IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v527y2019ics0378437119307198.html
   My bibliography  Save this article

On a simple derivation of the very low damping escape rate for classical spins by modifying the method of Kramers

Author

Listed:
  • Byrne, D.J.
  • Coffey, W.T.
  • Kalmykov, Yu.P.
  • Titov, S.V.

Abstract

The original perturbative Kramers’ method (starting from the phase space coordinates) (Kramers, 1940) of determining the energy-controlled-diffusion equation for Newtonian particles with separable and additive Hamiltonians is generalized to yield the energy-controlled diffusion equation and thus the very low damping (VLD) escape rate including spin-transfer torque for classical giant magnetic spins with two degrees of freedom. These have dynamics governed by the magnetic Langevin and Fokker–Planck equations and thus are generally based on non-separable and non-additive Hamiltonians. The derivation of the VLD escape rate directly from the (magnetic) Fokker–Planck equation for the surface distribution of magnetization orientations in the configuration space of the polar and azimuthal angles (ϑ,φ) is much simpler than those previously used.

Suggested Citation

  • Byrne, D.J. & Coffey, W.T. & Kalmykov, Yu.P. & Titov, S.V., 2019. "On a simple derivation of the very low damping escape rate for classical spins by modifying the method of Kramers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 527(C).
    • Handle: RePEc:eee:phsmap:v:527:y:2019:i:c:s0378437119307198
    DOI: 10.1016/j.physa.2019.121195
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437119307198
    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/j.physa.2019.121195?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.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Wang, Jianlong & Leng, Xiaolei & Liu, Xianbin, 2021. "An efficient approach to obtaining the exit location distribution and the mean first passage time based on the GCM method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 572(C).

    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:527:y:2019:i:c:s0378437119307198. 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.