IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v678y2025ics0378437125005692.html
   My bibliography  Save this article

Thermodynamic and joint entropy of linear dissipative systems

Author

Listed:
  • Mahapatra, Ronit

Abstract

We investigate the thermodynamic and information-theoretic aspects of an isolated linear dissipative system by analysing the damped harmonic oscillator. The thermodynamic entropy is obtained from the partition function, and its time evolution shows a consistent increase due to dissipation. Additionally, we evaluate Leipnik’s joint entropy and Fisher information using the wavefunction derived from the system’s propagator. We observe that in isolated dissipative systems, the presence of nonconservative dynamics leads to a decrease in the joint entropy and increase in Fisher information over time due to the time-dependent commutation relation. We have compared that with the Caldirola–Kanai model, where thermodynamic entropy remains constant and joint entropy is oscillatory. In the undamped limit, the results reduce to those of the simple harmonic oscillator, in which the entropy remains constant.

Suggested Citation

  • Mahapatra, Ronit, 2025. "Thermodynamic and joint entropy of linear dissipative systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 678(C).
    • Handle: RePEc:eee:phsmap:v:678:y:2025:i:c:s0378437125005692
    DOI: 10.1016/j.physa.2025.130917
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437125005692
    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.2025.130917?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

    for a different version of it.

    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:eee:phsmap:v:678:y:2025:i:c:s0378437125005692. 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.