November 6, 2024

Breaking boundaries: extending the orbit averaged Fokker-Planck equation inside the loss cone

Broggi, Luca In this Letter, we present a new formulation of loss cone theory as a reaction-diffusion system, which accounts for loss cone events through a sink term and can be orbit-averaged. It can recover the standard approach based on boundary conditions, and is derived from a simple physical model that overcomes many of the classical theoretical constraints. We test our formulation by computing the relaxed distribution of disruptive orbits in phase space, that has a simple analytic form and agrees with the pericentre of tidal disruption events at disruption predicted by non-averaged models.

September 13, 2024

Hanging on the cliff: EMRI formation with local two-body relaxation and post-Newtonian dynamics

Mancieri, Davide; Broggi, Luca; Bonetti, Matteo; Sesana, Alberto Extreme mass ratio inspirals (EMRIs) are anticipated to be primary gravitational wave sources for the Laser Interferometer Space Antenna (LISA). They form in dense nuclear clusters, when a compact object is captured by the central massive black holes (MBHs) as a consequence of the frequent two-body interactions occurring between orbiting objects. The physics of this process is complex and requires detailed statistical modeling of a multi-body relativistic system.

April 10, 2024

Repeating partial disruptions and two-body relaxation

Broggi, Luca; Stone, Nicholas C.; Ryu, Taeho; Bortolas, Elisa; Dotti, Massimo; Bonetti, Matteo; Sesana, Alberto Two-body relaxation may drive stars onto near-radial orbits around a massive black hole, resulting in a tidal disruption event (TDE). In some circumstances, stars are unlikely to undergo a single terminal disruption, but rather to have a sequence of many grazing encounters with the black hole. It has long been unclear what is the physical outcome of this sequence: each of these encounters can only liberate a small amount of stellar mass, but may significantly alter the orbit of the star.