IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v507y2018icp205-209.html
   My bibliography  Save this article

Short note on conditional collapse of self-gravitating system with positive total energy

Author

Listed:
  • Ahn, Jaewook
  • Choi, Jung-Il

Abstract

In this study, we first show a finite time collapse of a three-dimensional Smoluchowski–Poisson system in the micro-canonical ensemble (i.e., μSP system) with positive total energy. Using a precise estimation of the bound of the gravitational contribution to total energy, we provide blow-up conditions on the initial state of the μSP system. The conditions indicate that highly clustered self-gravitating particles in the μSP system induce a finite time collapse, even for positive total energy.

Suggested Citation

  • Ahn, Jaewook & Choi, Jung-Il, 2018. "Short note on conditional collapse of self-gravitating system with positive total energy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 507(C), pages 205-209.
  • Handle: RePEc:eee:phsmap:v:507:y:2018:i:c:p:205-209
    DOI: 10.1016/j.physa.2018.04.108
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437118305363
    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.2018.04.108?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. Chavanis, Pierre-Henri, 2007. "Critical mass of bacterial populations and critical temperature of self-gravitating Brownian particles in two dimensions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 384(2), pages 392-412.
    2. Chavanis, P.H. & Sire, C., 2005. "On the interpretations of Tsallis functional in connection with Vlasov–Poisson and related systems: Dynamics vs thermodynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 356(2), pages 419-446.
    3. Lemou, Mohammed & Chavanis, Pierre-Henri, 2010. "Escape of stars from gravitational clusters in the Chandrasekhar model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(5), pages 1021-1040.
    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. Lubashevsky, Ihor & Friedrich, Rudolf & Heuer, Andreas & Ushakov, Andrey, 2009. "Generalized superstatistics of nonequilibrium Markovian systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(21), pages 4535-4550.
    2. Atenas, Boris & Curilef, Sergio, 2021. "A statistical description for the Quasi-Stationary-States of the dipole-type Hamiltonian Mean Field Model based on a family of Vlasov solutions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 568(C).

    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:507:y:2018:i:c:p:205-209. 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: 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.