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The propagation of light in a scattering medium is described as the motion of a special kind of a Brownian particle on which the fluctuating forces act only perpendicular to its velocity. This enforces strictly and dynamically the…

无序系统与神经网络 · 物理学 2009-10-31 S. Anantha Ramakrishna , N. Kumar

We study the interface dynamics of a binary particle mixture in a rotating cylinder numerically. By considering only the particle motion in axial direction, it is shown that the initial dynamics can be well described by a one-dimensional…

软凝聚态物质 · 物理学 2007-05-23 Christian M. Dury , Gerald H. Ristow

In this work we present a general derivation of the non-Fickian behavior for the self-diffusion of identically interacting particle systems with excluded mutual passage. We show that the conditional probability distribution of finding a…

统计力学 · 物理学 2009-11-07 Markus Kollmann

Single-file diffusion is a ubiquitous physical process exploited by living and synthetic systems to exchange molecules with their environment. It is paramount quantifying the escape time needed for single files of particles to exit from…

软凝聚态物质 · 物理学 2016-07-25 Emanuele Locatelli , Matteo Pierno , Fulvio Baldovin , Enzo Orlandini , Yizhou Tan , Stefano Pagliara

The diffusion in two dimensions of non-interacting active particles that follow an arbitrary motility pattern is considered for analysis. Accordingly, the transport equation is generalized to take into account an arbitrary distribution of…

统计力学 · 物理学 2020-09-01 Francisco J. Sevilla

This article deals with transport properties of one dimensional Brownian diffusion under the influence of a correlated quenched random force, distributed as a two-level Poisson process. We find in particular that large time scaling laws of…

凝聚态物理 · 物理学 2009-10-28 Cecile MONTHUS

Single-file diffusion behaves as normal diffusion at small time and as anomalous subdiffusion at large time. These properties can be described by fractional Brownian motion with variable Hurst exponent or multifractional Brownian motion. We…

统计力学 · 物理学 2015-05-13 S. C. Lim , L. P. Teo

The dynamics of hard-core interacting Brownian particles in an external potential field is studied in one dimension. Using the Jepsen line we find a very general and simple formula relating the motion of the tagged center particle, with the…

统计力学 · 物理学 2010-04-22 E. Barkai , R. Silbey

Diffusive properties of a monodisperse system of interacting particles confined to a \textit{quasi}-one-dimensional (Q1D) channel are studied using molecular dynamics (MD) simulations. We calculate numerically the mean-squared displacement…

软凝聚态物质 · 物理学 2013-01-10 D. Lucena , D. V. Tkachenko , K. Nelissen , V. R. Misko , W. P. Ferreira , G. A. Farias , F. M. Peeters

Density-dependent diffusion is a widespread phenomenon in nature. We have examined the density-dependent diffusion behavior of some biological processes such as tumor growth and invasion [23]. Here, we extend our previous work by developing…

统计力学 · 物理学 2022-02-14 Ahmed M. Fouad , Marwa M. Fouad

We study propagation dynamics of a particle phase in a single-file pore connected to a reservoir of particles (bulk liquid phase). We show that the total mass $M(t)$ of particles entering the pore up to time $t$ grows as $M(t) = 2…

软凝聚态物质 · 物理学 2007-05-23 A. M. Lacasta , J. M. Sancho , F. Sagues , G. Oshanin

Diffusion in colloidal suspensions can be very slow due to the cage effect, which confines each particle within a short radius on one hand, and involves large-scale cooperative motions on the other. In search of insight into this…

软凝聚态物质 · 物理学 2017-03-08 Takeshi Ooshida , Susumu Goto , Takeshi Matsumoto , Michio Otsuki

A granular gas composed of inelastic hard spheres or disks in the homogeneous cooling state is considered. Some of the particles are labeled and their number density exhibits a time-independent linear profile along a given direction. As a…

统计力学 · 物理学 2015-06-18 J. Javier Brey , M. J. Ruiz-Montero

We consider a two type (red and blue or $R$ and $B$) particle population that evolves on the $d$-dimensional lattice according to some reaction-diffusion process $R+B\to 2R$ and starts with a single red particle and a density $\rho$ of blue…

概率论 · 数学 2009-01-07 A. Gaudilliere , F. R. Nardi

We carry out the asymptotic analysis of repulsive ensembles of N particles which are discrete analogues of continuous 1d log-gases or beta-ensembles of random matrix theory. The ensembles that we study have several groups of particles which…

概率论 · 数学 2026-03-03 Gaëtan Borot , Vadim Gorin , Alice Guionnet

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…

软凝聚态物质 · 物理学 2025-05-28 A. Akintunde , P. Bayati , H. Row , S. A. Mallory

We study the motion of a particle sliding under the action of an external field on a stochastically fluctuating one-dimensional Edwards-Wilkinson surface. Numerical simulations using the single-step model shows that the mean-square…

统计力学 · 物理学 2009-11-10 Manoj Gopalakrishnan

We study the Brownian motion of a classical particle in one-dimensional inhomogeneous environments where the transition probabilities follow quasiperiodic or aperiodic distributions. Exploiting an exact correspondence with the…

统计力学 · 物理学 2009-10-31 F. Igloi , L. Turban , H. Rieger

We present experimental observations of the velocity and spatial distribution of inertial particles dispersed in the turbulent downward flow through a vertical channel at $Re_{\tau} = 235$ and $335$. The working fluid is air laden with…

流体动力学 · 物理学 2019-04-16 Kee Onn Fong , Omid Amili , Filippo Coletti

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…

软凝聚态物质 · 物理学 2022-06-09 Alessandro Taloni , Ophir Flomenbom , Ramon Castaneda-Priego , Fabio Marchesoni