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We construct a boundary integral representation for the low-Reynolds-number flow in a channel in the presence of freely-suspended particles (or droplets) of arbitrary size and shape. We demonstrate that lubrication theory holds away from…

Fluid Dynamics · Physics 2018-01-17 Itzhak Fouxon , Zhouyang Ge , Luca Brandt , Alexander Leshansky

A flowing pair of particles in inertial microfluidics gives important insights into understanding and controlling the collective dynamics of particles like cells or droplets in microfluidic devices. They are applied in medical cell analysis…

Fluid Dynamics · Physics 2018-05-25 Christian Schaaf , Felix Rühle , Holger Stark

We study a system composed of two parallel totally asymmetric simple exclusion processes with open boundaries, where the particles move in the two lanes in opposite directions and are allowed to jump to the other lane with rates inversely…

Statistical Mechanics · Physics 2007-08-23 Robert Juhasz

We numerically examine the driven transport of an overdamped self-propelled particle through a two-dimensional array of circular obstacles. A detailed analysis of transport quantifiers (mobility and diffusivity) has been performed for two…

Soft Condensed Matter · Physics 2023-10-16 Shubhadip Nayak , Sohom Das , Poulami Bag , Tanwi Debnath , Pulak K. Ghosh

We present a differential geometric framework for the motion of a non-Brownian particle in the presence of fixed obstacles in a quiescent fluid, in the deterministic Stokesian regime. While the Helmholtz Minimum Dissipation Theorem suggests…

Fluid Dynamics · Physics 2026-03-31 Sumedh R. Risbud

We investigate the effect of particle volume fraction on the efficiency of deterministic lateral displacement (DLD) devices. DLD is a popular passive sorting technique for microfluidic applications. Yet, it has been designed for treating…

Soft Condensed Matter · Physics 2015-10-27 Rohan Vernekar , Timm Krüger

We present a new general model for the prediction of the drag coefficient of non-spherical solid particles of regular and irregular shapes falling in gas or liquid valid for sub-critical particle Reynolds numbers (i.e. $Re < 3 \times…

Fluid Dynamics · Physics 2018-10-23 Gholamhossein Bagheri , Costanza Bonadonna

The diffusion properties of self-propelled particles which move at constant speed and, in addition, reverse their direction of motion repeatedly are investigated. The internal dynamics of particles triggering these reversal processes is…

Biological Physics · Physics 2016-05-30 Robert Großmann , Fernando Peruani , Markus Bär

Consider $N$ particles performing random walks on the $\epsilon$-grid $(\epsilon Z)^d$, $\epsilon>0$ with branching and density-dependent selection: When one of the particles branches, a particle is removed from the most populated site. The…

Probability · Mathematics 2026-01-30 Rami Atar , Leonid Mytnik , Gershon Wolansky

Cardiovascular diseases are a leading cause of death globally. Among them, some are linked to stenosis, which is an abnormal narrowing of blood vessels, as well as other factors. Smart drug delivery systems based on micro- and nanoparticles…

Fluid Dynamics · Physics 2025-11-18 R. Dapena-García , V. Pérez-Muñuzuri

We investigate the dynamics of a single tracer exploring a course of fixed obstacles in the vicinity of the percolation transition for particles confined to the infinite cluster. The mean-square displacement displays anomalous transport,…

Statistical Mechanics · Physics 2015-03-17 Markus Spanner , Felix Höfling , Gerd Schröder-Turk , Klaus Mecke , Thomas Franosch

Sorting of microswimmers based on their mobility properties is of utmost importance for various branches of science and engineering. In this paper, we proposed a novel sorting method, where the mixed chiral particles can be separated by…

Soft Condensed Matter · Physics 2016-12-28 Qun Chen , Bao-quan Ai

We examine directional locking effects in an assembly of disks driven through a square array of obstacles as the angle of drive rotates from zero to ninety degrees. For increasing disk densities, the system exhibits a series of different…

Soft Condensed Matter · Physics 2024-04-23 C. Reichhardt , C. J. O. Reichhardt

We prove the dynamical large deviations for a particle system in which particles may have different velocities. We assume that we have two infinite reservoirs of particles at the boundary: this is the so-called boundary driven process. The…

Probability · Mathematics 2010-06-02 Jonathan Farfan , Alexandre B. Simas , Fabio J. Valentim

Experiments have shown that self-propelled particles can slide along the surface of a circular obstacle without becoming trapped over long times. Using simulations and theory, we study the impact of boundary conditions on the diffusive…

Biological Physics · Physics 2019-01-30 Theresa Jakuszeit , Ottavio A. Croze , Samuel Bell

We study a generalization of the standard trapping problem of random walk theory in which particles move subdiffusively on a one-dimensional lattice. We consider the cases in which the lattice is filled with a one-sided and a two-sided…

Statistical Mechanics · Physics 2007-05-23 S. B. Yuste , L. Acedo

In conventional Deterministic Lateral Displacement (DLD), the migration behavior of a particle of specific size is determined by the critical diameter (Dc), which is predefined by the device's geometry. In contrast to the typical approach…

Fluid Dynamics · Physics 2024-01-17 Ali Kheirkhah Barzoki , Amir Shamloo

A wide variety of tilted washboard potentials based on acoustic waves, electric fields, optical patterns and so on have been applied to sort particles in microchannels. In this paper, we present a theoretical analysis of the particles…

Fluid Dynamics · Physics 2019-02-26 Wei Wang , Jia Zhou , Antoine Riaud

We report the experimental observation of dynamical behavior of flowing complex plasma past a spherical obstacle. The experiment has been carried out in a $\Pi$-shaped DC glow discharge experimental device using kaolin particles as the dust…

Plasma Physics · Physics 2018-10-02 S. Jaiswal , M. Schwabe , A. Sen , P. Bandyopadhyay

We consider the dynamics of a small spherical particle driven through an unbounded viscoelastic shear flow by an external force. We give analytical solutions to both the mobility problem (velocity of forced particle) and the resistance…

Fluid Dynamics · Physics 2025-12-23 J. Einarsson , B. Mehlig