Work

Semianalytical Fokker–Planck Models for Nuclear Star Clusters

Year: 2025
Type: article
Abstract: We study the dynamics of nuclear star clusters, the dense stellar environments surrounding massive black holes in the centers of galaxies. We consider angular momentum diffusion due to two-body scatterings among stellar objects and energy advection due to gravitational-wave emission upon interaction with the central massive black hole. Such dynamics are described by a 2D Fokker–Planck (FP) equation in energy–angular momentum space. Focusing on the transition between the diffusion-dominated region and the advection-dominated one, we utilize self-similarity to obtain a full solution for the steady-state FP equation. This solution provides the density and flux of the stellar objects in nuclear star clusters. This improves the rate estimates for extreme-mass ratio inspirals, and has interesting implications for a new class of galactic center transients called quasiperiodic eruptions.
Language: English
Open Access status: gold
Estimated APC paid: $4,499
OpenAlex ID: W4407342985
FWCI: 2.719
Cites: 90
Cited by: 7
Related to: 10