IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v57y2013icp129-136.html
   My bibliography  Save this article

Path probability distribution of stochastic motion of non dissipative systems: a classical analog of Feynman factor of path integral

Author

Listed:
  • Lin, T.L.
  • Wang, R.
  • Bi, W.P.
  • El Kaabouchi, A.
  • Pujos, C.
  • Calvayrac, F.
  • Wang, Q.A.

Abstract

We investigate, by numerical simulation, the path probability of non dissipative mechanical systems undergoing stochastic motion. The aim is to search for the relationship between this probability and the usual mechanical action. The model of simulation is a one-dimensional particle subject to conservative force and Gaussian random displacement. The probability that a sample path between two fixed points is taken is computed from the number of particles moving along this path, an output of the simulation, divided by the total number of particles arriving at the final point. It is found that the path probability decays exponentially with increasing action of the sample paths. The decay rate increases with decreasing randomness. This result supports the existence of a classical analog of the Feynman factor in the path integral formulation of quantum mechanics for Hamiltonian systems.

Suggested Citation

  • Lin, T.L. & Wang, R. & Bi, W.P. & El Kaabouchi, A. & Pujos, C. & Calvayrac, F. & Wang, Q.A., 2013. "Path probability distribution of stochastic motion of non dissipative systems: a classical analog of Feynman factor of path integral," Chaos, Solitons & Fractals, Elsevier, vol. 57(C), pages 129-136.
    • Handle: RePEc:eee:chsofr:v:57:y:2013:i:c:p:129-136
    DOI: 10.1016/j.chaos.2013.10.002
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077913001926
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2013.10.002?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.

    References listed on IDEAS

    as
    1. Wang, Q.A. & Bangoup, S. & Dzangue, F. & Jeatsa, A. & Tsobnang, F. & Le Méhauté, A., 2009. "Reformulation of a stochastic action principle for irregular dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2550-2556.
    2. Wang, Qiuping A., 2005. "Non-quantum uncertainty relations of stochastic dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 26(4), pages 1045-1052.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Umberto Lucia, 2014. "The Gouy-Stodola Theorem in Bioenergetic Analysis of Living Systems (Irreversibility in Bioenergetics of Living Systems)," Energies, MDPI, vol. 7(9), pages 1-23, September.
    2. Lucia, Umberto, 2013. "Stationary open systems: A brief review on contemporary theories on irreversibility," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(5), pages 1051-1062.
    3. Lucia, Umberto, 2014. "Entropy generation and the Fokker–Planck equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 393(C), pages 256-260.
    4. Wang, Q.A. & Bangoup, S. & Dzangue, F. & Jeatsa, A. & Tsobnang, F. & Le Méhauté, A., 2009. "Reformulation of a stochastic action principle for irregular dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2550-2556.
    5. Lucia, Umberto, 2013. "Thermodynamic paths and stochastic order in open systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(18), pages 3912-3919.

    More about this item

    Statistics

    Access and download statistics

    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:chsofr:v:57:y:2013:i:c:p:129-136. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    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.