IDEAS home Printed from https://ideas.repec.org/a/wsi/srlxxx/v11y2004i01ns0218625x04005883.html
   My bibliography  Save this article

Extended Mean Field Approach To Analyzing Pattern Formation In Surface Chemical Reactions

Author

Listed:
  • E. E. MOLA

    (INIFTA, Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas (UNLP, CONICET, CICPBA), Suc. 4, Casilla de Correo 16 (1900) La Plata, Argentina)

  • D. A. KING

    (Department of Chemistry, University of Cambridge, Lensfield Road, Cambridge CB2 IEW, UK)

  • I. M. IRURZUN

    (INIFTA, Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas (UNLP, CONICET, CICPBA), Suc. 4, Casilla de Correo 16 (1900) La Plata, Argentina)

  • M. RAFTI

    (INIFTA, Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas (UNLP, CONICET, CICPBA), Suc. 4, Casilla de Correo 16 (1900) La Plata, Argentina)

  • J. L. VICENTE

    (INIFTA, Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas (UNLP, CONICET, CICPBA), Suc. 4, Casilla de Correo 16 (1900) La Plata, Argentina)

Abstract

In this paper we apply a model of surface chemical reactions to describe pattern formation in theCOoxidation on Pt(100). The model is an extended mean field approximation (EMFA), where two coupling processes are included: gas global coupling (to take into account the mass chemical reaction balance) andCOdiffusion. The surface is divided intoM×Mcells; inside each of them the mean field approximation (MFA) is fulfilled. Anisotropic diffusion between nearest neighbor cells and gas coupling among all cells are also allowed.The EMFA goes beyond the traditional reaction–diffusion approaches with Fickian terms, in favor of a more general mass balance equation that consistently incorporates the coupling betweenCOdiffusion and the nonlinear phase transition of the substrate.In this paper we study three different cases: (a) homogeneous coverage oscillations — whenCOandO2partial pressures are kept constant and the whole set ofM×Mcells have the same value of partial coverages and phase fractions; in this case the system exhibits self-oscillations, such as those experimentally observed; (b) inhomogeneous coverage oscillations — whenCOandO2partial pressures are kept constant and inhomogeneities of coverage are present; the system evolves byCOdiffusion between nearest neighbor cells; (c) gas global coupling — when gas global coupling is allowed and inhomogeneities of coverage are present, there are oscillations in the gas phase that follow the surface evolution.

Suggested Citation

  • E. E. Mola & D. A. King & I. M. Irurzun & M. Rafti & J. L. Vicente, 2004. "Extended Mean Field Approach To Analyzing Pattern Formation In Surface Chemical Reactions," Surface Review and Letters (SRL), World Scientific Publishing Co. Pte. Ltd., vol. 11(01), pages 57-70.
    • Handle: RePEc:wsi:srlxxx:v:11:y:2004:i:01:n:s0218625x04005883
    DOI: 10.1142/S0218625X04005883
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0218625X04005883
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0218625X04005883?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. Burt, Sandra, 1992. "British Feminism in the Twentieth Century. Edited by Harold L. Smith. Amherst: University of Massachusetts Press, 1990. 214p. $27.50. - Journeys among Women: Feminism in Five Italian Cities. By Judith," American Political Science Review, Cambridge University Press, vol. 86(1), pages 279-280, March.
    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.

      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:wsi:srlxxx:v:11:y:2004:i:01:n:s0218625x04005883. 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: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/srl/srl.shtml .

      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.