IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v549y2020ics0378437120301163.html
   My bibliography  Save this article

Barrierless reaction kinetics : Different distribution functions of relevant Brownian functionals

Author

Listed:
  • Dubey, Ashutosh
  • Bandyopadhyay, Malay

Abstract

We investigate different first passage properties of a barrierless electronic reactions in solution by suggesting and examining different probability distribution functions (PDFs) of relevant Brownian functionals associated with the lifetime and reactivity of the process. Activationless electronic reaction in solution can be modelled as a free Brownian motion with inertial term in the underdamped regime. In this context we suggest several important distribution functions that can characterize the reaction kinetics. Our study is based on the investigation of different PDFs related with Brownian functionals of an effectively reduced Brownian motion with time dependent drift and diffusion coefficients. Our analytical results are compared with the numerically simulated corresponding Langevin equation and we obtain a very good agreement. We have explored various nontrivial scaling behaviour of different PDFs and calculated explicitly the power law related with the asymptotic limits and they can be further verified experimentally.

Suggested Citation

  • Dubey, Ashutosh & Bandyopadhyay, Malay, 2020. "Barrierless reaction kinetics : Different distribution functions of relevant Brownian functionals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 549(C).
    • Handle: RePEc:eee:phsmap:v:549:y:2020:i:c:s0378437120301163
    DOI: 10.1016/j.physa.2020.124343
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437120301163
    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.2020.124343?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:549:y:2020:i:c:s0378437120301163. 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.