Cascade Theory for Turbulence, Dark Matter, and Evolution of Supermassive Black Holes
Creators: name: Xu, Zhijie (Jay)
Publisher: name: Zenodo
Year: 2023
Subjects: cosmology
dark matter
turbulence
astrophysics
energy cascade
mass cascade
correlation functions
supermassive black holes
SMBH-bulge coevolution
Maximum entropy
MOND
scaling laws
halo mass function
halo density profile

description: Cascade phenomenon is ubiquitous in our universe, from turbulence to cosmological flow, both involving multiple temporal/spatial scales. Cascade is a typical state while non-equilibrium system evolving toward the limiting equilibrium. Based on detailed comparison with the energy cascade in turbulence, this work presents the application of cascade theory for some important areas in cosmology and astrophysics. These areas include: 


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 & deep-MOND from acceleration fluctuation & 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 & 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