Generalization of the Fokker-Planck equation for stellar orbit diffusion in multi-mass star systems
Astrophysics of Galaxies
2022-12-20 v3
Abstract
We improve the standard theory of collisional stellar systems by considering the presence of a continuous mass distribution. The calculus of the diffusion coefficients is generalized and a new expression of the Fokker-Planck equation is found for multi-mass systems. A King-like distribution function, which validates the basic assumptions of most multi-mass models for Globular Clusters existing in literature, is obtained.
Keywords
Cite
@article{arxiv.2205.10209,
title = {Generalization of the Fokker-Planck equation for stellar orbit diffusion in multi-mass star systems},
author = {Marco Merafina and Matteo Teodori},
journal= {arXiv preprint arXiv:2205.10209},
year = {2022}
}
Comments
14 pages, 2 figures. Submitted to International Journal of Modern Physics D