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Previous work shows that a net directed motion arises from a system of individual particles undergoing run-and-tumble dynamics in the presence of an array of asymmetric barriers. Here, we show that when the individual particle is replaced…

Soft Condensed Matter · Physics 2013-03-01 Mew-Bing Wan , YongSeok Jho

A diffusion's induced transport is defined for a linear model of a Fokker-Plank equation under periodic boundary conditions in one-dimensional geometry. The flow is generated by a diffusion and a periodic deriving force induced by a…

Mathematical Physics · Physics 2008-09-04 Gershon Wolansky

We formulate a finite-particle method of mass transport that accounts for general mixed boundary conditions. The particle method couples a geometrically-exact treatment of advection; Wasserstein gradient-flow dynamics; and a…

Numerical Analysis · Mathematics 2025-03-05 Anna Pandolfi , Ignacio Romero , Michael Ortiz

We analyze the dynamics of Brownian ratchets in a confined environment. The motion of the particles is described by a Fick-Jakobs kinetic equation in which the presence of boundaries is modeled by means of an entropic potential. The cases…

Soft Condensed Matter · Physics 2013-05-23 Paolo Malgaretti , Ignacio Pagonabarraga , J. Miguel Rubi

A unified view on macroscopic thermodynamics and quantum transport is presented. Thermodynamic processes with an exchange of energy between two systems necessarily involve the flow of other balanceable quantities. These flows are first…

Mesoscale and Nanoscale Physics · Physics 2012-10-02 C. Strunk

Transport of a Brownian particle moving along the axis of a three-dimensional asymmetric periodic tube is investigated in the presence of asymmetric unbiased forces. The reduction of the coordinates may involve not only the appearance of…

Statistical Mechanics · Physics 2009-11-13 Bao-quan Ai , Liang-gang Liu

The detailed Josephson-Anderson relation equates instantaneous work by pressure drop over any streamwise segment of a general channel and wall-normal flux of spanwise vorticity spatially integrated over that section. This relation was first…

Fluid Dynamics · Physics 2024-07-02 Samvit Kumar , Gregory Eyink

When two binary solutions are separated by a permeable barrier, the individual species typically diffuse and mix, dissipating their chemical potential gradients. However, we use model lattice simulations to show that single-file…

Statistical Mechanics · Physics 2009-10-31 Tom Chou , Detlef Lohse

Particles traveling at high velocities through microfluidic channels migrate from their starting streamlines due to inertial lift forces. Theories predict different scaling laws for these forces and there is little experimental evidence by…

Fluid Dynamics · Physics 2017-07-06 Kaitlyn Hood , Soroush Kahkeshani , Dino Di Carlo , Marcus Roper

We study the crossing time statistic of diffusing point particles between the two ends of expanding and narrowing two-dimensional conical channels under a transverse external gravitational field. The theoretical expression for the mean…

Statistical Mechanics · Physics 2023-01-11 Ivan Pompa-Garcia , Rodrigo Castilla , Ralf Metzler , Leonardo Dagdug

The dynamics of entrainment of finite-size heavy particles in a turbulent open channel flow over a smooth surface are analyzed. Three types of simulations, namely with freely moving, rotation-constrained, and spanwise-motion-constrained…

Fluid Dynamics · Physics 2026-01-28 Tatia Bzikadze , Markus Weyrauch , Markus Uhlmann

Hydrodynamic interactions between fluid-dispersed particles are ubiquitous in soft matter and biological systems and they give rise to intriguing collective phenomena. While it was reported that these interactions can facilitate…

Soft Condensed Matter · Physics 2022-08-29 Eric Cereceda-López , Dominik Lips , Antonio Ortiz-Ambriz , Artem Ryabov , Philipp Maass , Pietro Tierno

Rectification and diffusion of non-interacting self-propelled particles is numerically investigated in a two-dimensional corrugated channel. From numerical simulations, we obtain the average velocity and the effective diffusion coefficient.…

Statistical Mechanics · Physics 2014-07-29 Bao-quan Ai , Qiu-yan Chen , Ya-feng He , Feng-guo Li , Wei-rong Zhong

We numerically investigate the diffusive behavior of active Brownian particles in a two-dimensional confined channel filled with soft obstacles, whose softness is controlled by a parameter $K$. Here, active particles are subjected to…

Soft Condensed Matter · Physics 2024-10-22 Ankit Gupta , P. S. Burada

We study the conservative and deterministic dynamics of two nonlinearly interacting particles evolving in a one-dimensional spatially periodic washboard potential. A weak tilt of the washboard potential is applied biasing one direction for…

Statistical Mechanics · Physics 2011-02-07 D. Hennig , A. D. Burbanks , A. H. Osbaldestin

We numerically investigate the transport of a suspended overdamped Brownian particle which is driven through a two-dimensional rectangular array of circular obstacles with finite radius. Two limiting cases are considered in detail, namely,…

Chemical Physics · Physics 2012-01-06 P. K. Ghosh , P. Hanggi , F. Marchesoni , S. Martens , F. Nori , L. Schimansky-Geier , G. Schmid

We present the first direct numerical simulations of particle-laden turbulent flow in concentric annuli to investigate the effects of transverse curvature over a range of Stokes numbers. The results demonstrate that transverse curvature…

Fluid Dynamics · Physics 2026-05-27 Taiyang Wang , Chi Zhang , Yaomin Zhao

We investigate the influence of an external magnetic field (torque) on the motion of Brownian particles confined in a channel geometry with varying width. Furthermore, the particles are driven by random fluctuations modeled by the…

Biological Physics · Physics 2012-05-10 Paul K. Radtke , Lutz Schimansky-Geier

Entropy-driven directed translocation of a flexible polymer through a cone-shaped channel is studied theoretically and using computer simulation. For a given length of the channel, the effective force of entropic origin acting on the…

Soft Condensed Matter · Physics 2015-06-12 Narges Nikoofard , Hamidreza Khalilian , Hossein Fazli

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