# 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…

## 10 Citations

The statistical theory of self-gravitating collisionless dark matter flow and the correlation, structure, and dispersion functions for velocity, density, and potential fields

- Physics
- 2022

Understanding velocity field of self-gravitating collisionless dark matter flow (SG-CFD) is important for the formation and dynamics of largeand small-scale structures, where N-body simulation is an…

The evolution of energy, momentum, and spin parameter in self-gravitating collisionless dark matter flow and integral constants on large and small scales

- Physics
- 2022

The evolution of energy, momentum, and spin parameter in self-gravitating collisionless dark matter flow and integral constants on large and small scales Zhijie Xu1,a 1. Computational Mathematics…

The statistical theory of self-gravitating collisionless dark matter flow and high order kinematic and dynamic relations for velocity correlations on small and large scales

- Physics
- 2022

The statistics of peculiar velocity is useful to probe large scale structure formation and important for detection experiment. However, statistical theory for self-gravitating collisionless dark…

Mass functions of dark matter halos from maximum entropy distributions for self-gravitating collisionless flow

- Physics
- 2021

The halo-mediated inverse mass cascade is a key feature of the intermediate statistically steady state for self-gravitating collisionless flow (SG-CFD). A broad spectrum of halos and halo groups are…

The baryonic-to-halo mass relation from mass and energy cascade in self-gravitating collisionless dark matter flow

- Physics
- 2022

The relation between properties of galaxies and dark matter (DM) halos they reside in can be valuable to understand the structure formation and evolution. In particular, the baryonic-to-halo mass…

The origin of MOND acceleration and deep-MOND behavior from mass and energy cascade in dark matter flow

- Physics
- 2022

The MOND paradigm is an empirically motivated theory with modified gravity to reproduce many astronomical observations without invoking the dark matter hypothesis. Instead of falsifying the existence…

The mean flow, velocity dispersion, and evolution of rotating and growing dark matter halos and their effects on the energy transfer in self-gravitating collisionless flow

- Physics
- 2022

The mean flow and velocity dispersions are studied for axisymmetric rotating and growing halos in spherical coordinate. The polar flow can be neglected, and azimuthal flow is directly related to…

Inverse and direct cascade of kinetic and potential energy for self-gravitating collisionless dark matter flow and effects of halo shape on energy cascade

- Physics
- 2021

Halo-mediated inverse mass cascade and associated energy cascade are key features to understand self-gravitating collisionless dark matter flow (SG-CFD). This paper formulates the energy cascade that…

Postulating dark matter particle mass and properties from two-thirds law for self-gravitating collisionless dark matter flow

- Physics
- 2022

Dark matter can be characterized by the mass and size of its smallest constituents, which are challenging to be directly probed and detected. We present a new approach to predict the mass and…

Two-thirds law for pairwise velocity and origin of critical MOND acceleration from distributions of density, velocity, and acceleration in dark matter flow

- Physics
- 2022

The statistics of density, velocity, and acceleration plays an essential role for probing large scale structure formation and direct/indirect detection experiments. In this paper, the scale and…

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