IDEAS home Printed from https://ideas.repec.org/a/spr/eurphb/v11y1999i2p293-30810.1007-s100510050940.html
   My bibliography  Save this article

Brownian rotation of classical spins: dynamical equations for non-bilinear spin-environment couplings

Author

Listed:
  • J. García-Palacios

Abstract

Dynamical equations for a classical spin interacting with the surrounding medium are derived by means of the formalism of the oscillator-bath environment. The bilinear-coupling treatment of Jayannavar (Z. Phys. B 82, 153 (1991)) is extended to couplings that depend arbitrarily on the spin variables and are linear or linear-plus-quadratic in the environment dynamical variables. The dynamical equations obtained have the structure of generalised Langevin equations, which, in the Markovian approach, formally reduce to known semi-phenomenological equations of motion for classical magnetic moments. Specifically, the generalisation of the stochastic Landau-Lifshitz equation effected by Garanin, Ishchenko, and Panina (Theor. Math. Phys. 82, 169 (1990)) in order to incorporate fluctuations of the magnetic anisotropy of the spin, is obtained for spin-environment interactions including up to quadratic terms in the spin variables. On the other hand, the portion of the coupling quadratic in the environment variables introduces an explicit dependence of the effective damping coefficients on the temperature. Copyright Società Italiana di Fisica, Springer-Verlag 1999

Suggested Citation

  • J. García-Palacios, 1999. "Brownian rotation of classical spins: dynamical equations for non-bilinear spin-environment couplings," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 11(2), pages 293-308, September.
    • Handle: RePEc:spr:eurphb:v:11:y:1999:i:2:p:293-308:10.1007/s100510050940
    DOI: 10.1007/s100510050940
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s100510050940
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s100510050940?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:spr:eurphb:v:11:y:1999:i:2:p:293-308:10.1007/s100510050940. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.