Stellar and gas dynamical model for tidal disruption events in a quiescent galaxy

Abstract

A detailed model of the tidal disruption events (TDEs) has been constructed using stellar dynamical and gas dynamical inputs that include black hole (BH) mass $M_{\bullet }$, specific orbital energy $E$ and angular momentum $J$, star mass $M_{\star }$ and radius $R_{\star }$, and the pericenter of the star orbit $r_p(E,J,M_{\bullet })$. We solved the steady state Fokker--Planck equation using the standard loss cone theory for the galactic density profile $\rho (r)\propto r^{-\gamma }$ and stellar mass function $\xi (m)$ where $m=M_{\star }/M_{\odot }$ and obtained the feeding rate of stars to the BH integrated over the phase space as ${\dot{N}}_t\propto M_{\bullet }^{\beta }$, where $\beta =-0.3\pm 0.01$ for $M_{\bullet }>10^7{M}_{\odot }$ and $\sim 6.8\times 10^{-5}$ Yr${}^{-1}$ for $\gamma =0.7$. We use this to model the in-fall rate of the disrupted debris, $\dot{M}(E,J,m,t)$, and discuss the conditions for the disk formation, finding that the accretion disk is almost always formed for the fiduciary range of the physical parameters. We also find the conditions under which the disk formed from the tidal debris of a given star with a super Eddington accretion phase. We have simulated the light curve profiles in the relevant optical g band and soft X-rays for both super and sub-Eddington accretion disks as a function of $\dot{M}(E,J,t)$. Using this, standard cosmological parameters, and mission instrument details, we predict the detectable TDE rates for various forthcoming surveys finally as a function of $\gamma$.

arXiv comment56 pages; 22 Figures, Accepted in the Astrophysical Journal, updated paper includes proof corrections

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• The Prospects of Finding Tidal Disruption Events with 2.5-Metre Wide-Field Survey Telescope (WFST) Based on Mock Observations
• The population of tidal disruption events discovered with eROSITA
• Tidal disruption events from massive black hole binaries: predictions for ongoing and future surveys
• High-resolution VLBI observations of and modelling the radio emission from the TDE AT2019dsg
• Tidal disruption rates in non-spherical galactic nuclei formed by galaxy mergers
• Probing the tidal disruption event iPTF16axa with CLOUDY and disc-wind models
• Relativistic accretion disc in tidal disruption events
• Dynamics of accretion and winds in tidal disruption events
• Cosmic spin and mass evolution of black holes and its impact
• Disk-corona modeling for spectral index and luminosity correlation of tidal disruption events
• Black hole demographics from TDE modeling