Dynamical stability of a simple model similar to self-gravitating systems

Details Dynamical stability of a simple model similar to self-gravitating systems Dynamical stability of a simple model similar to self-gravitating systems

Oct 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993pasj...45..733i&link_type=abstract

PASJ: Publications of the Astronomical Society of Japan (ISSN 0004-6264), vol. 45, no. 5, p. 733-735

Physics

Condensed Matter

Statistical Mechanics

35

Dynamic Models, Dynamic Stability, Galactic Clusters, Gravitational Effects, Many Body Problem, Statistical Mechanics, Stellar Gravitation, Hamiltonian Functions, Laplace Transformation, Liouville Equations

Scientific paper

Cluster formation in the Konishi-Kaneko system is similar to the Jeans instability in self-gravitating systems. Cluster formation was examined by modifying the map system into one with a continuous time described by Hamilton's canonical equations. The dispersion relation was derived with the use of the collisionless Boltzmann equation. The growth rates obtained agree excellently with those obtained by N-body simulations.

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