- KANG HYESUNG
- Journal of the Korean astronomical society = 천문학회지
- 33, n.2
- pp.111-121
- 2000
- 원문 바로보기
Many models of globular cluster formation assume the presence of cold dense clouds in early universe. Here we re-examine the Fall & Rees (1985) model for formation of proto-globular cluster clouds (PGCCs) via thermal instabilities in a protogalactic halo. We first argue, based on the previous study of two-dimensional numerical simulations of thermally unstable clouds in a stratified halo of galaxy clusters by Real et al. (1991), that under the protogalactic environments only nonlinear (<TEX>${\delta}{\ge}1$</TEX>) density inhomogeneities can condense into PGCCs without being disrupted by the buoyancy-driven dynamical instabilities. We then carry out numerical simulations of the collapse of overdense douds in one-dimensional spherical geometry, including self-gravity and radiative cooling down to T = <TEX>$10^4$</TEX> K. Since imprinting of Jeans mass at <TEX>$10^4$</TEX> K is essential to this model, here we focus on the cases where external UV background radiation prevents the formation of <TEX>$H_2$</TEX> molecules and so prevent the cloud from cooling below <TEX>$10^4$</TEX> K. The quantitative results from these simulations can be summarized as follows: 1) Perturbations smaller than <TEX>$M_{min}\~(10^{5.6}\;M{\bigodot})(nh/0.05cm^{-3})^{-2}$</TEX> cool isobarically, where nh is the unperturbed halo density, while perturbations larger than <TEX>$M_{min}\~(10^8\;M{\bigodot})(nh/0.05cm^{-3})^{-2}$</TEX> cool isochorically and thermal instabilities do not operate. On the other hand, intermediate size perturbations (<TEX>$M_{min} < M_{pgcc} < M_{max}$</TEX>) are compressed supersonically, accompanied by strong accretion shocks. 2) For supersonically collapsing clouds, the density compression factor after they cool to <TEX>$T_c = 10^4$</TEX> K range <TEX>$10^{2.5} - 10^6$</TEX>, while the isobaric compression factor is only <TEX>$10^{2.5}$</TEX>. 3) Isobarically collapsed clouds (<TEX>$M < M_{min}$</TEX>) are too small to be gravitationally bound. For supersonically collapsing clouds, however, the Jeans mass can be reduced to as small as <TEX>$10^{5.5}\;M_{\bigodot}(nh/0.05cm^{-3})^{-1/2}$</TEX> at the maximum compression owing to the increased density compression. 4) The density profile of simulated PGCCs can be approximated by a constant core with a halo of <TEX>$p{\infty} r^{-2}$</TEX> rather than a singular isothermal sphere.