IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v370y2006i2p553-564.html
   My bibliography  Save this article

The truncated Levy-flight process: Application to the random spin phase change in non-linear magnetic fields

Author

Listed:
  • Posnansky, Oleg
  • Huang, Ruiwang
  • Jon Shah, N.

Abstract

In NMR experiments, self-diffusion of water molecules leads to a random spin phase distribution which is Gaussian in linear magnetic fields. The rate of convergence of the random phase distribution to the Gaussian distribution is very slow. Moreover, a small departure from linear magnetic fields results in significant changes in the spin phase distribution, especially in the central part, and the distribution can be described by Levy-flight process. However, the far-tails of the Levy-like distribution conserve information about the Gaussian prehistory and can validate the degree of non-linearity of the magnetic field. In this paper, the rate, α, of convergence to the Gaussian distribution is calculated for the case of the variation of the power of non-linearity of the magnetic field p and it is shown that α(p)∈(0,0.66] when p∈[1,∞).

Suggested Citation

  • Posnansky, Oleg & Huang, Ruiwang & Jon Shah, N., 2006. "The truncated Levy-flight process: Application to the random spin phase change in non-linear magnetic fields," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 370(2), pages 553-564.
    • Handle: RePEc:eee:phsmap:v:370:y:2006:i:2:p:553-564
    DOI: 10.1016/j.physa.2006.03.062
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437106003505
    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.2006.03.062?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:370:y:2006:i:2:p:553-564. 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.