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Related papers: Tracer diffusion beyond Gaussian behavior: explici…

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The diffusion of particles in complex media has gained significant interest due to its dual relevance: probing the viscoelastic properties of materials via microrheology and assessing the extent of particle displacement over time. In this…

Soft Condensed Matter · Physics 2025-06-24 Fabian A. Garcia Daza , Alvaro Rodriguez-Rivas , Fernando Govantes , Alejandro Cuetos

We introduce the concept of Randomly Modulated Gaussian Processes as a unifying framework for modeling, analyzing and classifying anomalous diffusion models in heterogeneous media. This formulation incorporates correlations in the…

Biological Physics · Physics 2026-03-16 Yann Lanoiselée , Denis S. Grebenkov , Gianni Pagnini

We uncover an emergent universality in the large-scale, long-time statistics of a one-dimensional hard-rod gas evolving under two fundamentally different classes of microscopic dynamics: stochastic (diffusive) and unitary (ballistic).…

Statistical Mechanics · Physics 2026-04-28 Soumyabrata Saha , Jitendra Kethepalli , Benjamin Guiselin , Jacopo De Nardis , Tridib Sadhu

In this work, we present a novel analytical model for tracer dispersion in laminar flow through porous media. Based on a straightforward physical argument, it describes the generic behavior of dispersion over a wide range of Peclet numbers…

Fluid Dynamics · Physics 2012-01-24 Boudewijn Ph. van Milligen , Paul D. Bons

We study a two-dimensional diffusive motion of a tracer particle in restricted, crowded anisotropic geometries. The underlying medium is the same as in our previous work [J. Chem. Phys. 140, 044706 (2014)] in which standard, gaussian…

Chemical Physics · Physics 2020-03-17 Michał Cieśla , Bartłomiej Dybiec , Ewa Gudowska-Nowak , Igor Sokolov

We use molecular dynamics simulations to investigate the tracer diffusion in a sea of polymers with specific binding zones for the tracer. These binding zones act as traps. Our simulations show that the tracer can undergo normal yet…

Soft Condensed Matter · Physics 2016-09-22 Nairhita Samanta , Rajarshi Chakrabarti

We study diffusion of (fluorescently) tagged hard-core interacting particles of finite size in a finite one-dimensional system. We find an exact analytical expression for the tagged particle probability density using a coordinate…

Soft Condensed Matter · Physics 2009-11-13 Ludvig Lizana , Tobias Ambjörnsson

Single-file diffusion (SFD) is a key mechanism underlying transport phenomena in confined physical and biological systems. In a typical SFD process, microscopic particles are restricted to moving in a narrow channel where they cannot pass…

Soft Condensed Matter · Physics 2025-05-28 A. Akintunde , P. Bayati , H. Row , S. A. Mallory

We study the diffusion of a tracer particle, which moves in continuum space between a lattice of excluded volume, immobile non-inert obstacles. In particular, we analyse how the strength of the tracer-obstacle interactions and the volume…

Soft Condensed Matter · Physics 2014-12-24 Surya K. Ghosh , Andrey G. Cherstvy , Ralf Metzler

Fickian yet non-Gaussian diffusion is a ubiquitous phenomenon observed in various biological and soft matter systems. This anomalous dynamics is typically attributed to heterogeneous environments inducing spatiotemporal variations in the…

Statistical Mechanics · Physics 2025-03-20 Seongyu Park , Xavier Durang , Ralf Metzler , Jae-Hyung Jeon

We study the diffusion of a tracer particle driven out-of-equilibrium by an external force and traveling in a dense environment of arbitrary density. The system evolves on a discrete lattice and its stochastic dynamics is described by a…

Statistical Mechanics · Physics 2018-05-23 Pierre Illien , Olivier Bénichou , Gleb Oshanin , Alessandro Sarracino , Raphaël Voituriez

Diffuse emission is observed in galaxies in many tracers across the electromagnetic spectrum, including tracers of star formation, such as H$\alpha$ and ultraviolet (UV), and tracers of gas mass, such as carbon monoxide (CO) transition…

Dilute granular flows are routinely described by collisional kinetic theory, but dense flows require a fundamentally different approach, due to long-lasting, many-body contacts. In the case of silo drainage, many continuum models have been…

Statistical Mechanics · Physics 2007-05-23 Martin Z. Bazant

Subdiffusive motion of tracer particles in complex crowded environments, such as biological cells, has been shown to be widepsread. This deviation from brownian motion is usually characterized by a sublinear time dependence of the mean…

Statistical Mechanics · Physics 2009-11-13 S. Condamin , V. Tejedor , R. Voituriez , O. Benichou , J. Klafter

We study the dynamics of micron-sized particles on a layer of motile cells. This cell carpet acts as an active bath that propels passive tracer particles via direct mechanical contact. The resulting nonequilibrium transport shows a…

Soft Condensed Matter · Physics 2024-02-27 Robert Großmann , Lara S. Bort , Ted Moldenhawer , Setareh Sharifi Panah , Ralf Metzler , Carsten Beta

We discuss the manner in which the dynamics of tracer polystyrene chains varies with the concentration of matrix polystyrene chains dissolved in toluene. Using fluorescence correlation spectroscopy and theory, it is shown that the…

Soft Condensed Matter · Physics 2010-12-01 Ute Zettl , Matthias Ballauff , Ludger Harnau

The single-file problem of N particles in one spatial dimension is analyzed, when each particle has a randomly distributed diffusion constant D sampled in a density $\rho(D)$. The averaged one-particle distributions of the edge particles…

Statistical Mechanics · Physics 2009-10-31 Claude Aslangul

Long DNA molecules can be mapped by cutting them with restriction enzymes inside a narrow channel. Once cut, the individual fragments thus produced move away from each other due to diffusion and entropic effects. We investigate how long it…

Soft Condensed Matter · Physics 2025-06-11 Hanyang. Wang , Gary W Slater

We formulate a scaling theory for the long-time diffusive motion in a space occluded by a high density of moving obstacles in dimensions 1, 2 and 3. Our tracers diffuse anomalously over many decades in time, before reaching a diffusive…

Statistical Mechanics · Physics 2024-10-22 H. Bendekgey , G. Huber , D. Yllanes

We numerically study structure and dynamics of single files composed of active particles, as well as, active-passive binary mixtures. Our simulation results show that when the persistent length of self-propelled particles is much larger…

Soft Condensed Matter · Physics 2023-03-15 Tanwi Debnath , Shubhadip Nayak , Poulami Bag , Debajyoti Debnath , Pulak Kumar Ghosh