Non-resonant relaxation of rotating globular clusters

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Hauptverfasser: Tep, Kerwann, Fouvry, Jean-Baptiste, Pichon, Christophe
Format: Preprint
Veröffentlicht: 2024
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author Tep, Kerwann
Fouvry, Jean-Baptiste
Pichon, Christophe
author_facet Tep, Kerwann
Fouvry, Jean-Baptiste
Pichon, Christophe
contents The long-term relaxation of rotating, spherically symmetric globular clusters is investigated through an extension of the orbit averaged Chandrasekhar non-resonant formalism. A comparison is made with the long-term evolution of the distribution function in action space, measured from averages of sets of $N$-body simulations up to core collapse. The impact of rotation on in-plane relaxation is found to be weak. In addition, we observe a clear match between theoretical predictions and $N$-body measurements. For the class of rotating models considered, we find no strong gravo-gyro catastrophe accelerating core collapse. Both kinetic theory and simulations predict a reshuffling of orbital inclinations from overpopulated regions to underpopulated ones. This trend accelerates as the amount of rotation is increased. Yet, for orbits closer to the rotational plane, the non-resonant prediction does not reproduce numerical measurements. We argue that this mismatch stems from these orbits' coherent interactions, which are not captured by the non-resonant formalism that only addresses local deflections.
format Preprint
id arxiv_https___arxiv_org_abs_2402_01506
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Non-resonant relaxation of rotating globular clusters
Tep, Kerwann
Fouvry, Jean-Baptiste
Pichon, Christophe
Astrophysics of Galaxies
The long-term relaxation of rotating, spherically symmetric globular clusters is investigated through an extension of the orbit averaged Chandrasekhar non-resonant formalism. A comparison is made with the long-term evolution of the distribution function in action space, measured from averages of sets of $N$-body simulations up to core collapse. The impact of rotation on in-plane relaxation is found to be weak. In addition, we observe a clear match between theoretical predictions and $N$-body measurements. For the class of rotating models considered, we find no strong gravo-gyro catastrophe accelerating core collapse. Both kinetic theory and simulations predict a reshuffling of orbital inclinations from overpopulated regions to underpopulated ones. This trend accelerates as the amount of rotation is increased. Yet, for orbits closer to the rotational plane, the non-resonant prediction does not reproduce numerical measurements. We argue that this mismatch stems from these orbits' coherent interactions, which are not captured by the non-resonant formalism that only addresses local deflections.
title Non-resonant relaxation of rotating globular clusters
topic Astrophysics of Galaxies
url https://arxiv.org/abs/2402.01506