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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 describe a two-dimensional model for active particles whose self-propulsion speed is not fixed, but varies in time, and whose motion is subject to both translational and rotational diffusion. In the conventional treatment of active…

软凝聚态物质 · 物理学 2025-10-01 Tayeb Jamali

Transport of tracer particles through mesh-like environments such as biological hydrogels and polymer matrices is ubiquitous in nature. These tracers could be passive, such as colloids or active (self-propelled), such as synthetic…

软凝聚态物质 · 物理学 2022-12-08 Praveen Kumar , Rajarshi Chakrabarti

Diffusion is a key element of a large set of phenomena occurring on natural and social systems modeled in terms of complex weighted networks. Here, we introduce a general formalism that allows to easily write down mean-field equations for…

统计力学 · 物理学 2010-07-14 Andrea Baronchelli , Romualdo Pastor-Satorras

Single particle tracking of mRNA molecules and lipid granules in living cells shows that the time averaged mean squared displacement $\overline{\delta^2}$ of individual particles remains a random variable while indicating that the particle…

统计力学 · 物理学 2009-11-13 Y. He , S. Burov , R. Metzler , E. Barkai

We consider a one-dimensional Brownian motion with diffusion coefficient $D$ in the presence of $n$ partially absorbing traps with intensity $\beta$, separated by a distance $L$ and evenly spaced around the initial position of the particle.…

统计力学 · 物理学 2022-11-28 Gaia Pozzoli , Benjamin De Bruyne

We analyse mobile-immobile transport of particles that switch between the mobile and immobile phases with finite rates. Despite this seemingly simple assumption of Poissonian switching we unveil a rich transport dynamics including…

统计力学 · 物理学 2022-03-28 T. Doerries , A. V. Chechkin , R. Metzler

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,…

Topological phenomena typically govern the behavior of delocalized waves, giving rise to robust transport in electronic, photonic, and mechanical systems. Whether similar principles can directly control the motion of a localized particle,…

流体动力学 · 物理学 2026-03-13 Ethan Andersson , Valeri Frumkin

Motivated by various recent experimental findings, we propose a dynamical model of intermittently self-propelled particles: active particles that recurrently switch between two modes of motion, namely an active run-state and a turn state,…

软凝聚态物质 · 物理学 2025-10-30 Agniva Datta , Carsten Beta , Robert Großmann

Entanglement, one of the clearest manifestations of non-classical physics, holds significant promise for technological applications such as more secure communications and faster computations. In this paper we explore the use of…

量子物理 · 物理学 2024-02-14 Karl Pelka , Matteo Aquilina , André Xuereb

We study a diffusion approximation for a model of stochastic motion of a particle in one spatial dimension. The velocity of the particle is constant but the direction of the motion undergoes random changes with a Poisson clock. Moreover,…

泛函分析 · 数学 2022-04-21 Adam Bobrowski , Tomasz Komorowski

We study the motion of a solid particle immersed in a Newtonian fluid and confined between two parallel elastic membranes possessing shear and bending rigidity. The hydrodynamic mobility depends on the frequency of the particle motion due…

流体动力学 · 物理学 2016-08-03 Abdallah Daddi-Moussa-Ider , Achim Guckenberger , Stephan Gekle

We introduce a simple model of active transport for an ensemble of particles driven by an external shear flow. Active refers to the fact that the flow of the particles is modified by the distribution of particles itself. The model consists…

可精确求解与可积系统 · 物理学 2009-11-10 Cristobal Lopez

We study an interacting particle system whose dynamics depends on an interacting random environment. As the number of particles grows large, the transition rate of the particles slows down (perhaps because they share a common resource of…

概率论 · 数学 2009-02-16 Charles Bordenave , David McDonald , Alexandre Proutiere

We analyse diffusion dynamics on weakly-coupled networks (interconnected networks) by means of separation of time scales. Using an adiabatic approximation we reduced the system dynamics to a Markov chain with aggregated variables and…

混沌动力学 · 物理学 2018-12-14 Grzegorz Siudem , Janusz A. Hołyst

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…

软凝聚态物质 · 物理学 2013-05-29 John Herrmann , Michael Karweit , German Drazer

The hard disk model is a 2D Gibbsian process of particles interacting via pure hard core repulsion. At high particle density the model is believed to show orientational order, however, it is known not to exhibit positional order. Here we…

数学物理 · 物理学 2016-06-17 Thomas Richthammer

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

Transport of spherical Brownian particles of finite size possessing radii through narrow channels with varying cross-section area is considered. Applying the so-called Fick-Jacobs approximation, i.e. assuming fast equilibration in…

介观与纳米尺度物理 · 物理学 2015-05-19 Wolfgang Riefler , Gerhard Schmid , P Sekhar Burada , Peter Hanggi