Ry. Cen et Jp. Ostriker, A HYDRODYNAMIC TREATMENT OF THE TILTED COLD DARK-MATTER COSMOLOGICAL SCENARIO, The Astrophysical journal, 414(2), 1993, pp. 407-420
The evolution of a Tilted Cold Dark Matter (TCDM) model containing bot
h baryonic matter and dark matter has been computed using our standard
hydrodynamic code coupled with a Particle-Mesh (PM) code to calculate
the motion of collisionless particles. We adopt the parameters n = 0.
7, h = H-0/100 km s-1 Mpc-1 = 0.5, OMEGA = 1.0, and OMEGA(b) = 0.06 wi
th amplitude of the perturbation spectrum fixed by the COBE DMR signal
s on very large scales giving (deltaM/M)rms = sigma8 = 1/b = 0.5 in a
8 h-1 Mpc top hat sphere at z = 0. Three different boxes are simulated
with box sizes of L = (64, 16, 4) h-1 Mpc, respectively, the smallest
box providing good resolution but little valid information due to the
absence of large-scale power. We use 128(3) approximately 10(6.3) bar
yonic cells and an equal number of dark matter particles. In addition
to the dark matter we follow separately six baryonic species (H, H+, H
e, He+, He++, e -) with allowance for both (nonequilibrium) collisiona
l and radiative ionization in every cell. The background radiation fie
ld and radiation losses are also followed in detail with allowance mad
e for bremsstrahlung and Compton and free-bound emission, as well as i
onization losses and line emission. The mean final Zel'dovich-Sunyaev
y parameter is estimated to be yBAR = (5.4 +/- 2.7) x 10(-7), below cu
rrently attainable observations, with an rms fluctuation of approximat
ely deltayBAR = (6.0 +/- 3.0) x 10(-7) on arcminute scales. This TCDM
model can make about 6% of the observed soft X-ray background in the 0
.1-1.0 keV range. The model fails by a large factor to produce enough
ionization either by shocks or radiation to satisfy the high-redshift
Gunn-Peterson test. Addition of UV from stars in forming galaxies may
remedy this problem. We also examine the properties of X-ray-emitting
regions and the two-point correlation functions of the ''galaxies''-th
e cooled, bound regions. The rate of galaxy formation peaks at a relat
ively late epoch (z approximately 0.5). With regard to mass function,
the smallest objects are stabilized against collapse by thermal energy
: the mass-weighted mass spectrum peaks in the vicinity of m(b) = 10(9
.1) MD With a reasonable fit to the Schechter luminosity function if t
he baryon mass to blue light ratio is approximately four. These hydrod
ynamic simulations complement the pure N-body simulations, and illustr
ate the interesting properties of the TCDM model. We show that a bias
factor b = 2 required for the model to be consistent with COBE DMR sig
nals is probably a natural outcome in our multiple component simulatio
ns. Overall the model is more successful than standard biased CDM on l
arge scales, but exacerbates the temporal problems of CDM with regard
to very late formation of galaxies and of structure.