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Advances in Astronomy
Volume 2008 (2008), Article ID 870804, 14 pages
http://dx.doi.org/10.1155/2008/870804
Research Article

Entropy Maximization, Cutoff Distribution, and Finite Stellar Masses

Department of Physics, Banaras Hindu University, Varanasi 221 005, India

Received 18 April 2008; Revised 16 July 2008; Accepted 26 August 2008

Academic Editor: Giovanni Carraro

Copyright © 2008 Ritesh Kumar Dubey et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. K. Huang, Ed., Statistical Mechanics, K. Huang, Ed., John Wiley & Sons, New York, NY, USA, 2nd edition, 1987.
  2. L. D. Landau, E. M. Lifshitz, and L. P. Pitaevski, Statistical Physics, Part 1, Pergamon, Oxford, UK, 1980.
  3. S. Chandrasekhar, Principles of Stellar Dynamics, Dover, New York, NY, USA, 1960.
  4. I. R. King, “The structure of star clusters. II. Steady-state velocity distributions,” The Astronomical Journal, vol. 70, p. 376, 1965.
  5. J.-M. Lévy-Leblond, “Nonsaturation of gravitational forces,” Journal of Mathematical Physics, vol. 10, no. 5, pp. 806–812, 1969. View at Publisher · View at Google Scholar
  6. E. H. Lieb, “The stability of matter,” Reviews of Modern Physics, vol. 48, no. 4, pp. 553–569, 1976. View at Publisher · View at Google Scholar
  7. D . Lynden-Bell and R. M. Lynden-Bell, “On the negative specific heat paradox,” Monthly Notices of the Royal Astronomical Society, vol. 181, pp. 405–419, 1977.
  8. J. J. Binney and S. D. Tremaine, Galactic Dynamics, Princeton University Press, Princeton, NJ, USA, 1987.
  9. T. Padmanabhan, “Statistical mechanics of gravitating systems,” Physics Report, vol. 188, no. 5, pp. 285–362, 1990. View at Publisher · View at Google Scholar · View at MathSciNet
  10. F. Ahmad, W. C. Saslaw, and N. I. Bhat, “Statistical mechanics of the cosmological many-body problem,” The Astrophysical Journal, vol. 571, no. 2, pp. 576–584, 2002. View at Publisher · View at Google Scholar
  11. B. Leong and W. C. Saslaw, “Gravitational binding, virialization, and the peculiar velocity distribution of the galaxies,” The Astrophysical Journal, vol. 608, no. 2, pp. 636–646, 2004. View at Publisher · View at Google Scholar
  12. V. J. Menon and D. C. Agrawal, “Method of most probable distribution: new solutions and results,” PRAMANA: Journal of Physics, vol. 33, no. 4, pp. 455–465, 1989. View at Publisher · View at Google Scholar
  13. V. J. Menon, R. K. Dubey, and D. N. Tripathi, “Stable galaxies of finite masses in the most probable distribution,” Physica A, vol. 367, pp. 269–275, 2006. View at Publisher · View at Google Scholar
  14. I. R. King, “The structure of star clusters. I. An empirical density law,” The Astronomical Journal, vol. 67, no. 8, pp. 471–485, 1962. View at Publisher · View at Google Scholar
  15. J. Th. van Loon, F. Van Leeuwen, B. Smalley, et al., “A spectral atlas of post-main-sequence stars in ω Centauri: kinematics, evolution, enrichment and interstellar medium,” Monthly Notices of the Royal Astronomical Society, vol. 382, no. 3, pp. 1353–1374, 2007. View at Publisher · View at Google Scholar
  16. R. V. D. R. Wooley and D. A. Robertson, “Studies in the equilibrium of globular clusters (II),” Monthly Notices of the Royal Astronomical Society, vol. 116, p. 288, 1956.
  17. L. Spitzer, Jr. and R. Harm, “Evaporation of stars from isolated clusters,” The Astrophysical Journal, vol. 127, pp. 544–550, 1958. View at Publisher · View at Google Scholar
  18. R. W. Michie, “On the distribution of high energy stars in spherical stellar systems,” Monthly Notices of the Royal Astronomical Society, vol. 125, p. 127, 1963.
  19. C. P. Wilson, “Dynamical models of elliptical galaxies,” The Astronomical Journal, vol. 80, pp. 175–187, 1975. View at Publisher · View at Google Scholar
  20. S. von Hoerner, “Internal structure of globular clusters,” The Astrophysical Journal, vol. 125, p. 451, 1957. View at Publisher · View at Google Scholar
  21. V. De Alfero and T. Regge, Potential Scattering, North-Holland, Amsterdam, The Netherlands, 1965.
  22. R. J. Newton, The Complex j-Plane, Benjamin, New York, NY, USA, 1964.
  23. M. Abramovitz and I. A. Stegun, Eds., Handbook of Mathematical Functions, M. Abramovitz and I. A. Stegun, Eds., Dover, New York, NY, USA, 1972.
  24. S. Ninkovic, “A globular-cluster model with variable mean mass of a single star,” Bulletin de l'Observatoire Astronomique de Belgrade, no. 154, pp. 9–12, 1996.
  25. K. Holland, R. F. Jameson, S. Hodgkin, M. B. Davies, and D. Pinfield, “Praesepe—two merging clusters?,” Monthly Notices of the Royal Astronomical Society, vol. 319, no. 3, pp. 956–962, 2000. View at Publisher · View at Google Scholar
  26. L. Pauling and E. B. Wilson, Introduction to Quantum Mechanics, McGraw-Hill, New York, NY, USA, 1935.
  27. L. I. Schiff, Quantum Mechanics, McGraw-Hill, New York, NY, USA, 1968.