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Clustering in N-body gravitating systems

Author

Listed:
  • Bottaccio, Maurizio
  • Pietronero, Luciano
  • Amici, Alessandro
  • Miocchi, Paolo
  • Capuzzo Dolcetta, Roberto
  • Montuori, Marco

Abstract

Self-gravitating systems have acquired growing interest in statistical mechanics, due to the peculiarities of the 1/r potential. Indeed, the usual approach of statistical mechanics cannot be applied to a system of many point particles interacting with the Newtonian potential, because of (i) the long-range nature of the 1/r potential and of (ii) the divergence at the origin. We study numerically the evolutionary behavior of self-gravitating systems with periodical boundary conditions, starting from simple initial conditions. We do not consider in the simulations additional effects as the (cosmological) metric expansion and/or sophisticated initial conditions, since we are interested whether and how gravity by itself can produce clustered structures. We are able to identify well-defined correlation properties during the evolution of the system, which seem to show a well-defined thermodynamic limit, as opposed to the properties of the “equilibrium state”. Gravity-induced clustering also shows interesting self-similar characteristics.

Suggested Citation

  • Bottaccio, Maurizio & Pietronero, Luciano & Amici, Alessandro & Miocchi, Paolo & Capuzzo Dolcetta, Roberto & Montuori, Marco, 2002. "Clustering in N-body gravitating systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 305(1), pages 247-252.
    • Handle: RePEc:eee:phsmap:v:305:y:2002:i:1:p:247-252
    DOI: 10.1016/S0378-4371(01)00670-7
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