IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v310y2002i1p223-233.html
   My bibliography  Save this article

Axiomatic theory of self-organizing system

Author

Listed:
  • Olemskoi, Alexander I.

Abstract

Mutually conjugated synergetic schemes are assumed to address the evolution of nonequilibrium self-organizing system. Within the framework of the former, the system is parameterized by a conserving order parameter using density, a conjugate field reducing to a gradient of related flux, and control parameter, whose driven magnitude fixes stationary state. We show that the introduced conjugate field and the control parameter are relevant to entropy and internal energy, so that self-organization effect appears as a negative temperature. Along the line of the conjugated scheme, roles of order parameter, conjugate field and control parameter are played with a flux of conserving value, and gradients of both chemical potential and temperature. With the growth of the latter, a relevant value of the entropy shows a decrease in the supercritical regime related to spontaneous flux-state. We prove that both the approaches stated on using density and conjugated flux as order parameters follow from unified field theory related to the simplest choice of both the Lagrangian and dissipative function.

Suggested Citation

  • Olemskoi, Alexander I., 2002. "Axiomatic theory of self-organizing system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 310(1), pages 223-233.
    • Handle: RePEc:eee:phsmap:v:310:y:2002:i:1:p:223-233
    DOI: 10.1016/S0378-4371(02)00596-4
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437102005964
    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(02)00596-4?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:310:y:2002:i:1:p:223-233. 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.