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Diffusive transport of particles or, more generally, small objects is a ubiquitous feature of physical and chemical reaction systems. In configurations containing confining walls or constrictions transport is controlled both by the…

统计力学 · 物理学 2009-01-22 P. Sekhar Burada , Peter Hanggi , Fabio Marchesoni , Gerhard Schmid , Peter Talkner

We study the transport of self-propelled noninteracting active Brownian particles (ABPs) and run-and-tumble particles (RTPs) in long tubes of varying widths. Using a moment expansion, we construct a generalized Fick-Jacobs framework for the…

软凝聚态物质 · 物理学 2026-04-16 Yongfeng Zhao

Diffusion of point-like non interacting particles in a two-dimensional (2D) channel of varying cross section is considered. The particles are biased by a constant force in the transverse direction. We apply our recurrence mapping procedure,…

统计力学 · 物理学 2015-05-28 Pavol Kalinay

We examine the dispersion of Brownian particles in a symmetric two dimensional channel, this classical problem has been widely studied in the literature using the so called Fick-Jacobs' approximation and its various improvements. Most…

统计力学 · 物理学 2019-05-29 M. Mangeat , T. Guérin , D. S. Dean

Diffusion of chemicals or tracer molecules through complex systems containing irregularly shaped channels is important in many applications. Most theoretical studies based on the famed Fick-Jacobs equation focus on the idealised case of…

统计力学 · 物理学 2014-12-24 Max Bauer , Aljaz Godec , Ralf Metzler

Flow of particles of two different species through a narrow channel with solely two discrete spatial positions is analyzed with respect to the species' capability to cooperate or compete for transport. In contrast to mean field approaches,…

软凝聚态物质 · 物理学 2017-12-13 Wolfgang Rudolf Bauer

We show that transport in the presence of entropic barriers exhibits peculiar characteristics which makes it distinctly different from that occurring through energy barriers. The constrained dynamics yields a scaling regime for the particle…

统计力学 · 物理学 2009-11-11 D. Reguera , G. Schmid , P. S. Burada , J. M. Rubí , P. Hänggi

In this Letter, we clarify the physical origin of effective transport in periodic and tilted periodic systems. When Brownian dynamics is examined on the scale of a single period, the particle displacement admits a natural separation into a…

统计力学 · 物理学 2026-01-27 Sang Yang , Zhixin Peng

We use the mesoscopic nonequilibrium thermodynamics theory to derive the general kinetic equation of a system in the presence of potential barriers. The result is applied to the description of the evolution of systems whose dynamics is…

统计力学 · 物理学 2016-08-16 D. Reguera , J. M. Rubí

We analyze the dynamics of a tracer particle embedded in a bath of hard spheres confined in a channel of varying section. By means of Brownian dynamics simulations we apply a constant force on the tracer particle and discuss the dependence…

软凝聚态物质 · 物理学 2018-11-14 Antonio M. Puertas , Paolo Malgaretti , Ignacio Pagonabarraga

Micro- and nano-swimmers moving in a fluid solvent confined by structures that produce entropic barriers are often described by overdamped active Brownian particle dynamics, where viscous effects are large and inertia plays no role.…

软凝聚态物质 · 物理学 2023-03-28 Narender Khatri , Raymond Kapral

In the last decade the Fick-Jacobs approximation has been exploited to capture the transport across constrictions. Here, we review the derivation of the Fick-Jacobs equation with particular emphasis on its linear response regime. We show…

软凝聚态物质 · 物理学 2023-01-24 P. Malgaretti , J. Harting

We study the transport process of interacting Brownian particles in a tube of varying cross section. To describe this process we introduce a modified Fick-Jacobs equation, considering particles that interact through a hard-core potential.…

统计力学 · 物理学 2015-06-22 Gonzalo Suárez , Miguel Hoyuelos , Héctor Mártin

In inertial microfluidics lift forces cause a particle to migrate across streamlines to specific positions in the cross section of a microchannel. We control the rotational motion of a particle and demonstrate that this allows to manipulate…

流体动力学 · 物理学 2014-02-11 Christopher Prohm , Nikolas Zöller , Holger Stark

We analyze the rectified motion of a Brownian particle in a confined environment. We show the emergence of strong cooperativity between the inherent rectification of the ratchet mechanism and the entropic bias of the fluctuations caused by…

介观与纳米尺度物理 · 物理学 2015-06-03 Paolo Malgaretti , Ignacio Pagonabarraga , J. Miguel Rubi

We study here the curious particle dynamics resulting from electro-osmotic flow around a microchannel junction corner whose dielectric walls are weakly polarizable. The hydrodynamic velocity field is obtained via superposition of a linear…

流体动力学 · 物理学 2015-06-19 Matan Zehavi , Gilad Yossifon

We study the transport of active Brownian particles (ABPs) in three-dimensional (3D) oscillatory geometries, which are spatially periodic. We establish a generalized Fick-Jacobs approach, which reduces a 3D system to an effective 1D system…

软凝聚态物质 · 物理学 2025-09-16 Rahul Sinha , Ankit Gupta , P. S. Burada

Transport and dispersion of active particles in structured environments such as corrugated channels and porous media are important for the understanding of both natural and engineered active systems. Owing to their continuous…

软凝聚态物质 · 物理学 2024-10-16 Zhiwei Peng

We study the diffusive dynamics of a Brownian particle in proximity of a flat surface under non-equilibrium conditions, which are created by an anisotropic thermal environment with different temperatures being active along distinct spatial…

统计力学 · 物理学 2017-09-13 Stefano Bo , Ralf Eichhorn

The transport of particles through channels holds immense significance in physics, chemistry, and biological sciences. For instance, the motion of solutes through biological channels is facilitated by specialized proteins that create…

统计力学 · 物理学 2024-07-22 Suvam Pal , Denis Boyer , Leonardo Dagdug , Arnab Pal