Field: Physics incl. High-energy and Astrophysics Session Topic: Virtual Galaxies Speaker: Masao Mori/Senshu University 1. Introduction How a galaxy began its life is one of the greatest mysteries. The recent advances in observational technique allow us to directly observe the universe 10 billion years ago and find bright young objects there. Lyman α emitters1 have been recently discovered at redshifts greater than 3 (2.1109 yr after the Big-Bang) and Lyman break galaxies2 are high-redshift star-forming galaxies with the intense ultraviolet radiation from young stars. In the theoretical view point, galaxy formation is believed to proceed in a ‘bottom up’ manner, starting with the formation of small clumps of gas and stars that then merge hierarchically into giant systems. The gas loses thermal energy by radiative cooling and falls towards the centres of the new galaxies, while supernovae explosion blow gas out. Any realistic model therefore requires a proper treatment of these processes, but hitherto this has been far from satisfactory. Moreover, previous simulations do not give an answer about the relation between distant young objects and present-day galaxies. To explore the evolution of galaxies, the coupling of the dynamics and the chemical evolution through star formation and supernova feedback needs to be treated properly. In particular, it is crucial to resolve accurately the thermalization of the kinetic energy released by multiple supernovae3. Here I report a simulation4 that follows evolution from the earliest stages of galaxy formation through the period of dynamical relaxation, at which point the resulting galaxy is in its final form. 2. Numerical Modeling An ultra-high-resolution (1,0243 grids) hydrodynamic simulation pursues the early evolution of a proto-galaxy as an assemblage of sub-galactic condensations with a mass of 109 M (where M is the solar mass) building up a total mass of 1011 M. The overdensity region of this mass-scale decouples from the cosmic expansion at redshift 7.8 (0.65109 yr after the Big-Bang) at a radius of 53.7 kpc (1 kpc=3,260 light yr), where the initial conditions are set up. The mass of gaseous matter is 1.31010 M initially. The subgalactic condensations are distributed randomly within the galaxy-scale overdensity. Radiative cooling for the gaseous component is calculated using the standard cooling function. Stars are assumed to form in gravitationally unstable cooled regions with the initial mass function, at a rate that is inversely proportional to the local free-fall time. Stars more massive than 8 M explode as supernovae with an explosion energy of 1051 erg, and eject synthesized heavy elements. 3. Simulation Results Figure 1 shows the results for the time sequence of star formation, gas dynamics and chemical enrichment. In the first 108 yr, stars form in high-density peaks within subgalactic condensations and the burst of star formation starts. Then, massive stars in the star forming regions explode as supernovae one after another. The gas in the vicinity of supernovae is quickly enriched with ejected metals. At 3108 yr, Fig.1: Spatial distributions of the stellar density, the gas density, and the oxygen abundance [O/H] = log10(NO/NH)–log10 (NO/NH) where the subscript refers to the Sun, and NO and NH are the number densities of oxygen and hydrogen, respectively. Each simulation box has a physical size of 134 kpc. supernova-driven shocks collide with each other to generate super-bubbles of ~50 kpc and the high density, cooled shells. New stars are born in the enriched gas and subsequent supernovae again eject heavy elements. The hot bubbles expand further by continual supernovae, and the shells sweep up the partially enriched ambient gas. The gas density in dense shells increases owing to the efficient radiative cooling, mainly through collisional excitation of neutral hydrogen. After 5108 yr, the hot bubbles blow out into the intergalactic space. After this stage, the interstellar medium is recycled repeatedly and the mixing of heavy elements is nearly completed. The bubble structures of gas revealed in the simulation (for times < 3108 years) resemble closely high-redshift Lyman α emitters. The Lyman α luminosity of the simulated galaxy perfectly matches that of observed Lyman α emitters. After 109 years, these bodies are dominated by stellar continuum radiation and then resemble the Lyman break galaxies. At this point, the abundance of elements heavier than helium appears to be solar. Furthermore, the long-term dynamical evolution of the model galaxy was studied with an N-body simulation containing one million particles. We found that the assembly of sub-condensations and the virialization of the total system are almost completed in 3109 yr, so that the system achieves a quasi-equilibrium state. The resultant stellar system forms a virialized, spheroidal system. They have a large central concentration that accords well with de Vaucouleurs’ r1/4 profile, which is commonly found in nearby elliptical galaxies5. It is suggested that Lyman break galaxies evolve into elliptical galaxies through purely collisionless dynamical evolution. 4. Conclusion The present simulation, for the first time, revealed how distant young objects are related to the birth of galaxies, and unravelled the missing rink between distant young objects and present-day galaxies. By the comparisons of the simulation results with the observations, it is concluded that Lyman α emitters and Lyman break galaxies correspond to infants of elliptical galaxies, and the on-going, major chemical enrichment phases of elliptical galaxies. References 1. 2. 3. 4. 5. Taniguchi, Y. et al. J. Korean Astron. Soc., 36, 123–144 (2003). Giavalisco, M. Annu. Rev. Astron. Astrophys., 40, 579–641 (2002). Mori, M., Umemura, M. and Ferrara, A. Astrophys. J., 613, L97–L100 (2004). Mori, M. and Umemura, M. Nature, 440, 644–647 (2006). de Vaucouleurs, G. Ann. Astrophys., 11, 247–287 (1948).