• Corpus ID: 238634186

A non-radial two-body collapse model (TBCM) for gravitational collapse of dark matter in expanding background and generalized stable clustering hypothesis (GSCP)

@inproceedings{Xu2021ANT,
  title={A non-radial two-body collapse model (TBCM) for gravitational collapse of dark matter in expanding background and generalized stable clustering hypothesis (GSCP)},
  author={Zhijie Xu},
  year={2021}
}
Analytical tools are valuable to study the self-gravitating collisionless flow in expanding background (SG-CFD). However, it is extremely hard to find analytical solutions for highly nonlinear structure formation. Only a few simple but powerful tools exist so far. Two examples are the spherical collapse model (SCM) and stable clustering hypothesis (SCH). This paper presents another analytical tool based on an elementary step of halo mass accretion/cascade, i.e. a two-body collapse model (TBCM… 

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References

SHOWING 1-10 OF 17 REFERENCES
Inverse mass cascade of self-gravitating collisionless flow and effects on halo deformation, energy, size, and density profiles
The inverse mass cascade is a key feature of the intermediate statistically steady state of selfgravitating collisionless flow (SG-CFD). Mass cascade is local, two-way, and asymmetric in mass space.
The maximum entropy distributions of collisionless particle velocity, speed, and energy for statistical mechanics of self-gravitating collisionless flow (SG-CFD)
The halo-mediated inverse mass cascade is a key feature of the intermediate statistically steady state for self-gravitating collisionless flow (SG-CFD). How the inverse mass cascade maximizes the
Inverse mass cascade of self-gravitating collisionless flow and effects on halo mass functions
This paper proposes the inverse mass cascade for the statistically steady state of self-gravitating collisionless flow (SG-CFD). The continuous mass transfer from small to large mass scales (inverse
Self-similar secondary infall and accretion in an Einstein-de Sitter universe
Similarity solutions have been found for secondary infall and accretion onto an initially overdense perturbation in an Einstein--de Sitter (..cap omega.. = 1) universe. After the initial collapse of
Statistical Mechanics of Violent Relaxation in Stellar Systems
We discuss the statistical mechanics of violent relaxation in stellar systems following the pioneering work of (1967). The solutions of the gravitational Vlasov-Poisson system develop finer and finer
On the integration of the BBGKY equations for the development of strongly nonlinear clustering in an expanding universe
The evolution of density correlations in an expanding universe can be described by the BBGKY equations. This approach has been the subject of several previous studies, but always under the assumption
Self-similar spherical collapse with non-radial motions
We derive the asymptotic mass profile near the collapse center of an initial spherical density perturbation, $\delta \propto M^{-\epsilon}$, of collision-less particles with non-radial motions. We
Self-similar gravitational collapse in an expanding universe
We derive similarity solutions which describe the collapse of cold, collisionless matter in a perturbed Einstein-de Sitter universe. We obtain three classes of solutions, one each with planar,
Modifying two-body relaxation in N-body systems by gas accretion
We consider the effects that accretion from the interstellar medium onto the particles of an N-body system has on the rate of two-body relaxation. To this end, we derive an accretion-modified
Models for Galaxy halos in an open universe
The properties of simple, self-consistent infall models which embed an 'isothermal' dark halo in an open universe are presented. These models depend on one scaling parameter and two shape parameters.
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