Mathematics – Logic
Scientific paper
Jul 2010
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010acasn..51..326c&link_type=abstract
Acta Astronomica Sinica, vol. 51, no.3, p. 326-328
Mathematics
Logic
Galaxies: Nuclei, Galaxies: Active, Quasars: General, Galaxies: Star Formation
Scientific paper
A scenario of co-evolution of supermassive black holes (SMBHs) and galaxies has been clearly conducted by the important evidence from observational results of quasar host galaxies and the relation between spheroid and SMBH mass. There are a plenty of unresolved problems and questions, some being basic, to be addressed in this scenario. The main goal of the present thesis is focusing on the mysterious scenario including growth of primordial black holes, cosmological evolution of spins and duty cycle of SMBHs, and interaction between the SMBH activity and star formation in galaxies from low to high redshifts. We review the main progress of this field over the past decade since the discovery of Magorrian relation and present comments on some questions in light of our view of points. The key questions to be addressed in this thesis work are: (1) how does the fast growth of primordial black holes influence their evolution? (2) what is the equation to describe the co-evolution of SMBHs and galaxies? (3) what is the mechanism to control the co-evolution? (4) how to transport the fueling gas from kpc scale to the center? It has been suggested that fast growth of primordial black holes via super-Eddington accretion is a promising way to form SMBHs in high redshift universe. Neutrino cooling has been employed and expedites the growth. We consider the Compton heating of the surroundings of the primordial black holes. We find that the realistic accretion rate is only a few percent of the Eddington rate, and the accretion is episodic. It implies that the fast growth via super-Eddington is not feasible. These conclusions have been confirmed by the detailed numerical simulations of Milosavljevic et al. (2008). The difficulties of the fast growth via accretion of baryon particles make the formation of SMBHs elusive in high redshift universe. We developed a new formulation to calculate the duty cycle of SMBHs based on the Soltan argument. We show it can be expressed by the mass density ratio of active SMBHs to the total. This not only makes the calculation of the duty cycle independent of the assumption of cosmological evolution of Eddington ratios, but also allows us to set a totally new equation - the so-called η-equation to describe the co-evolution of SMBHs and galaxies. Applying the equations to SDSS (Sloan Digital Sky Survey) and other related survey data, we find that: (1) cosmological evolution of the duty cycle tightly follows the history of star formation rate (SFR) density in z<2 universe; (2) they just show opposite trends in higher redshift universe; (3) the radiative efficiency dramatically decreases with z, showing η≈0.3 at z =2 and down to η≈0.05 at z =0. It shows for the first time a history of random accretion of SMBH growth from high to low redshift universe. Chapter 3 is devoted to develop a new method to estimate the specific star formation rates (SSFR) for DEEP2 data. Using the series of Balmer absorption lines in rest-frame 3750~4150 Å, we develop a new method to estimate the SSFR. Applying this new method to both SDSS and DEEP2 data, we find the SSFR derived from Balmer absorption lines is consistent with that from emission lines at local universe, while there is a 100.3~100.4 discrepancy at z&≈1. This result implies the initial mass function changes with redshift, and it tends to form more massive stars at higher redshift. We pay much attention to the interaction between AGN and star formation in Chapter 4 through investigations of the Seyfert galaxies and type II AGNs. We obtain the SFR in about 50 Seyfert galaxies and compare with the SFR predicted by Kennicutt-Schmidt's law. We find that they are lower than the predicted by a factor of 10~100, clearly showing the evidence of suppressing the star formation in the 100 pc region around nuclei. 10848 type II AGNs are selected from SDSS data for the study of starburst and AGN connection. We find the young stars are playing an important role in triggering SMBH activities. A very tight correlation Λ≅SSFR1.5 between the Eddington ratio λ and SSFR has been found in the sample. This nonlinear relation stresses the role of supernova explosion, which could excite strong turbulent viscosity to transport the angular momentum of the fueling gas to the SMBHs. We set up a modified model by including the role of supernova explosion to account for the starburst-AGN connection. Indeed, we find that the model can be nicely consistent with the correlation. In this thesis, we demonstrate a self-adjusted system of galaxies and SMBHs - the SMBHs are triggered via star formation, which would get suppressed by SMBH activities. As a summary of the present thesis, we draw a conclusion that we poorly understand the issues as to formation of SMBHs, evolution of galaxies and SMBHs. There are a plenty of issues to be addressed in future. The solved questions are much less than the bringing out ones.
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