A comparative study of Dark matter flow &amp; hydrodynamic turbulence and its applications
Creators: name: Xu, Zhijie (Jay)
Publisher: name: Zenodo
Year: 2022
Subjects: Cosmology
dark matter
turbulence
simulation
astronomy
astrophysics
dark matter halo
correlation
statistical analysis
self-gravitating
collisionless
N Body

description: Dark matter, if exists, accounts for five times as much as ordinary baryonic matter. Therefore, dark matter flow might possess the widest presence in our universe. The other form of flow, hydrodynamic turbulence in air and water, is without doubt the most familiar flow in our daily life. During the pandemic, we have found time to think about and put together a systematic comparison for the similarities and differences between two types of flow, both of which are typical non-equilibrium systems. The goal of this presentation is to leverage this comparison for a better understanding of the nature and properties of dark matter and its flow behavior on all scales. Applications of cascade and statistical theory for dark matter and bulge-SMBH evolution: Dark matter particle mass ,size, and properties from energy cascade in dark matter flow: 1) arxiv 2) zenodo slides Origin of MOND acceleration &amp; deep-MOND from acceleration fluctuation &amp; energy cascade: 1) arxiv 2) zenodo slides The baryonic-to-halo mass relation from mass and energy cascade in dark matter flow: 1) arxiv 2) zenodo slides Universal scaling laws and density slope for dark matter haloes: 1) arxiv 2) zenodo slides 3) paper Dark matter halo mass functions and density profiles from mass/energy cascade: 1) arxiv 2) zenodo slides 3) paper Energy cascade for distribution and evolution of supermassive black holes (SMBHs): 2) zenodo slides Condensed slides for all applications "Cascade Theory for Turbulence, Dark Matter, and bulge-SMBH evolution " The two relevant datasets and accompanying presentation can be found at: Dark matter flow dataset Part I: Halo-based statistics from cosmological N-body simulation Dark matter flow dataset Part II: Correlation-based statistics from cosmological N-body simulation. A comparative study of Dark matter flow &amp; hydrodynamic turbulence and its applications The same dataset also available on Github at: Github: dark_matter_flow_dataset and zenodo at: Dark matter flow dataset from cosmological N-body simulation. Cascade and statistical theory developed by these datasets: Inverse mass cascade in dark matter flow and effects on halo mass functions: 1) arxiv 2) zenodo slides Inverse mass cascade and effects on halo deformation, energy, size, and density profiles: 1) arxiv 2) zenodo slides Inverse energy cascade in dark matter flow and effects of halo shape: 1) arxiv 2) zenodo slides The mean flow, velocity dispersion, energy transfer and evolution of dark matter halos: 1) arxiv 2) zenodo slides Two-body collapse model and generalized stable clustering hypothesis for pairwise velocity 1) arxiv 2) zenodo slides Energy, momentum, spin parameter in dark matter flow and integral constants of motion: 1) arxiv 2) zenodo slides Maximum entropy distributions of dark matter in ΛCDM cosmology: 1) arxiv 2) zenodo slides 3) paper Halo mass functions from maximum entropy distributions in dark matter flow: 1) arxiv 2) zenodo slides On the statistical theory of self-gravitating collisionless dark matter flow: 1) arxiv 2) zenodo slides 3) paper High order kinematic and dynamic relations for velocity correlations in dark matter flow: 1) arxiv 2) zenodo slides Evolution of density and velocity distributions and two-thirds law for pairwise velocity: 1) arxiv 2) zenodo slides