IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v545y2020ics0378437119318862.html
   My bibliography  Save this article

Anomalous decay of linear and quadratic states

Author

Listed:
  • Singh, R.K.

Abstract

A study about subdiffusive escape to an absorbing barrier in linear and quadratic potentials is presented. A comparison is made between the mechanisms of the generalized Langevin equation (GLE) and the fractional Fokker–Planck equation (FFPE), in terms of the decay properties of the survival probability in a given region of interest. We find that the asymptotic decay of the survival probability for the case of FFPE is slower (power-law) as compared to that of the GLE (stretched-exponential or exponential). This observation is independent of the details of the underlying potential in which the motion is taking place. As a consequence, the qualitative difference in the escape behavior can be employed as an experimental test to distinguish between the two mechanisms of subdiffusion. This is particularly important in situations where individual trajectories are unavailable.

Suggested Citation

  • Singh, R.K., 2020. "Anomalous decay of linear and quadratic states," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    • Handle: RePEc:eee:phsmap:v:545:y:2020:i:c:s0378437119318862
    DOI: 10.1016/j.physa.2019.123374
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437119318862
    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.2019.123374?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:545:y:2020:i:c:s0378437119318862. 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.