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The coupling between advection and diffusion in position space can often lead to enhanced mass transport compared to diffusion without flow. An important framework used to characterize the long-time diffusive transport in position space is…

流体动力学 · 物理学 2024-10-10 Zhiwei Peng

Particles transported in fluid flows, such as cells, polymers, or nanorods, are rarely spherical. In this study, we numerically and theoretically investigate the dispersion of an initially localized patch of passive elongated Brownian…

流体动力学 · 物理学 2021-09-15 Ajay Harishankar Kumar , Stuart J. Thomson , Thomas R. Powers , Daniel M. Harris

The transport of self-propelled particles such as bacteria and phoretic swimmers through crowded heterogeneous environments is relevant to many natural and engineering processes, from biofilm formation and contamination processes to…

流体动力学 · 物理学 2019-04-10 Roberto Alonso-Matilla , Brato Chakrabarti , David Saintillan

We report new measurements of single particle dispersion in turbulent two-dimensional (2D) flows. Laboratory experiments in electromagnetically driven and Faraday wave driven turbulence reveal a transition from weakly dispersing…

流体动力学 · 物理学 2015-06-18 H. Xia , N. Francois , H. Punzmann , M. Shats

One of the cornerstones of turbulent dispersion is the celebrated Taylor formula. This formula expresses the rate of transport (i.e. the eddy diffusivity) of a tracer as a time integral of the fluid velocity auto-correlation function…

流体动力学 · 物理学 2018-10-16 S. Boi , A. Mazzino , P. Muratore-Ginanneschi , S. Olivieri

Diffusion of a solute along a channel is enhanced by hydrodynamic flow, a phenomenon known as Taylor dispersion. In microfluidic applications, the compliance of the channel boundaries modifies the hydrodynamic flow and thus solutal…

软凝聚态物质 · 物理学 2026-04-08 Aditya Jha , Masoodah Gunny , Joshua D Mcgraw , Yacine Amarouchene , Thomas Salez

We study the diffusivity of a tagged particle in a binary mixture of Brownian particles with non-reciprocal interactions. Numerical simulations reveal that, for a broad class of interaction potentials, non-reciprocity can significantly…

The combined impact of axial stretching and cross-stream diffusion on the downstream transport of solute is termed Taylor dispersion. The dispersion of active suspensions is qualitatively distinct: viscous and external torques can establish…

软凝聚态物质 · 物理学 2025-05-27 Hakan Osman Caldag , Martin Alan Bees

The diffusion of micro- and nanoswimmers in a fluid, confined within irregular structures that impose entropic barriers, is often modeled using overdamped active Brownian dynamics, where viscous effects are paramount and inertia is…

软凝聚态物质 · 物理学 2026-04-03 Narender Khatri , Vikas Sharma , Anton F. Burnet , Suneet Kumar Awasthi

We consider a simple model of the evolution of the concentration of a tracer, subject to a background shear flow by a fluid with viscosity $\nu \ll 1$ in an infinite channel. Taylor observed in the 1950's that, in such a setting, the tracer…

偏微分方程分析 · 数学 2015-01-26 Margaret Beck , Osman Chaudhary , C. Eugene Wayne

We describe how to solve the problem of Taylor dispersion in the presence of absorbing boundaries using an exact stochastic formulation. In addition to providing a clear stochastic picture of Taylor dispersion, our method leads to…

统计力学 · 物理学 2013-11-25 Rudro R. Biswas , Pabitra N. Sen

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…

统计力学 · 物理学 2013-01-01 Maximilien Levesque , Olivier Bénichou , Raphaël Voituriez , Benjamin Rotenberg

Last year in [Phys. Rev. E 102, 042121 (2020)] the authors studied an overdamped dynamics of nonequilibrium noise driven Brownian particle dwelling in a spatially periodic potential and discovered a novel class of Brownian, yet non-Gaussian…

统计力学 · 物理学 2021-12-22 Karol Białas , Jakub Spiechowicz

The transport of heavy particles in a medium that consists of fluid and solid phases such as stream gravel beds, cracked soils and wetlands is affected by processes such as attachment-detachment, gravity and drag, and by mixing processes…

流体动力学 · 物理学 2018-01-23 Tomer Duman , Ran Holtzman , Uri Shavit

We present a study of diffusion enhancement of underdamped Brownian particles in 1D symmetric space-periodic potential due to external symmetric time-periodic forcing with zero mean. We show that the diffusivity can be enhanced by many…

统计力学 · 物理学 2018-01-24 Ivan G. Marchenko , Igor I. Marchenko , Andrey V. Zhiglo

Mass dispersion in oscillatory flows is intimately linked to various environmental and biological processes, offering a distinct contrast to dispersion in steady flows due to the periodic expansion and contraction of particle patches. In…

流体动力学 · 物理学 2025-10-13 Bohan Wang , Weiquan Jiang , Li Zeng , Zi Wu , Ping Wang

Diffusion coefficient usually decreases when friction increases. We analyze the opposite behavior in the paradigmatic system consisting of an inertial Brownian particle moving in a symmetric spatially periodic potential and driven by an…

统计力学 · 物理学 2025-03-31 I. G. Marchenko , I. I. Marchenko , V. Aksenova , J. Łuczka , J. Spiechowicz

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…

偏微分方程分析 · 数学 2019-09-04 Margaret Beck , Osman Chaudhary , C. Eugene Wayne

We report on novel Brownian, yet non-Gaussian diffusion, in which the mean square displacement of the particle grows linearly with time, the probability density for the particle spreading is Gaussian-like, however, the probability density…

统计力学 · 物理学 2020-10-28 K. Białas , J. Łuczka , P. Hänggi , J. Spiechowicz

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…

流体动力学 · 物理学 2024-02-28 Hao Jiang , Zhi-ming Lu , Bo-fu Wang , Xiao-hui Meng , Jie Shen , Kai Leong Chong
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