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The diffusion motions of individual polymer aggregates in disordered porous media were visualized using the single particle tracking (SPT) method because the motions inside porous media play important roles in various fields of science and…

Soft Condensed Matter · Physics 2024-10-24 Yusaku Abe , Naoki Tomioka , Yu Matsuda

Single-file diffusion is a theoretically challenging many-body problem where the calculation of even the simplest observables, e.g. mean square displacement, for a tracer particle requires a heavy mathematical machinery. There is therefore…

Statistical Mechanics · Physics 2015-06-15 Ludvig Lizana , Michael A. Lomholt , Tobias Ambjörnsson

We study the diffusion of tagged hard core interacting particles under the influence of an external force field. Using the Jepsen line we map this many particle problem onto a single particle one. We obtain general equations for the…

Statistical Mechanics · Physics 2015-05-14 E. Barkai , R. Silbey

We study the single file diffusion problem on a one-dimensional lattice with a self-similar distribution of hopping rates. We find that the time dependence of the mean-square displacement of both a tagged particle and the center of mass of…

Statistical Mechanics · Physics 2015-06-19 G. P. Suárez , H. O. Mártin , J. L. Iguain

Single-file systems, in which particles diffuse in narrow channels while not overtaking each other, is a fundamental model for the tracer subdiffusion observed in confined geometries, such as in zeolites or carbon nanotubes. Twenty years…

Statistical Mechanics · Physics 2024-05-27 Aurélien Grabsch , Olivier Bénichou

The rectification of a single file of attracting particles subjected to a low frequency ac drive is proposed as a working mechanism for particle shuttling in an asymmetric narrow channel. Increasing the particle attraction results in the…

Statistical Mechanics · Physics 2011-03-17 Andrey Pototsky , Andrew J. Archer , Michael Bestehorn , Domnic Merkt , Sergey Savel'ev , Fabio Marchesoni

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…

Statistical Mechanics · Physics 2015-05-13 S. C. Lim , L. P. Teo

Single-file transport occurs in various scientific fields, including diffusion through nanopores, nanofluidic devices, and cellular processes. We here investigate the impact of polydispersity on particle currents for single-file Brownian…

Statistical Mechanics · Physics 2023-10-30 David Voráč , Philipp Maass , Artem Ryabov

Diffusion of colloidal particles in a complex environment such as polymer networks or biological cells is a topic of high complexity with significant biological and medical relevance. In such situations, the interaction between the…

Statistical Mechanics · Physics 2015-11-10 Andreas M. Menzel

Single-file diffusion (SFD) of an infinite one-dimensional chain of interacting particles has a long-time mean-square displacement (MSD) ~t^1/2, independent of the type of inter-particle repulsive interaction. This behavior is also observed…

Statistical Mechanics · Physics 2010-11-19 D. V. Tkachenko , V. R. Misko , F. M. Peeters

We show that a scaling approach successfully characterizes clustering and intermittency in space and time, in systems of noninteracting particles driven by fluctuating surfaces. We study both the steady state and the approach to it, for…

Soft Condensed Matter · Physics 2019-01-15 Tapas Singha , Mustansir Barma

The theory of diffusive acceleration of energetic particles at shock fronts assumes charged particles undergo spatial diffusion in a uniform magnetic field. If, however, the magnetic field is not uniform, but has a stochastic or braided…

Astrophysics · Physics 2007-05-23 J. G. Kirk , P. Duffy , Y. A. Gallant

Contacts between particles in dense, sheared suspensions are believed to underpin much of their rheology. Roughness and adhesion are known to constrain the relative motion of particles, and thus globally affect the shear response, but an…

Diffusive properties of interacting magnetic dipoles confined in a parabolic narrow channel and in the presence of a periodic modulated (corrugated) potential along the unconfined direction are studied using Brownian dynamics simulations.…

Soft Condensed Matter · Physics 2014-03-17 D. Lucena , J. E. Galván-Moya , W. P. Ferreira , F. M. Peeters

The path-integral representation of Smoluchowski equation is exploited to explore the stochastic dynamics of a tagged Brownian particle within an interacting system where hydrodynamic effects are neglected. In particular, this formalism is…

In the simplest model of single-file diffusion, $N$ point particles wander on a segment of the $x$ axis of length $L$, with hard core interactions, which prevent passing, and with overdamped Brownian dynamics, $\lambda\dot{x}=\eta(t)$,…

Statistical Mechanics · Physics 2019-10-23 Theodore W. Burkhardt

Anomalous diffusion has been widely observed by single particle tracking microscopy in complex systems such as biological cells. The resulting time series are usually evaluated in terms of time averages. Often anomalous diffusion is…

Statistical Mechanics · Physics 2017-09-13 Stas Burov , Jae-Hyung Jeon , Ralf Metzler , Eli Barkai

We investigate the diffusion limited aggregation of particles executing persistent random walks. The scaling properties of both random walks and large aggregates are presented. The aggregates exhibit a crossover between ballistic and…

Statistical Mechanics · Physics 2011-07-28 Isadora R. Nogueira , Sidiney G. Alves , Silvio C. Ferreira

Experimental results for passive tracer dispersion in the turbulent surface layer under stable conditions are presented. In this case, the dispersion of tracer particles is determined by the interplay of three mechanisms: relative…

Chaotic Dynamics · Physics 2011-07-29 Alex Skvortsov , Milan Jamriska , Timothy C. DuBois

This study uses a combination of stochastic optimization, statistical mechanical theory, and molecular simulation to test the extent to which the long-time dynamics of a single tracer particle can be enhanced by rationally modifying its…

Soft Condensed Matter · Physics 2011-11-24 James Carmer , Gaurav Goel , Mark J. Pond , Jeffrey R. Errington , Thomas M. Truskett