Abstract
Star formation in high-redshift dwarf galaxies is a key to understand early
galaxy evolution in the early Universe. Using the three-dimensional
hydrodynamics code GIZMO, we study the formation mechanism of cold,
high-density gas clouds in interacting dwarf galaxies with halo masses of $\sim
3 10^7~M_ødot$, which are likely to be the formation sites of early
star clusters. Our simulations can resolve both the structure of interstellar
medium on small scales of $0.1$ pc and the galactic disk
simultaneously. We find that the cold gas clouds form in the post-shock region
via thermal instability due to metal-line cooling, when the cooling time is
shorter than the galactic dynamical time. The mass function of cold clouds
shows almost a power-law initially with an upper limit of thermally unstable
scale. We find that some clouds merge into more massive ones with $\gtrsim
10^4~M_ødot$ within $2~Myr$. Only the massive cold clouds with
$10^3~M_ødot$ can keep collapsing due to gravitational
instability, resulting in the formation of star clusters. In addition, we
investigate the dependence of cloud mass function on metallicity and $\rm
H_2$ abundance, and show that the cases with low metallicities ($łesssim
10^-2~Z_ødot$) or high $H_2$ abundance ($10^-3$) cannot
form massive cold clouds with $10^3~M_ødot$.
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