Taming the plunge: A circularization trap of supermassive black hole binaries

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Main Authors: Seoane, Pau Amaro, Battisti, Alessandra Mastrobuono, Omarov, Chingis, Yurin, Denis, Makukov, Maxim, Kuvatova, Dana, Omarova, Gulnara, Gluchshenko, Anton
Format: Preprint
Published: 2025
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author Seoane, Pau Amaro
Battisti, Alessandra Mastrobuono
Omarov, Chingis
Yurin, Denis
Makukov, Maxim
Kuvatova, Dana
Omarova, Gulnara
Gluchshenko, Anton
author_facet Seoane, Pau Amaro
Battisti, Alessandra Mastrobuono
Omarov, Chingis
Yurin, Denis
Makukov, Maxim
Kuvatova, Dana
Omarova, Gulnara
Gluchshenko, Anton
contents We investigate the orbital eccentricity evolution of supermassive black hole binaries within galactic environments. We analyze the dynamics in triaxial merger remnants and subsequent interactions with geometrically thick nuclear discs. We confirm that gravitational torques in triaxial potentials efficiently extract angular momentum, resulting in binary formation with high initial eccentricities. We then analyze the binary-disc interaction using a 3D analytical framework incorporating the Airy formalism and potential softening. We present a self-consistent derivation demonstrating that the 3D suppression of high-order torques leads to distinct scalings with disc thickness ($h$): migration rates $τ_a^{-1} \propto h^{-3}$ and eccentricity damping rates $τ_e^{-1} \propto h^{-5}$. This establishes a timescale hierarchy, $τ_e/τ_a \propto h^2$. For typical parameters ($h\approx 0.2$), eccentricity damping is significantly faster than orbital decay ($τ_e \approx 0.04 \, τ_a$). We further develop a wavelet-based formalism to quantify the impact of disc inhomogeneities arising from accretion feedback and turbulence. We derive the stochastic torque variance in the wavelet domain and employ a Fokker-Planck analysis to determine the equilibrium eccentricity distribution. While stochastic fluctuations counteract deterministic damping, the strong damping imposed by the thick disc geometry ensures the equilibrium eccentricity remains small unless the fluctuations are highly non-linear. Hence, even if born highly eccentric, SMBHBs are rapidly circularized. This circularization trap forces binaries to approach the gravitational wave-dominated regime on nearly circular orbits, prolonging the total merger timescale. This introduces a substantial cosmological delay governed by stellar relaxation, which impacts detection rates and the modeling of SMBH assembly in cosmological frameworks.
format Preprint
id arxiv_https___arxiv_org_abs_2510_15033
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Taming the plunge: A circularization trap of supermassive black hole binaries
Seoane, Pau Amaro
Battisti, Alessandra Mastrobuono
Omarov, Chingis
Yurin, Denis
Makukov, Maxim
Kuvatova, Dana
Omarova, Gulnara
Gluchshenko, Anton
Astrophysics of Galaxies
General Relativity and Quantum Cosmology
We investigate the orbital eccentricity evolution of supermassive black hole binaries within galactic environments. We analyze the dynamics in triaxial merger remnants and subsequent interactions with geometrically thick nuclear discs. We confirm that gravitational torques in triaxial potentials efficiently extract angular momentum, resulting in binary formation with high initial eccentricities. We then analyze the binary-disc interaction using a 3D analytical framework incorporating the Airy formalism and potential softening. We present a self-consistent derivation demonstrating that the 3D suppression of high-order torques leads to distinct scalings with disc thickness ($h$): migration rates $τ_a^{-1} \propto h^{-3}$ and eccentricity damping rates $τ_e^{-1} \propto h^{-5}$. This establishes a timescale hierarchy, $τ_e/τ_a \propto h^2$. For typical parameters ($h\approx 0.2$), eccentricity damping is significantly faster than orbital decay ($τ_e \approx 0.04 \, τ_a$). We further develop a wavelet-based formalism to quantify the impact of disc inhomogeneities arising from accretion feedback and turbulence. We derive the stochastic torque variance in the wavelet domain and employ a Fokker-Planck analysis to determine the equilibrium eccentricity distribution. While stochastic fluctuations counteract deterministic damping, the strong damping imposed by the thick disc geometry ensures the equilibrium eccentricity remains small unless the fluctuations are highly non-linear. Hence, even if born highly eccentric, SMBHBs are rapidly circularized. This circularization trap forces binaries to approach the gravitational wave-dominated regime on nearly circular orbits, prolonging the total merger timescale. This introduces a substantial cosmological delay governed by stellar relaxation, which impacts detection rates and the modeling of SMBH assembly in cosmological frameworks.
title Taming the plunge: A circularization trap of supermassive black hole binaries
topic Astrophysics of Galaxies
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2510.15033