IDEAS home Printed from https://ideas.repec.org/a/epw/physic/v2y2020i1id11004.html

Analytical Calculation of Power Flow in Three Coupled Oscillators and its Application to One Dimensional Crystal

Author

Listed:
  • Chifu Ebene Ndikilar
  • Sofwan I. Saleh
  • Hafeez Yusuf Hafeez
  • Lawan Sani Taura

Abstract

The motion of a system consisting of three coupled oscillators of three masses attached together by four springs is studied analytically. The system is used as a model to describe the interactions between atoms in a one dimensional crystal with spring-like forces under white noise excitations. Two different cases are considered and the frequencies of oscillations are obtained as well as the equations of motion. The equations of motions are used to determine the power flow in the systems. The power flow determined is used to describe the effects of substitution impurities in a crystal. The power flow of the two systems studied decreases exponentially with increase in frequency to an asymptotic value.

Suggested Citation

  • Chifu Ebene Ndikilar & Sofwan I. Saleh & Hafeez Yusuf Hafeez & Lawan Sani Taura, 2020. "Analytical Calculation of Power Flow in Three Coupled Oscillators and its Application to One Dimensional Crystal," European Journal of Applied Physics, European Open Science, vol. 2(1), February.
    • Handle: RePEc:epw:physic:v:2:y:2020:i:1:id:11004
    DOI: 10.24018/ejphysics.2020.2.1.4
    as

    Download full text from publisher

    File URL: https://eu-opensci.org/index.php/ejphysics/article/view/11004
    File Function: Abstract page
    Download Restriction: no
    File URL: https://eu-opensci.org/index.php/ejphysics/article/download/11004/1926
    File Function: Full text
    Download Restriction: no
    File URL: https://libkey.io/10.24018/ejphysics.2020.2.1.4?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
    ---><---

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    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:epw:physic:v:2:y:2020:i:1:id:11004. 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: Support Team (email available below). General contact details of provider: https://eu-opensci.org/index.php/ejphysics .

    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.