Astronomy and Astrophysics – Astrophysics
Scientific paper
2001-07-02
A&A (2001), 379, 8
Astronomy and Astrophysics
Astrophysics
13 pages, final version published in A&A
Scientific paper
10.1051/0004-6361:20011309
We develop a systematic method to obtain the solution of the collisionless Boltzmann equation which describes the growth of large-scale structures as a perturbative series over the initial density perturbations. We give an explicit calculation of the second-order terms which are shown to agree with the results obtained from the hydrodynamical description of the system. Then, we explain that this identity extends to all orders of perturbation theory and that the perturbative series actually diverge for hierarchical scenarios. However, since the collisionless Boltzmann equation provides the exact description of the dynamics (including the non-linear regime) these results may serve as a basis for a study of the non-linear regime. In particular, we derive a non-perturbative quadratic integral equation which explicitly relates the actual non-linear distribution function to the initial conditions (more precisely, to the linear growing mode). This allows us to write an explicit path-integral expression for the probability distribution of the exact non-linear density field.
No associations
LandOfFree
Dynamics of gravitational clustering I. Building perturbative expansions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Dynamics of gravitational clustering I. Building perturbative expansions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dynamics of gravitational clustering I. Building perturbative expansions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-286323