Assumption1: dark matter particles have no strong self interaction
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 Assumption1: dark matter particles have NO strong self interaction
 MARs depend on halo mass (acctually on fluctuation amplitude)
 MARs depend on redshift
 Statistically
Assumption1: dark matter particles have NO strong self interaction
1. MARs depend on power index of the initial density fluctuation power spectrum — since structure forms form initial density fluctuation
2. MARs depend on cosmology — since cosmology determines gravity in the expanding background universe
Statistically
It can also predict the evolution of halo structural properties along the main branch of merger trees, thus, one can plot its NFW density profile at any point of its history and then obtain density evolution at any fixed radius.
Van den Bosch 2001 argues that his formula is universal, but the formula is based on MAHs constructed from EPS formalism, which are not consistent with those from simulations as already noticed by himself. Furthermore, actually it’s not universal even for EPS MAHs.
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