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The transport of Brownian particles in a slit geometry in the presence of an arbitrary two-dimensional periodic energy landscape and driven by an external force or convected by a flow field is investigated by means of macrotransport theory.…

Statistical Mechanics · Physics 2012-10-16 Jorge A. Bernate , German Drazer

We use a macromodel of a flow-driven deterministic lateral displacement (DLD) microfluidic system to investigate conditions leading to size-separation of suspended particles. This model system can be easily reconfigured to establish an…

Fluid Dynamics · Physics 2016-04-27 Siqi Du , German Drazer

We investigate the transport and separation of overdamped particles under the action of a uniform external force in a two-dimensional periodic energy landscape. Exact results are obtained for the deterministic transport in a square lattice…

Soft Condensed Matter · Physics 2013-05-29 John Herrmann , Michael Karweit , German Drazer

We present a microfluidic platform for the continuous separation of suspended particles based on their size and settling velocity. The separation method takes advantage of the flow field in the vicinity and inside a parallel array of…

We examined the Brownian motion of point defects in a two-dimensional hexagonal colloidal crystal, going beyond the conventional treatment that assumes constant diffusion coefficients. By extracting the spatially varying drift vector and…

Soft Condensed Matter · Physics 2026-05-18 Huang Xicheng , Liu Zefei , Chen Yong-Cong , Yang Guohong , Ao Ping

An electrokinetically-driven deterministic lateral displacement (e-DLD) device is proposed for the continuous, two-dimensional fractionation of suspensions in microfluidic platforms. The suspended species are driven through an array of…

Fluid Dynamics · Physics 2016-05-04 Srinivas Hanasoge , Raghavendra Devendra , Javier F. Diez , German Drazer

We study the motion of colloidal particles driven by a constant force over a periodic optical potential energy landscape. Firstly, the average particle velocity is found as a function of the driving velocity and the wavelength of the…

Soft Condensed Matter · Physics 2016-01-27 Michael P. N. Juniper , Arthur V. Straube , Dirk G. A. L. Aarts , Roel P. A. Dullens

The trajectories of colloidal particles driven through a periodic potential energy landscape can become kinetically locked in to directions dictated by the landscape's symmetries. When the landscape is realized with forces exerted by a…

Soft Condensed Matter · Physics 2015-05-14 Ke Xiao , David G. Grier

We present a simple stochastic quadrant model for calculating the transport and de- position of heavy particles in a fully developed turbulent boundary layer based on the statistics of wall-normal fluid velocity fluctuations obtained from a…

Fluid Dynamics · Physics 2016-08-02 C. Jin , I. Potts , M. W. Reeks

The dynamics of individual colloidal particles in random potential energy landscapes were investigated experimentally and by Monte Carlo simulations. The value of the potential at each point in the two-dimensional energy landscape follows a…

We combine experiments, theory and numerical simulation to investigate the dynamics of a binary suspension of paramagnetic colloidal particles dispersed in water and transported above a stripe patterned magnetic garnet film. The substrate…

Soft Condensed Matter · Physics 2016-07-06 Pietro Tierno , Arthur V. Straube

Systematic deflection of microparticles off of initial streamlines is a fundamental task in microfluidics, aiming at applications including sorting, accumulation, or capture of the transported particles. In a large class of setups,…

Fluid Dynamics · Physics 2026-04-01 Partha Kumar Das , Xuchen Liu , Sascha Hilgenfeldt

We study a coupled driven system in which two species of particles are advected by a fluctuating potential energy landscape. While the particles follow the potential gradient, each species affects the local shape of the landscape in…

Statistical Mechanics · Physics 2017-08-23 Shauri Chakraborty , Sakuntala Chatterjee , Mustansir Barma

In this paper, we describe the unification and extension of multiple kinematic theories on the advection of colloidal particles through periodic obstacle lattices of arbitrary geometry and infinitesimally small obstacle size. We focus…

Computational Physics · Physics 2020-03-25 Arnaldo Rodriguez-Gonzalez , Jason P. Gleghorn , Brian J. Kirby

Viscously damped objects driven through a periodically modulated potential energy landscape can become kinetically locked in to commensurate directions through the landscape, and thus can be deflected away from the driving direction. We…

Soft Condensed Matter · Physics 2007-05-23 Kosta Ladavac , Karen Kasza , David G. Grier

We use a theoretical model to explore how fluid dynamics, in particular, the pressure gradient and wall shear stress in a channel, affect the deposition of particles flowing in a microfluidic network. Experiments on transport of colloidal…

Soft Condensed Matter · Physics 2023-03-28 Gess Kelly , Navid Bizmark , Bulbul Chakraborty , Sujit S. Datta , Thomas G. Fai

We investigate the migration of particles of different geometrical shapes and sizes in a scaled-up model of a gravity-driven deterministic lateral displacement (g-DLD) device. Specifically, particles move through a square array of…

Fluid Dynamics · Physics 2016-05-04 Mingliang Jiang , Kostyantyn Budzan , German Drazer

Using Brownian dynamics (BD) simulations and an analytical approach we investigate the shear-induced, nonequilibrium dynamics of dense colloidal suspensions confined to a narrow slit-pore. Focusing on situations where the colloids arrange…

Soft Condensed Matter · Physics 2017-01-04 Sascha Gerloff , Sabine H. L. Klapp

Natural phenomena frequently involve a very large number of interacting molecules moving in confined regions of space. Cellular transport by motor proteins is an example of such collective behavior. We derive a deterministic compartmental…

Subcellular Processes · Quantitative Biology 2017-11-01 Yoram Zarai , Michael Margaliot , Anatoly B. Kolomeisky

A simple, discrete, parametric model is proposed to describe conditional (correlated) deposition of particles on a surface and formation of a connecting (percolating) cluster. The surface changes spontaneously its properties (phase…

Statistical Mechanics · Physics 2007-05-23 Ana Proykova , Boris Karadjov
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