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Structure formation in the one-dimensional gravitational gas

  • Plasma And Gravitation
  • Conference paper
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Dynamical Systems, Plasmas and Gravitation

Part of the book series: Lecture Notes in Physics ((LNP,volume 518))

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Abstract

We show analytically that it is natural to develop a hierarchy of structures in a one dimensional self-gravitating gas exploded from an initial Gaussian space distribution and a smooth symmetric momentum distribution. We also conjecture the occurrence of an instability for some combination of time and gravitational coupling constant.

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References

  • Bogoliubov, N.N. (1962): problems of a dynamical theory in statistical physics, Studies in Statistical Mechanics, Vol. 1, De Boer, J. and Uhlenbeck, G.E. eds. (North Holland Publishing Company, Amsterdam)

    Google Scholar 

  • Camm, G.L. (1950): Self gravitating star systems. MNRAS 110, 305–324

    MATH  ADS  MathSciNet  Google Scholar 

  • Hohl, F., Feix, M.R (1966): A one-dimensional model to study collective effects in stellar dynamics. Phys. Lett. 56A, 432–434

    Google Scholar 

  • Linde, A.D. (1990): Particle Physics and Inflationary Cosmology (Harwood, New York)

    Google Scholar 

  • Mineau, P., Feix, M.R., Muriel, A. (1990): A perturbation method for high-virial gravitational systems in the collisionless regime. Astron. Astrophys. 233, 422–426

    ADS  Google Scholar 

  • Muriel, A., Dresden, M. (1997): An integral formulation of hydrodynamics. Physica D, 299–316

    Google Scholar 

  • Muriel, A., Esguerra, P. (1996): Exact time evolution of the density of a classical many-body system: the open one-dimensional gravitational gas. Phys. Rev. E. 54, 1433–1441

    Article  ADS  Google Scholar 

  • Muriel, A., Esguerra, P., Dresden, M. (to be published)

    Google Scholar 

  • Peebles, P.J. (1980): The Large-Scale Structure of the Universe (The University Press, Princeton)

    Google Scholar 

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Author information

Authors and Affiliations

  1. World Laboratory Research Center for Fluid Dynamics, University of the Philippines Los Baños, 4031 College, Laguna, Philippines

    Amador Muriel & Agnes Miciano-Cariño

  2. Institute of Computer Science, University of The Philippines Los Baños, 4031 College, Laguna, Philippines

    Ricolindo L. Cariño

Authors
  1. Amador Muriel
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  2. Agnes Miciano-Cariño
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  3. Ricolindo L. Cariño
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Editor information

P. G. L. Leach S. E. Bouquet J.-L. Rouet E. Fijalkow

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© 1999 Springer-Verlag

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Muriel, A., Miciano-Cariño, A., Cariño, R.L. (1999). Structure formation in the one-dimensional gravitational gas. In: Leach, P.G.L., Bouquet, S.E., Rouet, JL., Fijalkow, E. (eds) Dynamical Systems, Plasmas and Gravitation. Lecture Notes in Physics, vol 518. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0105925

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  • DOI: https://doi.org/10.1007/BFb0105925

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-65467-4

  • Online ISBN: 978-3-540-49251-1

  • eBook Packages: Springer Book Archive

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