IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v458y2016icp76-94.html
   My bibliography  Save this article

The generalized Langevin equation revisited: Analytical expressions for the persistence dynamics of a viscous fluid under a time dependent external force

Author

Listed:
  • Olivares-Rivas, Wilmer
  • Colmenares, Pedro J.

Abstract

The non-static generalized Langevin equation and its corresponding Fokker–Planck equation for the position of a viscous fluid particle were solved in closed form for a time dependent external force. Its solution for a constant external force was obtained analytically. The non-Markovian stochastic differential equation, associated to the dynamics of the position under a colored noise, was then applied to the description of the dynamics and persistence time of particles constrained within absorbing barriers. Comparisons with molecular dynamics were very satisfactory.

Suggested Citation

  • Olivares-Rivas, Wilmer & Colmenares, Pedro J., 2016. "The generalized Langevin equation revisited: Analytical expressions for the persistence dynamics of a viscous fluid under a time dependent external force," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 458(C), pages 76-94.
    • Handle: RePEc:eee:phsmap:v:458:y:2016:i:c:p:76-94
    DOI: 10.1016/j.physa.2016.03.112
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437116301108
    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.2016.03.112?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. Sharma, Shivangi & Biswas, Parbati, 2019. "Unusual dynamics of hydration water around motor proteins with long-ranged hydrodynamic fluctuations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    2. Xiao, Bo & Li, Renfu, 2019. "Work fluctuation and its optimal extraction with time dependent harmonic potential from a non-Markovian bath," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 516(C), pages 161-171.
    3. Wang, Huiqi & Ni, Feixiang & Lin, Lifeng & Lv, Wangyong & Zhu, Hongqiang, 2018. "Transport behaviors of locally fractional coupled Brownian motors with fluctuating interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 124-135.

    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:458:y:2016:i:c:p:76-94. 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.