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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…

Statistical Mechanics · Physics 2009-01-22 P. Sekhar Burada , Peter Hanggi , Fabio Marchesoni , Gerhard Schmid , Peter Talkner

We computationally study the effects of binding kinetics to the channel wall, leading to transient immobility, on the diffusive transport of particles within narrow channels, that exhibit single-file diffusion (SFD). We find that slow…

Statistical Mechanics · Physics 2018-08-22 Spencer G. Farrell , Andrew D. Rutenberg

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

We investigate the obstructed motion of tracer (test) particles in crowded environments by carrying simulations of two-dimensional Gaussian random walk in model fibrinogen monolayers of different orientational ordering. The fibrinogen…

Chemical Physics · Physics 2014-03-14 Michał Cieśla , Ewa Gudowska-Nowak , Francesc Sagués , Igor M. Sokolov

Many natural and industrial processes rely on constrained transport, such as proteins moving through cells, particles confined in nanocomposite materials or gels, individuals in highly dense collec- tives and vehicular traffic conditions.…

We analyze the diffusive transport of Brownian particles in narrow channels with periodically varying cross-section. The geometrical confinements lead to entropic barriers, the particle has to overcome in order to proceed in transport…

Statistical Mechanics · Physics 2012-01-06 P. S. Burada , G. Schmid , Y. Li , P. Hanggi

We theoretically study the transport properties of self-propelled particles on complex structures, such as motor proteins on filament networks. A general master equation formalism is developed to investigate the persistent motion of…

Soft Condensed Matter · Physics 2014-09-19 M. Reza Shaebani , Zeinab Sadjadi , Igor M. Sokolov , Heiko Rieger , Ludger Santen

In fluid transport across nanopores, there is a fundamental dissipation that arises from the connection between the pore and the macroscopic reservoirs. This entrance effect can hinder the whole transport in certain situations, for short…

Soft Condensed Matter · Physics 2015-01-08 Simon Gravelle , Laurent Joly , Christophe Ybert , Lydéric Bocquet

This paper presents experimental results about transport of dilute suspensions of nano-objects in silicon-glass micrometric and sub-micrometric channels. Two kinds of objects are used: solid, rigid latex beads and spherical capsule-shaped,…

Experimental measurements have reported ultra-fast and radius-dependent water transport in carbon nanotubes which are absent in boron nitride nanotubes. Despite considerable effort, the origin of this contrasting (and fascinating) behaviour…

Materials Science · Physics 2022-02-11 Fabian L Thiemann , Christoph Schran , Patrick Rowe , Erich A Müller , Angelos Michaelides

The one-dimensional confinement of quasiparticles in individual carbon nanotubes (CNTs) leads to extremely anisotropic electronic and optical properties. In a macroscopic ensemble of randomly oriented CNTs, this anisotropy disappears…

The transport equation of active motion is generalised to consider time-fractional dynamics for describing the anomalous diffusion of self-propelled particles observed in many different systems. In the present study, we consider an…

Statistical Mechanics · Physics 2023-10-27 Francisco J. Sevilla , Guillermo Chacón-Acosta , Trifce Sandev

We explore by molecular dynamic simulations the thermodynamical behavior of an anomalous fluid confined inside rigid and flexible nanopores. The fluid is modeled by a two length scale potential. In the bulk this system exhibits the density…

Soft Condensed Matter · Physics 2014-02-05 Jose Rafael Bordin , Leandro B. Krott , Marcia C. Barbosa

A ubiquitous observation in cell biology is that diffusion of macromolecules and organelles is anomalous, and a description simply based on the conventional diffusion equation with diffusion constants measured in dilute solution fails. This…

Soft Condensed Matter · Physics 2013-03-14 Felix Höfling , Thomas Franosch

The diffusive transport of biased Brownian particles in a two-dimensional symmetric channel is investigated numerically considering both the no-flow and the reflection boundary conditions at the channel boundaries. Here, the geometrical…

Soft Condensed Matter · Physics 2019-09-10 Narender Khatri , P. S. Burada

Understanding transport subject to molecular-scale confinement is key to advancing nanofluidics, yet classical hydrodynamic laws often fail at these scales. Here, we study a model system: transport of toluene as a solvent and small…

Soft Condensed Matter · Physics 2025-06-12 A. Baer , P. Malgaretti , K. Hoellring , J. Harting , Ana-Suncana Smith

Gas permeation through nanoscale pores is ubiquitous in nature and plays an important role in a plethora of technologies. Because the pore size is typically smaller than the mean free path of gas molecules, their flow is conventionally…

Mesoscale and Nanoscale Physics · Physics 2018-06-25 A. Keerthi , A. K. Geim , A. Janardanan , A. P. Rooney , A. Esfandiar , S. Hu , S. A. Dar , I. V. Grigorieva , S. J. Haigh , F. C. Wang , B. Radha

Anomalous heat transport in one-dimensional nanostructures, such as nanotubes and nanowires, is a widely debated problem in condensed matter and statistical physics, with contradicting pieces of evidence from experiments and simulations.…

Mesoscale and Nanoscale Physics · Physics 2021-07-14 Giuseppe Barbalinardo , Zekun Chen , Haikuan Dong , Zheyong Fan , Davide Donadio

Hypothesis:Diffusion in confinement is an important fundamental problem with significant implications for applications of supported liquid phases. However, resolving the spatially dependent diffusion coefficient, parallel and perpendicular…

Nanoscale molecular transport plays a crucial role in regulating mass diffusion and responsiveness in condensed matter systems. In soft porous crystals, in particular, adsorption of guest molecules induces host framework deformation and…

Soft Condensed Matter · Physics 2026-01-28 Kota Mitsumoto , Kyohei Takae
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