The growth of intermediate mass black holes through tidal captures and tidal disruption events

We present $N\mathrm{-body} $ simulations, including post-Newtonian dynamics, of dense clusters low-mass stars harbouring central black holes (BHs) with initial masses 50, 300, and 2000 $\mathrm{M_{\odot}}$. The models are evolved the code \textsc{bifrost} to investigate possible formation growth massive BHs by tidal capture disruption events (TDEs). model star-BH interactions using a velocity-dependent drag force, which causes orbital energy angular momentum loss near BH. About $\sim 20-30$ per cent within spheres influence form Bahcall-Wolf cusps prevent systems from core collapse. Within first 40 Myr evolution, experience 500 up 1300 TDEs, depending on cluster structure. Most ($> 95$ cent) TDEs originate in cusp. derive an analytical formula for TDE rate as function BH mass, density velocity dispersion ($\dot{N}_{\mathrm{TDE}} \propto M\mathrm{_{BH}} \rho \sigma^{-3}$). find that can lead 300 $\mathrm{M_{\odot}}$ reach 7000 \mathrm{M_{\odot}}$ Gyr. This indicates drive sufficiently environments, might be regions nuclear star clusters.