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One key issue in the probability density function (PDF) approach for disperse two-phase turbulent flows is to close the diffusion term in the phase space. This study aimed to derive a kinetic equation for particle dispersion in turbulent…

Statistical Mechanics · Physics 2020-07-15 De-yu Zhong , Guang-qian Wang , Tie-jian Li , Ming-xi Zhang , You Xia

The transport of an infinitely thin, hard rod in a random, dense array of point obstacles is investigated by molecular dynamics simulations. Our model mimics the sterically hindered dynamics in dense needle liquids. The center-of-mass…

Statistical Mechanics · Physics 2008-09-22 Felix Höfling , Erwin Frey , Thomas Franosch

We analyze the transport properties of a neutral tracer in a carrier fluid flowing through percolation-like porous media with spatial correlations. We model convection in the mass transport process using the velocity field obtained by the…

Disordered Systems and Neural Networks · Physics 2007-05-23 Hernan A. Makse , Jose S. Andrade , H. Eugene Stanley

A model for anomalous transport of tracer particles diffusing in complex media in two dimensions is proposed. The model takes into account the characteristics of persistent motion that active bath transfer to the tracer, thus the model…

Statistical Mechanics · Physics 2025-07-24 Francisco J. Sevilla , Adriano Valdés-Gómez , Alexis Torres-Carbajal

The dynamics within active fluids, driven by internal activity of the self-propelled particles, is a subject of intense study in non-equilibrium physics. These systems have been explored using simulations, where the motion of a passive…

Biological Physics · Physics 2018-04-03 Saroj Kumar Nandi , Nir S. Gov

We report a Lattice-Boltzmann scheme that accounts for adsorption and desorption in the calculation of mesoscale dynamical properties of tracers in media of arbitrary complexity. Lattice Boltzmann simulations made it possible to solve…

To understand how spatiotemporal chaos may modify material transport, we use direct numerical simulations of the three-dimensional Boussinesq equations and of an advection-diffusion equation to study the transport of a passive tracer by the…

Pattern Formation and Solitons · Physics 2009-11-10 K. -H. Chiam , M. C. Cross , H. S. Greenside , P. F. Fischer

We use direct numerical simulations to compute turbulent transport coefficients for passive scalars in turbulent rotating flows. Effective diffusion coefficients in the directions parallel and perpendicular to the rotations axis are…

Fluid Dynamics · Physics 2013-02-13 P. Rodriguez Imazio , P. D. Mininni

We study the effect of a single driven tracer particle in a bath of other particles performing the random average process on an infinite line using a stochastic hydrodynamics approach. We consider arbitrary fixed as well as random initial…

Statistical Mechanics · Physics 2016-11-03 A. Kundu , J. Cividini

A Generalized Langevin Equation with exponential memory is proposed for the dynamics of a massive intruder in a dense granular fluid. The model reproduces numerical correlation and response functions, violating the equilibrium Fluctuation…

Statistical Mechanics · Physics 2015-05-19 Alessandro Sarracino , Dario Villamaina , Giacomo Gradenigo , Andrea Puglisi

The diffusion behavior of an active Brownian particle (ABP) in polymer solutions is studied using Langevin dynamics simulations. We find that the long time diffusion coefficient $D$ can show a non-monotonic dependence on the particle size…

Soft Condensed Matter · Physics 2018-01-11 Yunfei Du , Zhonghuai Hou

The escalating sophistication of cyberattacks has encouraged the integration of machine learning techniques in intrusion detection systems, but the rise of adversarial examples presents a significant challenge. These crafted perturbations…

Cryptography and Security · Computer Science 2024-06-26 Mohamed Amine Merzouk , Erwan Beurier , Reda Yaich , Nora Boulahia-Cuppens , Frédéric Cuppens

We numerically investigated the Brownian motion of active Janus particles in a linear array of planar counter-rotating convection rolls at high P\'eclet numbers. Similarly to passive particles, active microswimmers exhibit advection…

Statistical Mechanics · Physics 2025-08-14 Pulak Kumar Ghosh , Fabio Marchesoni , Yunyun Li , Franco Nori

We derive the time-evolution equation that describes the Brownian motion of labeled individual tracer particles in a simple model atomic liquid (i.e., a system of $N$ particles whose motion is governed by Newton's second law, and…

Mass transport of impurities immersed in a confined quasi-two-dimensional moderately dense granular gas of inelastic hard spheres is studied. The effect of the confinement on granular particles is modeled through a collisional model (the…

Soft Condensed Matter · Physics 2024-12-31 Rubén Gómez González , Vicente Garzó , Ricardo Brito , Rodrigo Soto

The transport of self-propelled particles such as bacteria and phoretic swimmers through crowded heterogeneous environments is relevant to many natural and engineering processes, from biofilm formation and contamination processes to…

Fluid Dynamics · Physics 2019-04-10 Roberto Alonso-Matilla , Brato Chakrabarti , David Saintillan

Langevin simulations provide an effective way to study collective effects of Brownian particles immersed in a two-dimensional periodic potential. In this paper, we concentrate essentially on the behaviour of the tracer (DTr) and bulk (DB)…

Statistical Mechanics · Physics 2015-05-13 S. Zayzoune , M. Mazroui , Y. Boughaleb , A. Kara

This work presents a general thermodynamic approach to describe particle diffusion on a lattice, a model used to study transport processes in solids and on surfaces. By treating each lattice site as an open thermodynamic system, the effects…

Statistical Mechanics · Physics 2026-05-05 Matías A. Di Muro , Miguel Hoyuelos

We study the behavior of shallow water waves propagating over bathymetry that varies periodically in one direction and is constant in the other. Plane waves traveling along the constant direction are known to evolve into solitary waves, due…

Analysis of PDEs · Mathematics 2025-05-21 David I. Ketcheson , Giovanni Russo

We study the effect of spatially-varying potential and diffusivity on the dispersion of a tracer particle in single-file diffusion. Non-interacting particles in such a system exhibit normal diffusion at late times, which is characterised by…

Statistical Mechanics · Physics 2025-09-15 Benjamin Sorkin , David S. Dean