We model gravitational collapse leading to star formation in a wide range of
isolated disk galaxies using a three-dimensional, smoothed particle
hydrodynamics code. The model galaxies include a dark matter halo and a disk of
stars and isothermal gas. Absorbing sink particles are used to directly measure
the mass of gravitationally collapsing gas. They reach masses characteristic of
stellar clusters. In this paper, we describe our galaxy models and numerical
methods, followed by an investigation of the gravitational instability in these
galaxies. Gravitational collapse forms star clusters with correlated positions
and ages, as observed, for example, in the Large Magellanic Cloud.
Gravitational instability alone acting in unperturbed galaxies appears
sufficient to produce flocculent spiral arms, though not more organized
patterns. Unstable galaxies show collapse in thin layers in the galactic plane;
associated dust will form thin dust lanes in those galaxies, in agreement with
observations. (abridged)Comment: 49 pages, 22 figures, to appear in ApJ (July, 2005), version with
high quality color images can be fond in
http://research.amnh.org/~yuexing/astro-ph/0501022.pd