IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v240y1997i1p12-42.html
   My bibliography  Save this article

Dynamical systems theory and transport coefficients: A survey with applications to Lorentz gases

Author

Listed:
  • Dorfman, J.R.
  • van Beijeren, Henk

Abstract

Recent developments in the applications of ideas from dynamical systems theory to transport phenomena in non-equilibrium fluids are reviewed. We discuss methods for expressing transport coefficients for fluid systems in terms of dynamical quantities that characterize the chaotic behavior of the phase-space trajectories of such systems. We describe two such methods: the escape rate method of Gaspard and co-workers, and the Gaussian thermostat method of Hoover, Posch and co-workers, and of Evans and Morriss and co-workers. Related issues such as the properties of repellers and attractors and of entropy production in such systems will be discussed. As examples of these formal developments, we describe recent work on Lorentz gases where the escape rate and Gaussian thermostat approaches to transport can be implemented in detail and the results compared with both numerical simulations and with the results of kinetic theory of gases.

Suggested Citation

  • Dorfman, J.R. & van Beijeren, Henk, 1997. "Dynamical systems theory and transport coefficients: A survey with applications to Lorentz gases," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 240(1), pages 12-42.
    • Handle: RePEc:eee:phsmap:v:240:y:1997:i:1:p:12-42
    DOI: 10.1016/S0378-4371(97)00128-3
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437197001283
    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)00128-3?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.

    More about this item

    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:240:y:1997:i:1:p:12-42. 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.