IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v260y1998i3p349-373.html
   My bibliography  Save this article

Kinetic models of self-organization effects in lattice systems

Author

Listed:
  • Dubrovskii, V.G.
  • Cirlin, G.E.
  • Bauman, D.A.
  • Kozachek, V.V.
  • Mareev, V.V.

Abstract

A non-linear model for time-dependent occupation of lattice gas sites is studied. A self-consistent approximation for the diffusion operator is proposed and studied in discrete and continual forms. It is shown that self-organization effects in the spinodal region lead to a spontaneous transformation of an unstable uniform ground state into an array of self-assembled islands. The relationship between the model and the theory of first-order phase transitions is discussed. The model is applied to the study of self-organization in three-dimensional adsorbates with attractive lateral interactions. A special emphasis is given to the description of a spontaneous islanding during molecular beam epitaxy and related growth techniques. It is shown that the kinetic parameters strongly influence the morphology of space-ordered configurations of the system.

Suggested Citation

  • Dubrovskii, V.G. & Cirlin, G.E. & Bauman, D.A. & Kozachek, V.V. & Mareev, V.V., 1998. "Kinetic models of self-organization effects in lattice systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 260(3), pages 349-373.
    • Handle: RePEc:eee:phsmap:v:260:y:1998:i:3:p:349-373
    DOI: 10.1016/S0378-4371(98)00275-1
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437198002751
    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(98)00275-1?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.

    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:260:y:1998:i:3:p:349-373. 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.

    We have no bibliographic 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.

    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.