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Taylor diffusion (or dispersion) refers to a phenomenon discovered experimentally by Taylor in the 1950s where a solute dropped into a pipe with a background shear flow experiences diffusion at a rate proportional to $1/\nu$, which is much…

Analysis of PDEs · Mathematics 2019-09-04 Margaret Beck , Osman Chaudhary , C. Eugene Wayne

Properties of active colloids of circle swimmers are reviewed. As an particular example of active magnetic colloids the magnetotactic bacteria under the action of a rotating magnetic field is considered. The relation for a diffusion…

Soft Condensed Matter · Physics 2015-06-17 Reinis Taukulis , Andrejs Cebers

Particles moving along curved trajectories will diffuse if the curvature fluctuates sufficiently in either magnitude or orientation. We consider particles moving at a constant speed with either a fixed or with a Gaussian distributed…

Soft Condensed Matter · Physics 2009-11-10 Andrew D. Rutenberg , Andrew J. Richardson , Claire J. Montgomery

Practically all flows are turbulent in nature and contain some kind of irregularly-shaped particles, e.g. dirt, pollen, or life forms such as bacteria or insects. The effect of the particles on such flows and vice-versa are highly…

Unlike crystalline solids, liquids lack long-range order, resulting in diffusive shear fluctuations rather than propagating waves. Simulations predict that liquids exhibit a $k$-gap in wave-vector space, where solid-like transverse waves…

Soft Condensed Matter · Physics 2025-03-13 Cunyuan Jiang , Zihan Zheng , Yangrui Chen , Matteo Baggioli , Jie Zhang

We use a stochastic approach to show how Taylor dispersion is affected by kinetic processes of adsorption and desorption onto surfaces. A general theory is developed, from which we derive explicitly the dispersion coefficients of canonical…

Statistical Mechanics · Physics 2013-01-01 Maximilien Levesque , Olivier Bénichou , Raphaël Voituriez , Benjamin Rotenberg

The recent interest in using microorganisms for biofuels is motivation enough to study bioconvection and cell dispersion in tubes subject to imposed flow. To optimize light and nutrient uptake, many microorganisms swim in directions biased…

Soft Condensed Matter · Physics 2010-10-05 O. A. Croze , E. E. Ashraf , M. A. Bees

The transport of matter by turbulent flows plays an important role, in particular in a geophysical context. Here, we study the relative movement of groups of two (pairs) and four (tetrahedra) Lagrangian particles using direct numerical…

Fluid Dynamics · Physics 2024-10-17 Sebastian Gallon , Fabio Feraco , Raffaele Marino , Alain Pumir

An artificial microswimmer drifts in response to spatio-temporal modulations of an activating suspension medium. We consider two competing mechanisms capable of influencing its tactic response: angular fluctuations, which help it explore…

Soft Condensed Matter · Physics 2017-02-15 Alexander Geiseler , Peter Hänggi , Fabio Marchesoni

We study the propagation of electromagnetic waves in a chiral fluid, where the molecules are described by a simplified version of the Kuhn coupled oscillator model. The eigenmodes of Maxwell's equations are circularly polarized waves. The…

Physics Education · Physics 2008-03-05 T. Garel

Taylor dispersion, the gravity-induced enhancement of translational diffusion during the steady settling of a Brownian particle, has so far been analyzed only for torque-free bodies (H. Brenner, J. Colloid Interface Sci., 71(2): 189-208,…

Statistical Mechanics · Physics 2025-08-26 Zhongqiang Xiong , Ryohei Seto , Masao Doi

We consider pressure-driven flows in wide microchannels, and discuss how a transverse shear, generated by misaligned superhydrophobic walls, impacts cross-sectional spreading of Brownian particles. We show that such a transverse shear can…

Fluid Dynamics · Physics 2017-09-27 Tatiana V. Nizkaya , Evgeny S. Asmolov , Olga I. Vinogradova

The motion of active polymers in a porous medium is shown to depend critically on flexibilty, activity and degree of polymerization. For given Peclet number, we observe a transition from localisation to diffusion as the stiffness of the…

Soft Condensed Matter · Physics 2019-07-17 Zahra Mokhtari , Annette Zippelius

Microorganisms, such as E.Coli, are known to display upstream behavior and respond rheotactically to shear flows. In particular, E.Coli suspensions have been shown to display strong sensitivity to spatial constrictions, leading to an…

Soft Condensed Matter · Physics 2024-01-24 Armin Maleki , Malihe Ghodrat , Ignacio Pagonabarraga

Transport at small scales is classically understood within an equilibrium framework, where dispersion theory successfully describes shear-enhanced diffusion for passive particles in the continuum limit. However, as most bacteria can move on…

Fluid Dynamics · Physics 2026-05-29 Mingyang Guan , Bowen Ling , Enhao Liu , Guoqian Chen , Zhan Wang

We study the dynamics of an athermal inertial active particle moving in a shear-thinning medium in $d=1$. The viscosity of the medium is modeled using a Coulomb-tanh function, while the activity is represented by an asymmetric dichotomous…

Statistical Mechanics · Physics 2025-05-16 Sayantan Mondal , Prasenjit Das

Interactions between microorganisms and their complex flowing environments are essential in many biological systems. We develop a model for microswimmer dynamics in non-Newtonian Poiseuille flows. We predict that swimmers in…

Soft Condensed Matter · Physics 2016-07-14 Arnold J. T. M. Mathijssen , Tyler N. Shendruk , Julia M. Yeomans , Amin Doostmohammadi

Janus phoretic particles exploit chemical energy stored in their environment to self-propel. These active particles modify and respond to their hydrodynamic and chemical environments, thus giving them a sensibility to external flows and…

Soft Condensed Matter · Physics 2024-05-15 Prathmesh Vinze , Sebastien Michelin

Diffusion of particles in complex fluids and gels is difficult to describe and often lies beyond the scope of the classical Stokes-Einstein relation. One of the main lines of research over the past few decades has sought to relate…

Soft Condensed Matter · Physics 2025-12-25 Władysław Sokołowski , Huma Jamil , Karol Makuch

This study investigates the spatial distribution of inertial particles in turbulent Taylor-Couette flow. Direct numerical simulations are performed using a one-way coupled Eulerian-Lagrangian approach, with a fixed inner wall Reynolds…

Fluid Dynamics · Physics 2024-02-28 Hao Jiang , Zhi-ming Lu , Bo-fu Wang , Xiao-hui Meng , Jie Shen , Kai Leong Chong
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