Non-Fickian single-file pore transport.

@article{Farrell2021NonFickianSP,
  title={Non-Fickian single-file pore transport.},
  author={Spencer G. Farrell and Andrew D. Rutenberg},
  journal={Physical review. E},
  year={2021},
  volume={104 3},
  pages={
          L032102
        }
}
Single-file diffusion exhibits anomalously slow collective transport when particles are able to immobilize by binding and unbinding to the one-dimensional channel within which the particles diffuse. We have explored this system for short porelike channels using a symmetric exclusion process with fully stochastic dynamics. We find that for shorter channels, a non-Fickian regime emerges for slow binding kinetics. In this regime the average flux 〈Φ〉∼1/L^{3}, where L is the channel length in units… 

Figures from this paper

References

SHOWING 1-10 OF 41 REFERENCES

Anomalously slow transport in single-file diffusion with slow binding kinetics.

TLDR
The effects of binding kinetics to the channel wall, leading to transient immobility, on the diffusive transport of particles within narrow channels that exhibit single-file diffusion (SFD) are computationally studied.

Bursts in single-file motion mediated conduction.

We present a cellular automaton (CA) model of particles in a single-file motion with free particle exchange at the boundaries of a one-dimensional channel connected to two infinite reservoirs in

Single file diffusion into a semi-infinite tube

TLDR
This work investigates single file diffusion of large particles entering a semi-infinite tube, such as luminal diffusion of proteins into microtubules or flagella, and reports significant single-file effects for individually tracked tracer particle motion.

Single-file diffusion of colloids in one-dimensional channels.

We study the diffusive behavior of colloidal particles which are confined to one-dimensional channels generated by scanning optical tweezers. At long times t, the mean-square displacement is found to

Tracer dynamics in a single-file system with absorbing boundary.

  • A. RyabovP. Chvosta
  • Mathematics
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2014
TLDR
The paper addresses the single-file diffusion in the presence of an absorbing boundary by focusing on an interplay between the hard-core interparticle interaction and the absorption process and exhibits several qualitatively new features.

Single file dynamics in soft materials.

TLDR
A comprehensive review of the recent advances in the theory of SF dynamics with the purpose of spurring further experimental work is provided.

Everlasting effect of initial conditions on single-file diffusion.

TLDR
It is shown that initial conditions determine the long time limit of the dynamics, and in this sense the system never forgets its initial state in complete contrast with thermal systems.

Large deviations in single-file diffusion.

We apply macroscopic fluctuation theory to study the diffusion of a tracer in a one-dimensional interacting particle system with excluded mutual passage, known as single-file diffusion. In the case

Brownian Asymmetric Simple Exclusion Process.

TLDR
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.

Stochastic models of intracellular transport

TLDR
A wide range of analytical methods and models of intracellular transport is presented, including Brownian ratchets, random walk models, exclusion processes, random intermittent search processes, quasi-steady-state reduction methods, and mean-field approximations for active transport.