IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v150y2021ics0960077921005531.html
   My bibliography  Save this article

The static and dynamic behavior of a simple parallel-plate capacitor with Casimir force

Author

Listed:
  • Oskouei, Faezeh Jenabi
  • Masoudi, Amir Ali
  • Khorrami, Mohammad

Abstract

The static and dynamic behavior of a fixed-fixed beam under the effect of Casimir force is studied. Two different corrections are studied: the effect of real conductor (in contrast to the ideal conductor) on the Casimir force, and the effect of electrode roughness on the electric and Casimir forces. The bifurcation diagrams and the phase portraits are presented and compared. The chaotic behavior of the system is studied for the case a harmonic voltage is added to the dc voltage, and there is a damping force. It is shown that for autonomous systems (no ac voltage and no damping), the stable region is enlarged when real conductor corrections are applied, applying both the real conductor and roughness corrections shrinks the stable region (compared to applying only the real conductor corrections). Finally, the appearance of chaotic behavior is investigated and the threshold values of the control parameters are found, in the perturbative limit (small values of the harmonic and damping forces). The chaotic regions are compared for the flat ideal, flat real, and rough real cases.

Suggested Citation

  • Oskouei, Faezeh Jenabi & Masoudi, Amir Ali & Khorrami, Mohammad, 2021. "The static and dynamic behavior of a simple parallel-plate capacitor with Casimir force," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    • Handle: RePEc:eee:chsofr:v:150:y:2021:i:c:s0960077921005531
    DOI: 10.1016/j.chaos.2021.111199
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077921005531
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2021.111199?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.

    More about this item

    Keywords

    Casimir force; Capacitor; Chaos;
    All these 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:eee:chsofr:v:150:y:2021:i:c:s0960077921005531. 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: 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.