Thermal equilibrium of an ideal gas in a free-floating box
American Journal of Physics AIP Publishing 89:8 (2021) 789-792
Abstract:
The equilibrium and fluctuations of an ideal gas in a rigid container are studied by every student of statistical mechanics. Here, we examine the less well-known case when the box is floating freely; in particular, we determine the fluctuations of the box in velocity and position due to interactions with the gas it contains. This system is a toy model for the fluctuations in velocity and position of a black hole surrounded by stars at the center of a galaxy. These fluctuations may be observable in nearby galaxies.High eccentricities and high masses characterize gravitational-wave captures in galactic nuclei as seen by Earth-based detectors
Monthly Notices of the Royal Astronomical Society Oxford University Press 506:2 (2021) 1665-1696
Abstract:
The emission of gravitational waves (GWs) during single-single close encounters in galactic nuclei (GNs) leads to the formation and rapid merger of highly eccentric stellar-mass black hole (BH) binaries. The distinct distribution of physical parameters makes it possible to statistically distinguish this source population from others. Previous studies determined the expected binary parameter distribution for this source population in single GNs. Here, we take into account the effects of dynamical friction, post-Newtonian corrections, and observational bias to determine the detected sources' parameter distributions from all GNs in the Universe. We find that the total binary mass distribution of detected mergers is strongly tilted towards higher masses. The distribution of initial peak GW frequency is remarkably high between 1 and 70 Hz, ~50 per cent of GW capture sources form above 10 Hz with e ≥ 0.95. The eccentricity when first entering the LIGO/Virgo/KAGRA band satisfies e10 Hz > 0.1 for over 92 per cent of sources and e10 Hz > 0.8 for more than half of the sources. At the point when the pericentre reaches 10GM/c2 the eccentricity satisfies e10M > 0.1 for over ~70 per cent of the sources, making single-single GWcapture events in GNs the most eccentric source population among the currently known stellar-mass binary BH merger channels in our Universe. We identify correlations between total mass, mass ratio, source detection distance, and eccentricities e10 Hz and e10M. The recently measured source parameters of GW190521 lie close to the peak of the theoretical distributions and the estimated escape speed of the host environment is ~7.5 × 103-1.2 × 104 km s-1, making this source a candidate for this astrophysical merger channel.A Canonical Transformation to Eliminate Resonant Perturbations. I.
American Astronomical Society 162:1 (2021) 22
Mass-gap mergers in active galactic nuclei
Astrophysical Journal American Astronomical Society 908:2 (2021) 194
Abstract:
The recently discovered gravitational wave sources GW190521 and GW190814 have shown evidence of BH mergers with masses and spins outside of the range expected from isolated stellar evolution. These merging objects could have undergone previous mergers. Such hierarchical mergers are predicted to be frequent in active galactic nuclei (AGNs) disks, where binaries form and evolve efficiently by dynamical interactions and gaseous dissipation. Here we compare the properties of these observed events to the theoretical models of mergers in AGN disks, which are obtained by performing one-dimensional N-body simulations combined with semi-analytical prescriptions. The high BH masses in GW190521 are consistent with mergers of high-generation (high-g) BHs where the initial progenitor stars had high metallicity, 2g BHs if the original progenitors were metal-poor, or 1g BHs that had gained mass via super-Eddington accretion. Other measured properties related to spin parameters in GW190521 are also consistent with mergers in AGN disks. Furthermore, mergers in the lower mass gap or those with low mass ratio as found in GW190814 and GW190412 are also reproduced by mergers of 2g–1g or 1g–1g objects with significant accretion in AGN disks. Finally, due to gas accretion, the massive neutron star merger reported in GW190425 can be produced in an AGN disk.Eccentric black hole mergers in active galactic nuclei
Astrophysical Journal Letters IOP Publishing 907:1 (2021) L20