for a large class of scaling regimes, asymptotic models for the propagation of internal waves at the interface between two layers of immiscible fluids of different densities, under the rigid lid…

Analysis of PDEs · Mathematics 2007-12-27 Jerry L. Bona , David Lannes , Jean-Claude Saut

The asymptotic derivation of a new family of one-dimensional, weakly nonlinear and weakly dispersive equations that model the flow of an ideal fluid in an elastic vessel is presented. Dissipative effects due to the viscous nature of the…

Fluid Dynamics · Physics 2020-02-20 Dimitrios Mitsotakis , Denys Dutykh , Li Qian

Propagation of solitary waves in the presence of autocatalysis, diffusion, and symmetry breaking (differential) advection, is being studied. The focus is on drifting (propagating with advection) pulses that form via a convective instability…

Pattern Formation and Solitons · Physics 2010-02-08 Arik Yochelis , Moshe Sheintuch

Particle methods are less computationally efficient than grid based numerical solution of the Navier Stokes equation. However, they have important advantages including rigorous mass conservation, momentum conservation and isotropy. In…

Fluid Dynamics · Physics 2024-06-26 Paul Meakin , Zhijie Xu

Inspired by dense contractile tissues, where cells are subject to periodic deformation, we formulate and study a generic hydrodynamic theory of pulsating active liquids. Combining mechanical and phenomenological arguments, we postulate that…

Soft Condensed Matter · Physics 2025-09-25 Tirthankar Banerjee , Thibault Desaleux , Jonas Ranft , Étienne Fodor

A mode-coupling theory for the slow single-particle dynamics in fluids adsorbed in disordered porous media is derived, which complements previous work on the collective dynamics [V. Krakoviack, Phys. Rev. E 75, 031503 (2007)]. Its…

Disordered Systems and Neural Networks · Physics 2009-06-10 V. Krakoviack

Electrohydrodynamics is crucial in many nanofluidic and biotechnological applications. In such small scales, the complexity due to the coupling of fluid dynamics with the dynamics of ions is increased by the relevance of thermal…

Fluid Dynamics · Physics 2022-01-19 Alberto Gubbiotti , Mauro Chinappi , Carlo Massimo Casciola

The paper presents a two-phase hydrodynamic model for the numerical simulation of collective motion in a thin layer of active colloids containing spherical microswimmers. The model accounts for three fundamental mechanisms governing the…

Soft Condensed Matter · Physics 2025-12-10 A. Kiverin , S. Luguev , I. Yakovenko

Many equations that model fluid behaviour are derived from systems that encompass multiple physical forces. When the equations are written in non dimensional form appropriate to the physics of the situation, the resulting partial…

Analysis of PDEs · Mathematics 2020-11-18 Susan Friedlander , Anthony Suen

Propulsion at microscopic scales is often achieved through propagating traveling waves along hair-like organelles called flagella. Taylor's two-dimensional swimming sheet model is frequently used to provide insight into problems of…

Fluid Dynamics · Physics 2014-06-05 Thomas D. Montenegro-Johnson , Eric Lauga

In addition to self-propulsion by phoretic mechanisms that arises from an asymmetric distribution of reactive species around a catalytic motor, spherical particles with a uniform distribution of catalytic activity may also propel themselves…

Statistical Mechanics · Physics 2014-01-08 Pierre de Buyl , Alexander S. Mikhailov , Raymond Kapral

An approximation to the added mass matrix of an assembly of spheres is constructed on the basis of potential flow theory for situations where one sphere is much larger than the others. In the approximation the flow potential near a small…

Fluid Dynamics · Physics 2017-03-08 B. U. Felderhof
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