Driven transport of soft Brownian particles through pore-like structures: Effective size method

  title={Driven transport of soft Brownian particles through pore-like structures: Effective size method},
  author={Alexander P. Antonov and Artem Ryabov and Philipp Maass},
  journal={The Journal of Chemical Physics},
Driven transport of soft Brownian particles through pore-like structures: Effective size method Alexander P. Antonov,1, a) Artem Ryabov,2, b) and Philipp Maass1, c) 1)Universität Osnabrück, Fachbereich Physik, Barbarastraße 7, D-49076 Osnabrück, Germany 2)Charles University, Faculty of Mathematics and Physics, Department of Macromolecular Physics, V Holešovičkách 2, CZ-18000 Praha 8, Czech Republic 

Figures from this paper


Single-file diffusion of externally driven particles.
  • A. Ryabov, P. Chvosta
  • Physics, Medicine
  • Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2011
The exact solution of the N-particle Smoluchowski diffusion equation is given and the nonequilibrium energetics of two interacting particles under the time-periodic driving is investigated. Expand
Single-file transport in periodic potentials: The Brownian asymmetric simple exclusion process.
General properties of the rich collective dynamics in the Brownian asymmetric simple exclusion process (BASEP) are derived and the impossibility of current reversals in systems driven by a constant drag and by traveling waves are proved. Expand
Brownian Asymmetric Simple Exclusion Process.
The results show that the particle size can be of crucial importance for nonequilibrium phase transitions in driven systems and predict five different phases of nonequ equilibrium steady states to occur. Expand
Diffusion in confined geometries.
This work reports on recent advances in the theoretical and numerical investigation of stochastic transport occurring either in microsized geometries of varying cross sections or in narrow channels wherein the diffusing particles are hindered from passing each other (single-file diffusion). Expand
Event-driven Langevin simulations of hard spheres.
  • A. Scala
  • Medicine, Physics
  • Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2012
This work introduces and test two algorithms for the simulation of the Langevin dynamics of hard spheres, starting first from a splitting of the Fokker-Plank operator associated with the Langevine dynamics, and then from an approximation of the two-body Green's function. Expand
Single-file diffusion in a box.
An exact analytical expression for the tagged particle probability density function is found using a Bethe ansatz, from which the mean square displacement is calculated and the existence of three regimes of drastically different behavior is shown. Expand
Collective Motion of Repulsive Brownian Particles in Single-File Diffusion with and without Overtaking
Calculations of the two-particle displacement correlation in a system of repulsive Brownian particles confined in a (quasi-)one-dimensional channel describe nested space–time structure of cages, whereby smaller cages are enclosed in larger cages with longer lifetimes. Expand
Pore-Size Dependence of Quasi-One-Dimensional Single-File Diffusion Mobility†
We use kinetic Monte Carlo simulation to study the pore-size dependence of the anomalous single-file diffusion mobility of a hard disc fluid confined within a narrow channel. The channel has aExpand
The statistical mechanics of inhomogeneous hard rod mixtures
The exact statistical mechanical solution to the problem of an equilibrium inhomogeneous classical one‐dimensional mixture of hard rods is presented. From the solution, thermodynamic properties,Expand
Generalized elastic model yields a fractional Langevin equation description.
The fractional Langevin equation (FLE) for a probe particle in such systems, in the case of thermal initial conditions, is derived and it is shown that this FLE is the only one fulfilling the fluctuation-dissipation relation within a new family of fractional Brownian motion equations. Expand