IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v391y2012i21p5095-5101.html
   My bibliography  Save this article

Model of lateral diffusion in ultrathin layered films

Author

Listed:
  • Postnikov, Eugene B.
  • Sokolov, Igor M.

Abstract

We consider the diffusion of markers in a layered medium, with the lateral diffusion coefficient being the function of hight. We show that the probability density of the lateral displacements follows a one-dimensional Batchelor’s equation with time-dependent diffusion coefficient governed by the particles’ redistribution in height. For the film of a finite thickness the resulting mean squared displacement exhibits superdiffusion at short times and crosses over to normal diffusion at long times. The approach is used for a description of experimental results on inhomogeneous molecular diffusion in thin liquid films deposited on solid surfaces.

Suggested Citation

  • Postnikov, Eugene B. & Sokolov, Igor M., 2012. "Model of lateral diffusion in ultrathin layered films," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(21), pages 5095-5101.
  • Handle: RePEc:eee:phsmap:v:391:y:2012:i:21:p:5095-5101 DOI: 10.1016/j.physa.2012.06.002
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S037843711200489X
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Nagatani, Takashi, 2007. "Nonlinear-map model for split effect on vehicular traffic through periodic signals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 374(1), pages 431-440.
    2. Tanaka, Katsunori & Nagatani, Takashi & Masukura, Shuichi, 2008. "Fundamental diagram in traffic flow of mixed vehicles on multi-lane highway," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(22), pages 5583-5596.
    3. Wastavino, L.A. & Toledo, B.A. & Rogan, J. & Zarama, R. & Muñoz, V. & Valdivia, J.A., 2007. "Modeling traffic on crossroads," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 381(C), pages 411-419.
    4. Wang, Ruili & Jiang, Rui & Wu, Qing-Song & Liu, Mingzhe, 2007. "Synchronized flow and phase separations in single-lane mixed traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 378(2), pages 475-484.
    5. Montemayor-Aldrete, J.A. & Ugalde-Vélez, P. & del Castillo-Mussot, M. & Vázquez-Villanueva, C.A. & Vázquez, G.J. & Mendoza-Allende, A., 2006. "Steady state traffic flow, entropy production rate, temporal fluctuations and fuel consumption," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 361(2), pages 630-642.
    6. Nagatani, Takashi, 2007. "Clustering and maximal flow in vehicular traffic through a sequence of traffic lights," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 377(2), pages 651-660.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    Anomalous diffusion; Thin films; Layered medium;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:391:y:2012:i:21:p:5095-5101. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Dana Niculescu). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.