Dark matter flow dataset from cosmological N-body simulations

Dark matter (DM), if exists, is believed to be cold, collisionless, dissipationless, non-baryonic, barely interacting with baryonic matter except through gravity, and sufficiently smooth on large scales with a fluid-like behavior. The flow of dark matter can be best described by a self-gravitating collisionless fluid dynamics (SG-CFD). The statistics of dark matter density, velocity, acceleration, energy, momentum, and their redshift evolution play essential roles for structure formation and evolution. These information can be systematically extracted from cosmological N-body simulations by either i) a structural (halo-based) or ii) a statistical (correlation-based) approach and presented by two individual datasets.

Please see two README files for each dataset for more information on each data. The same dataset is also available at Zenodo.com

Xu Z., 2022a, Dark matter flow dataset Part I: Halo-based statistics from cosmological N-body simulation, doi:10.5281/zenodo.6541230, http://dx.doi.org/10.5281/zenodo.6541230

Xu Z., 2022b, Dark matter flow dataset Part II: Correlation-based statistics from cosmological N-body simulation, doi:10.5281/zenodo.6569898, http://dx.doi.org/10.5281/zenodo.6569898

Xu Z., 2022c, A comparative study of dark matter flow & hydrodynamic turbulence and its applications, doi:10.5281/zenodo.6569901, http://dx.doi.org/10.5281/zenodo.6569901

The dark matter flow theory developed with this dataset including:

1. Inverse mass cascade in dark matter flow and effects on halo mass functions
2. Inverse mass cascade in dark matter flow and effects on halo deformation, energy, size, and density profiles
3. Inverse energy cascade in self-gravitating collisionless dark matter flow and effects of halo shape
4. The mean flow, velocity dispersion, energy transfer and evolution of rotating and growing dark matter halos
5. Two-body collapse model for gravitational collapse of dark matter and generalized stable clustering hypothesis for pairwise velocity
6. Evolution of energy, momentum, spin parameter in dark matter flow and integral constants of motion
7. The maximum entropy distributions of velocity, speed, and energy from statistical mechanics of dark matter flow
8. Halo mass functions from maximum entropy distributions in self-gravitating collisionless dark matter flow
9. The statistical theory of dark matter flow for velocity, density, and potential fields
10. The statistical theory of dark matter flow and high order kinematic and dynamic relations for velocity correlations
11. The scale and redshift variation of density and velocity distributions in dark matter flow and two-thirds law for pairwise velocity

along with three applications of theory:

12. Dark matter particle mass and properties from two-thirds law and energy cascade in dark matter flow
13. Origin of MOND acceleration and deep-MOND from acceleration fluctuation and energy cascade in dark matter flow
14. The baryonic-to-halo mass relation from mass and energy cascade in dark matter flow