Skip to main page content
U.S. flag

An official website of the United States government

Dot gov

The .gov means it’s official.
Federal government websites often end in .gov or .mil. Before sharing sensitive information, make sure you’re on a federal government site.

Https

The site is secure.
The https:// ensures that you are connecting to the official website and that any information you provide is encrypted and transmitted securely.

Access keys NCBI Homepage MyNCBI Homepage Main Content Main Navigation
. 2019 May 28;150(20):206101.
doi: 10.1063/1.5098390.

Trapping of diffusing particles by periodic absorbing rings on a cylindrical tube

Denis S Grebenkov  1 , Ralf Metzler  2 , Gleb Oshanin  3 , Leonardo Dagdug  4 , Alexander M Berezhkovskii  5 , Alexei T Skvortsov  6
Affiliations

Trapping of diffusing particles by periodic absorbing rings on a cylindrical tube

Denis S Grebenkov et al. J Chem Phys. .
No abstract available

PubMed Disclaimer

Figures

FIG. 1.
FIG. 1.
Schematic view of the diffusion domain studied in Ref. . A particle diffuses between the two concentric cylinders of radii R and ρ ≤ R. The intercylinder space is constrained by two reflecting walls separated by distance L, which are perpendicular to the cylinder axis. The particle is trapped by a partially absorbing ring of length l located on the inner cylinder near the reflecting wall. The rest of the inner cylinder surface and that of the outer cylinder are reflective.
FIG. 2.
FIG. 2.
Contour plots showing the absolute values of the relative error of the two approximate expressions for the factor f, given in Eqs. (2) and (4), in percent, 100|1 − fi/f|, i = 1, 2, as functions of the geometric parameters δ = R − ρ and ρ, where δ is the distance between the inner and outer cylinders, rescaled by the system length L. The contour plots are presented for two values of the surface fraction occupied by the absorbing ring on the inner cylinder, l/L = 0.1 [panels (a) and (c)] and l/L = 0.5 [panels (b) and (d)]. The relative errors of Eqs. (4) and (2) are shown in panels (a) and (b) and panels (c) and (d), respectively. The numbers indicate the magnitudes of the relative error.
See this image and copyright information in PMC

References

    1. Grebenkov D. S., Metzler R., and Oshanin G., New J. Phys. 19, 103025 (2017). 10.1088/1367-2630/aa8ed9 - DOI
    1. Dagdug L., Berezhkovskii A. M., and Skvortsov A. T., J. Chem. Phys. 142, 234902 (2015). 10.1063/1.4922444 - DOI - PMC - PubMed
    1. Alberts B., Johnson A., Lewis J., Morgan D., Raff M., Roberts K., and Walter P., Molecular Biology of the Cell (Garland Science, New York, 2014).
    1. Berg O. G. and von Hippel P. H., Annu. Rev. Biophys. Biophys. Chem. 14, 131 (1985). 10.1146/annurev.bb.14.060185.001023 - DOI - PubMed
    1. Kolomeisky A. B., Phys. Chem. Chem. Phys. 13, 2088 (2011). 10.1039/c0cp01966f - DOI - PubMed

Publication types