The $\nu^2$GC Simulations : Quantifying the Dark Side of the Universe in
  the Planck Cosmology
  We present the evolution of dark matter halos in six large cosmological
N-body simulations, called the $\nu^2$GC (New Numerical Galaxy Catalog)
simulations on the basis of the LCDM cosmology consistent with observational
results obtained by the Planck satellite. The largest simulation consists of
$8192^3$ (550 billion) dark matter particles in a box of $1.12 \, h^{-1} \rm
Gpc$ (a mass resolution of $2.20 \times 10^{8} \, h^{-1} M_{\odot}$). Among
simulations utilizing boxes larger than $1 \, h^{-1} \rm Gpc$, our simulation
yields the highest resolution simulation that has ever been achieved. A
$\nu^2$GC simulation with the smallest box consists of eight billions particles
in a box of $70 \, h^{-1} \rm Mpc$ (a mass resolution of $3.44 \times 10^{6} \,
h^{-1} M_{\odot}$). These simulations can follow the evolution of halos over
masses of eight orders of magnitude, from small dwarf galaxies to massive
clusters. Using the unprecedentedly high resolution and powerful statistics of
the $\nu^2$GC simulations, we provide statistical results of the halo mass
function, mass accretion rate, formation redshift, and merger statistics, and
present accurate fitting functions for the Planck cosmology. By combining the
$\nu^2$GC simulations with our new semi-analytic galaxy formation model, we are
able to prepare mock catalogs of galaxies and active galactic nuclei, which
will be made publicly available in the near future.
