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We consider diffusion-controlled release of particles from $d$-dimensional radially-symmetric geometries. A quantity commonly used to characterise such diffusive processes is the proportion of particles remaining within the geometry over…

Biological Physics · Physics 2023-09-20 Luke P. Filippini , Matthew J. Simpson , Elliot J. Carr

In a homogeneous medium, the far-field generated by a localized source can be expanded in terms of multipoles; the coefficients are determined by the moments of the localized charge distribution. We show that this structure survives to some…

Analysis of PDEs · Mathematics 2017-08-28 Peter Bella , Arianna Giunti , Felix Otto

Expressions for local discrete variance decay (DVD) rates are directly derived from discrete tracer equations without any assumptions on discrete fluxes of the second moment. Spurious mixing (SM) associated with numerical implementations of…

Atmospheric and Oceanic Physics · Physics 2026-03-26 Tridib Banerjee , Sergey Danilov , Knut Klingbeil

We develop a mathematical model for adsorption based on averaging the flow around, and diffusion inside, adsorbent particles in a column. The model involves three coupled partial differential equations for the contaminant concentration both…

Other Condensed Matter · Physics 2023-11-20 Lucy C. Auton , Maria Aguareles , Abel Valverde , Timothy G. Myers , Marc Calvo-Schwarzwalder

The different variants of two-stage random sequential adsorption (RSA) models for packing of disks and discorectangles on a two-dimensional (2D) surface were investigated. In the SD model, the discorectangles were first deposited and then…

Statistical Mechanics · Physics 2023-08-16 Nikolai Lebovka , Mykhaylo Petryk , Mykhailo Tatochenko , Nikolai Vygornitskii

We present the diffusiophoresis of ellipsoidal particles induced by ionic solute gradients. Contrary to the common expectation that diffusiophoresis is shape independent, here we show experimentally that this assumption breaks down when the…

Soft Condensed Matter · Physics 2023-05-31 Viet Sang Doan , Dong-Ook Kim , Craig Snoeyink , Ying Sun , Sangwoo Shin

Inertial focusing in curved microfluidic ducts exploits the interaction of drag force from the Dean flow with the inertial lift force to separate particles or cells laterally across the cross-section width according to their size.…

Fluid Dynamics · Physics 2023-10-31 Brendan Harding , Yvonne M. Stokes , Rahil N. Valani

The behaviour of rod-coil diblock copolymers close to a surface is discussed by using extended scaling methods. The copolymers are immersed in selective solvent such that the rods are likely to aggregate to gain energy. The rods are assumed…

Soft Condensed Matter · Physics 2009-11-11 C. Nowak , T. A. Vilgis

Computer simulations are used to generate two-dimensional diffusion-limited deposits of dipoles. The structure of these deposits is analyzed by measuring some global quantities: the density of the deposit and the lateral correlation…

Statistical Mechanics · Physics 2009-11-11 M. Tasinkevych , J. M. Tavares , F. de los Santos

We deal with the problem of separation of time-scales and filamentation in a linear drift-diffusion problem posed on the whole space $\mathbb{R}^2$. The passive scalar considered is stirred by an incompressible flow with radial symmetry. We…

Analysis of PDEs · Mathematics 2019-07-10 Michele Coti Zelati , Michele Dolce

Mixing fronts form when fluids with different chemical compositions are brought into contact. They influence a large range of biogeochemical processes in hydrological systems. An important mechanism governing mixing rates in such fronts is…

Fluid Dynamics · Physics 2023-09-13 Gauthier Rousseau , Satoshi Izumoto , Tanguy Le Borgne , Joris Heyman

Particle tracking and displacement covariance matrix techniques are employed to investigate the phonon dispersion relations of two-dimensional colloidal glasses composed of soft, thermoresponsive microgel particles whose…

Soft Condensed Matter · Physics 2015-06-16 Tim Still , Carl P. Goodrich , Ke Chen , Peter J. Yunker , Samuel Schoenholz , Andrea J. Liu , A. G. Yodh

Spiral waves are a ubiquitous feature of the nonequilibrium dynamics of a great variety of excitable systems. In the limit of a large separation in timescale between fast excitation and slow recovery, one can reduce the spiral problem to…

patt-sol · Physics 2009-10-30 David A. Kessler , Herbert Levine

Lagrangian particle-tracking methods are particularly suitable to study solute transport in velocity fields displaying chaotic advection. They can accurately resolve stretching and folding processes, the increase in the solute-solvent…

Fluid Dynamics · Physics 2026-01-29 Carla Feistner , Mónica Basilio Hazas , Barbara Wohlmuth , Gabriele Chiogna

We study the interface dynamics of a binary particle mixture in a rotating cylinder numerically. By considering only the particle motion in axial direction, it is shown that the initial dynamics can be well described by a one-dimensional…

Soft Condensed Matter · Physics 2007-05-23 Christian M. Dury , Gerald H. Ristow

Particles suspended in fluid flow through a closed duct can focus to specific stable locations in the duct cross-section due to hydrodynamic forces arising from the inertia of the disturbed fluid. Such particle focusing is exploited in…

Fluid Dynamics · Physics 2023-01-25 Rahil Valani , Brendan Harding , Yvonne Stokes

This study introduces Polyp-DDPM, a diffusion-based method for generating realistic images of polyps conditioned on masks, aimed at enhancing the segmentation of gastrointestinal (GI) tract polyps. Our approach addresses the challenges of…

Computer Vision and Pattern Recognition · Computer Science 2025-01-07 Zolnamar Dorjsembe , Hsing-Kuo Pao , Furen Xiao

In various types of many-particle systems, bidispersity is frequently used to avoid spontaneous ordering in particle configuration. In this study, the relation between bidispersity and disorder degree of particle configuration is…

Using numerical simulations, we examine the structure and diffusion of a two-dimensional dusty plasma (2DDP) in the presence of a one-dimensional periodic substrate (1DPS) as a function of increasing substrate strength. Both the pair…

Plasma Physics · Physics 2018-12-19 Kang Wang , Wei Li , Dong Huang , C. Reichhardt , C. J. O. Reichhardt , M. S. Murillo , Yan Feng

We employ the first fully three-dimensional simulation to study the role of magnetic fields and ion-neutral friction in regulating gravitationally-driven fragmentation of molecular clouds. The cores in an initially subcritical cloud develop…

Astrophysics · Physics 2008-11-26 Takahiro Kudoh , Shantanu Basu , Youichi Ogata , Takashi Yabe
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