IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v240y1997i3p622-634.html
   My bibliography  Save this article

Asymptotic behaviour of initially separated A + B(static) → 0 reaction-diffusion systems

Author

Listed:
  • Koza, Zbigniew

Abstract

We examine the long-time behaviour of A + B(static) → 0 reaction-diffusion systems with initially separated species A and B. All of our analysis is carried out for arbitrary (positive) values of the diffusion constant DA of particles A and initial concentrations a0 and b0 of A's and B's. We derive general formulae for the location of the reaction zone centre, the total reaction rate, and the concentration profile of species A outside the reaction zone. The general properties of the reaction zone are studied with a help of the scaling ansatz. Using the mean-field approximation we find the functional forms of ‘tails’ of the reaction rate R and the dependence of the width of the reaction zone on the external parameters of the system. We also study the change in the kinetics of the system with DB > 0 in the limit DB → 0. Our results are supported by numerical solutions of the mean-field reaction-diffusion equation.

Suggested Citation

  • Koza, Zbigniew, 1997. "Asymptotic behaviour of initially separated A + B(static) → 0 reaction-diffusion systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 240(3), pages 622-634.
    • Handle: RePEc:eee:phsmap:v:240:y:1997:i:3:p:622-634
    DOI: 10.1016/S0378-4371(97)00011-3
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437197000113
    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
    File URL: https://libkey.io/10.1016/S0378-4371(97)00011-3?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    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. Cardy, Robert L. & Keefe, Thomas J., 1994. "Observational Purpose and Evaluative Articulation in Frame-of-Reference Training: The Effects of Alternative Processing Modes on Rating Accuracy," Organizational Behavior and Human Decision Processes, Elsevier, vol. 57(3), pages 338-357, March.
    2. Havlin, S. & Araujo, M. & Lereah, Y. & Larralde, H. & Shehter, A. & Stanley, H.E. & Trunfio, P. & Vilensky, B., 1995. "Complex dynamics in initially separated reaction-diffusion systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 221(1), pages 1-14.
    3. Schoonover, Rodney & Ben-Avraham, Daniel & Havlin, Shlomo & Kopelman, Raoul & Weiss, George H., 1991. "Nearest-neighbor distances in diffusion-controlled reactions modelled by a single mobile trap," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 171(2), pages 232-238.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Barbara L. Marcolin & Deborah R. Compeau & Malcolm C. Munro & Sid L. Huff, 2000. "Assessing User Competence: Conceptualization and Measurement," Information Systems Research, INFORMS, vol. 11(1), pages 37-60, March.
    2. Taitelbaum, Haim, 1993. "Segregation in reaction-diffusion systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 200(1), pages 155-164.

    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:240:y:1997:i:3:p:622-634. See general information about how to correct material in RePEc.

    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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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.

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

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

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.