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In this work, we investigate the large-scale transport properties of a passive scalar advected by a turbulent fluid, modelled as a superposition of divergence-free vector fields, each weighted by an independent symmetric…

Mathematical Physics · Physics 2026-02-25 Paolo Cifani , Franco Flandoli , Lorenzo Marino

Single-file transport refers to the motion of particles in a narrow channel, such that they cannot bypass each other. This constraint leads to strong correlations between the particles, described by correlation profiles, which measure the…

Statistical Mechanics · Physics 2024-02-09 Aurélien Grabsch , Théotim Berlioz , Pierre Rizkallah , Pierre Illien , Olivier Bénichou

We study anomalous transport arising in disordered one-dimensional spin chains, specifically focusing on the subdiffusive transport typically found in a phase preceding the many-body localization transition. Different types of transport can…

Disordered Systems and Neural Networks · Physics 2020-03-09 Maximilian Schulz , Scott R. Taylor , Antonello Scardicchio , Marko Žnidarič

Crowded environments modify the diffusion of macromolecules, generally slowing their movement and inducing transient anomalous subdiffusion. The presence of obstacles also modifies the kinetics and equilibrium behavior of tracers. While…

The standard setup for single-file diffusion is diffusing particles in one dimension which cannot overtake each other, where the dynamics of a tracer (tagged) particle is of main interest. In this article we generalise this system and…

Statistical Mechanics · Physics 2015-06-18 Robin Forsling , Lloyd Sanders , Tobias Ambjörnsson , Ludvig Lizana

Steady state properties of a driven tracer moving in a narrow two dimensional (2D) channel of quiescent medium are studied. The tracer drives the system out of equilibrium, perturbs the density and pressure fields, and gives the bath…

Statistical Mechanics · Physics 2017-01-11 J. Cividini , D. Mukamel , H. A. Posch

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

Based on a coarse-grained model, we carry out molecular dynamics simulations to analyze the diffusion of a small tracer particle inside a cylindrical channel whose inner wall is covered with randomly grafted short polymeric chains. We…

Soft Condensed Matter · Physics 2013-06-20 Rajarshi Chakrabarti , Stefan Kesselheim , Peter Kosovan , Christian Holm

Passive particle transport through narrow channels is well studied, while for active particle systems, it is not well understood. Here, we demonstrate the active control of the transport through a nanopore via mean-field analysis and…

Soft Condensed Matter · Physics 2021-07-21 Cheng Lian , Wei Zhong

The transport phenomenon of active particles confined in 3D(three dimensional) corrugated confined channel with Gaussian noises is investigated. Large noise intensity perpendicular to the symmetry axis is good for the diffusion and current…

Soft Condensed Matter · Physics 2022-09-01 Bing Wang

The term single file (SF) dynamics refers to the motion of an assembly of particles through a channel with cross-section comparable to the particles' diameter. Single file diffusion (SFD) is then the diffusion of a tagged particle in a…

Soft Condensed Matter · Physics 2022-06-09 Alessandro Taloni , Ophir Flomenbom , Ramon Castaneda-Priego , Fabio Marchesoni

We study how the complex interplay between roughness, inertia, and diffusion controls the tracer transport in rough channels. We first simulate the flow and tracer transport over wide ranges of channel roughness, Reynolds number ($Re$), and…

Fluid Dynamics · Physics 2021-02-03 Seonkyoo Yoon , Peter K. Kang

The dynamics of a tracer particle in a glassy matrix of obstacles displays slow complex transport as the free volume approaches a critical value and the void space falls apart. We investigate the emerging subdiffusive motion of the test…

Statistical Mechanics · Physics 2011-01-20 Thomas Franosch , Markus Spanner , Teresa Bauer , Gerd E. Schröder-Turk , Felix Höfling

Gravitational settling affects particle transport in turbulent flows in two ways; explicitly, by introducing a finite settling velocity, and implicitly, by modifying how the particles interact with the flow field. For wall-bounded flows,…

Fluid Dynamics · Physics 2025-12-04 Y. Zhang , D. H. Richter , A. D. Bragg

We study the diffusive behavior of biased Brownian particles in a two dimensional confined geometry filled with the freezing obstacles. The transport properties of these particles are investigated for various values of the obstacles density…

Biological Physics · Physics 2020-07-16 Narender Khatri , P. S. Burada

Transport properties of particles in confining geometries show very specific characteristics as lateral drift, oscillatory movement between lateral walls or the deformation of flexible fibers. These dynamics result from viscous friction…

Fluid Dynamics · Physics 2020-04-03 M. Bechert , J. Cappello , M. Daïeff , F. Gallaire , A. Lindner , C. Duprat

We consider a one-dimensional fermionic lattice system with long-ranged power-law decaying hopping with exponent $\alpha$. The system is further subjected to dephasing noise in the bulk. We investigate two variants of the problem: (i) an…

Statistical Mechanics · Physics 2024-06-04 Abhinav Dhawan , Katha Ganguly , Manas Kulkarni , Bijay Kumar Agarwalla

We consider anomalous non-Markovian transport of Brownian particles in viscoelastic fluid-like media with very large but finite macroscopic viscosity under the influence of a constant force field F. The viscoelastic properties of the medium…

Statistical Mechanics · Physics 2014-09-24 Igor Goychuk

We study the transport properties of passive inertial particles in a $2-d$ incompressible flows. Here the particle dynamics is represented by the $4-d$ dissipative embedding map of $2-d$ area-preserving standard map which models the…

Chaotic Dynamics · Physics 2009-07-23 N. Nirmal Thyagu , Neelima Gupte

We study the diffusion on an annealed disordered lattice with a local dynamical reorganization of bonds. We show that the typical rearrangement time depends on the renewal rate like $t_r \sim \tau^{\alpha}$ with $\alpha \neq 1$. This…

Statistical Mechanics · Physics 2007-05-23 Radim Vocka