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Collapses and explosions in self-gravitating systems.

I Ispolatov1, M Karttunen

  • 1Departamento de Fisica, Universidad de Santiago de Chile, Casilla 302, Correo 2, Santiago, Chile.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 4, 2003
PubMed
Summary
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Self-gravitating systems undergo collapse and explosion transitions. Molecular dynamics simulations confirm mean-field theory predictions for these events, showing finite lifetimes for metastable states.

Area of Science:

  • Astrophysics
  • Computational Physics
  • Statistical Mechanics

Background:

  • Self-gravitating systems are fundamental in astrophysics and condensed matter.
  • Understanding phase transitions like collapse and explosion is crucial.
  • Mean-field theory provides a theoretical framework for these phenomena.

Purpose of the Study:

  • To investigate collapse and explosion transitions in self-gravitating systems.
  • To validate mean-field theory predictions using molecular dynamics simulations.
  • To characterize the dynamics and lifetimes of metastable states.

Main Methods:

  • Molecular dynamics simulations of point particles in a spherical box.
  • Utilizing a microcanonical ensemble.
  • Employing an attractive soft Coulomb potential for inter-particle interactions.

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Main Results:

  • Collapse transitions observed when system energy nears the metastability-instability threshold.
  • Explosion transitions observed when core-halo states exceed the explosion energy threshold.
  • Collapse events take approximately 10^5 crossing times; explosions are an order of magnitude faster.
  • Finite lifetimes for metastable states were detected.
  • Mean-field predictions for uniform and core-halo states were found to be accurate within simulation uncertainties.

Conclusions:

  • Molecular dynamics simulations successfully reproduce collapse and explosion transitions in self-gravitating systems.
  • The study validates the accuracy of mean-field theory for describing these transitions.
  • Metastable states in these systems exhibit finite lifetimes, impacting system dynamics.