Testing the Detection Significance on the Large Scale Structure by a
  JWST Deep Field Survey
  In preparation for deep extragalactic imaging with the James Webb Space
Telescope, we explore the clustering of massive halos at $z=8$ and $10$ using a
large N-body simulation. We find that halos with masses $10^9$ to $10^{11}$
$h^{-1}\;M_\odot$, which are those expected to host galaxies detectable with
JWST, are highly clustered with bias factors ranging from 5 and 30 depending
strongly on mass, as well as on redshift and scale. This results in correlation
lengths of 5--10$h^{-1}\;{\rm Mpc}$, similar to that of today's galaxies. Our
results are based on a simulation of 130 billion particles in a box of
$250h^{-1}\;{\rm Mpc}$ size using our new high-accuracy ABACUS simulation code,
the corrections to cosmological initial conditions of (Garrison et al. 2016,
2016MNRAS.461.4125G), and the Planck 2015 cosmology. We use variations between
sub-volumes to estimate the detectability of the clustering. Because of the
very strong inter-halo clustering, we find that surveys of order
25$h^{-1}\;{\rm Mpc}$ comoving transverse size may be able to detect the
clustering of $z=8$--$10$ galaxies with only 500-1000 survey objects if the
galaxies indeed occupy the most massive dark matter halos.
