Symplectic coarse graining approach to the dynamics of spherical self-gravitating systems

التفاصيل البيبلوغرافية
العنوان: Symplectic coarse graining approach to the dynamics of spherical self-gravitating systems
المؤلفون: Barbieri, Luca, Di Cintio, Pierfrancesco, Giachetti, Guido, Simon-Petit, Alicia, Casetti, Lapo
سنة النشر: 2021
المجموعة: Astrophysics
Condensed Matter
مصطلحات موضوعية: Astrophysics - Astrophysics of Galaxies, Condensed Matter - Statistical Mechanics
الوصف: We investigate the evolution of the phase-space distribution function around slightly perturbed stationary states and the process of violent relaxation in the context of the dissipationless collapse of an isolated spherical self-gravitating system. By means of the recently introduced symplectic coarse graining technique, we obtain an effective evolution equation that allows us to compute the scaling of the frequencies around a stationary state, as well as the damping times of Fourier modes of the distribution function, with the magnitude of the Fourier $k-$vectors themselves. We compare our analytical results with $N$-body simulations.
Comment: 17 pages 7 figures. Version accepted for publication in MNRAS
نوع الوثيقة: Working Paper
DOI: 10.1093/mnras/stac477
URL الوصول: http://arxiv.org/abs/2112.10709
رقم الأكسشن: edsarx.2112.10709
قاعدة البيانات: arXiv