Volume 566, June 2014
|Number of page(s)||9|
|Section||Galactic structure, stellar clusters and populations|
|Published online||11 June 2014|
Numerical self-consistent distribution function of flattened ring models
Centro de Ciências Naturais e Humanas, Universidade Federal do
e-mail: email@example.com; firstname.lastname@example.org; email@example.com
Accepted: 31 March 2014
We provide numerical, self-consistent distribution functions for several flat ring models by simultaneously solving the Fokker-Planck equation and the Poisson equation. In particular, we calculated the distribution function of flat ring systems formed by superposing Kuzmin-Toomre disc solutions and an analytic homogeneous ring solution in terms of complete elliptic integrals. We used these geometrical disc solutions, together with physical parameters, to model more realistic physical systems. Moreover, we defined a cutoff radius to handle the infinite Kuzmin-Toomre disc families numerically. The Fokker-Planck equation is solved by a direct numerical method using the finite difference method, the left conjugate direction algorithm, and a simple boundary condition that allows us to find good results for a large set of physical parameters and for values of the collision term of the same order of magnitude (or larger) when compared with the other terms in the Fokker-Planck equation. The collision term of the Fokker-Planck equation is explicitly calculated by applying the known Rosenbluth potentials for gravitational encounters. Limitations of the method are also discussed.
Key words: galaxies: kinematics and dynamics / methods: numerical
© ESO, 2014
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.