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There is much debate about the channels for astrophysical origins of thestellar-mass binary black hole (BBH) mergers detected by LIGO and Virgo. Activegalactic nuclei (AGNs) are promising sites for the efficient formation andrapid mergers of BBHs due to migration traps in high-density gas disks withinan inner radii. In this paper, we carry out Monte Carlo simulations to explorethe mass properties of mergers over time and hierarchical mergers -- with oneof the black holes (BHs) being the remnant of a previous merger. We find thatthe predicted merger rate is $\sim 27-37~{\rm Gpc^{-3}~yr^{-1}}$ and thedetection rate of LIGO/Virgo accompanying with extreme mass-ratio mergers willincrease in the late stage of AGNs. The fraction of hierarchical mergers is$\sim 24\%$, and its mass-ratio peak is $\sim 0.15-0.35$. Compared with thelow-generation mergers in hierarchical mergers, the mass ratio ofhigh-generation mergers has a flatter distribution around its peak. Thesereveal that the BBH mergers detected by LIGO/Virgo with the extreme mass ratioor heavy component masses can be well explained in AGN channel.

Time-dependent stellar-mass binary black hole mergers in AGN disks: Mass distribution of hierarchical mergers