Skip to main content
Log in

Derivation of an equation of pair correlation function from BBGKY hierarchy in a weakly coupled self-gravitating system

  • Regular Article - Statistical and Nonlinear Physics
  • Published:
The European Physical Journal B Aims and scope Submit manuscript

Abstract

An equation of pair correlation function has been derived from the first two members of BBGKY hierarchy in a weakly coupled inhomogeneous self-gravitating system in quasi-thermal equilibrium. This work may be useful to study the thermodynamic properties of the central region of a star cluster which is older than a few or more central relaxation time.

Graphic abstract

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: Data sharing is not applicable to this article as no data sets were generated or analysed during the current study.]

References

  1. L. Spitzer, Dynamical Evolution of Globular Clusters (Princeton University Press, Princeton, NJ, 1987)

    Google Scholar 

  2. J. Binney, S. Tremaine, Galactic Dynamics (Princeton University Press, Princeton, 2008)

    Book  MATH  Google Scholar 

  3. P.H. Chavanis, C. Rosier, C. Sire, Phys. Rev. E 66, 036105 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  4. J. Katz, Found. Phys. 33, 223 (2003)

    Article  ADS  MathSciNet  Google Scholar 

  5. T. Tatekawa, F. Bouchet, T. Dauxois, S. Ruffo, Phys. Rev. E 71, 056111 (2005)

    Article  ADS  Google Scholar 

  6. A. Campa, T. Dauxois, D. Fanelli, S. Ruffo, Physics of Long-Range Interacting Systems (Oxford University Press, Oxford, 2014)

    Book  MATH  Google Scholar 

  7. F. Bouchet, J. Barr’e, J. Stat. Phys. 118, 1073 (2005)

    Article  ADS  MathSciNet  Google Scholar 

  8. F. Bouchet, S. Gupta, D. Mukamel, Physica A 389, 4389 (2010)

    Article  ADS  MathSciNet  Google Scholar 

  9. V.A. Antonov, Vestnik Leningrad Univ. 7, 135 (1962)

    ADS  Google Scholar 

  10. D. Lynden-Bell, R. Wood, Mon. Not. R. Astron. Soc. 138, 495 (1968)

    Article  ADS  Google Scholar 

  11. T. Padmanabhan, Astrophys. J. Suppl. 71, 651 (1989)

    Article  ADS  Google Scholar 

  12. J. Heyvaerts, MNRAS 407, 355 (2010)

    Article  ADS  Google Scholar 

  13. P.H. Chavanis, Physica A 391, 3680 (2012)

    Article  ADS  MathSciNet  Google Scholar 

  14. J.B. Fouvry, B. Bar-Or, ApJ 807, L23 (2018)

    Google Scholar 

  15. C. Hamilton, MNRAS 501, 3371 (2021)

    ADS  Google Scholar 

  16. G. Severne, M.J. Haggerty, Astrophys. Space Sci. 45, 287 (1976)

    Article  ADS  MathSciNet  Google Scholar 

  17. A. Bose, Phys. Plasmas 23, 104505 (2016)

    Article  ADS  Google Scholar 

  18. P.H. Chavanis, Physica A 387, 5716 (2008)

    Article  ADS  MathSciNet  Google Scholar 

  19. P.H. Chavanis, Physica A 361, 55 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  20. P.H. Chavanis, A & A 556, A93 (2013)

    Article  ADS  Google Scholar 

  21. S. Chandrasekhar, Principles of Stellar Dynamics (University of Chicago Press, Chicago, 1942)

    MATH  Google Scholar 

  22. S. Chandrasekhar, ApJ 97, 255 (1943)

    Article  ADS  Google Scholar 

  23. S. Chandrasekhar, ApJ 97, 263 (1943)

    Article  ADS  Google Scholar 

  24. J.J. Aly, Phys. Rev. A 49, 3771 (1994)

    ADS  Google Scholar 

Download references

Acknowledgements

I would like to acknowledge helpful discussions with Prof. S. Tremaine.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Anirban Bose.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Bose, A. Derivation of an equation of pair correlation function from BBGKY hierarchy in a weakly coupled self-gravitating system. Eur. Phys. J. B 96, 41 (2023). https://doi.org/10.1140/epjb/s10051-023-00505-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epjb/s10051-023-00505-2

Navigation