Galaxy Biasing

In order to explore some of the uncertainty of the manner in which galaxies trace the underlying mass distribution, for a a few of our cosmological models, we have employed a variety of different methods of selecting galaxies. Breifly these models are:
  1. 2-parameter exponential model based on the initial density field
  2. 2-parameter exponential model based on the final density field
  3. high peaks biasing
  4. sharp threshold in final density
  5. power law in final density
For more details see our paper .

The single parameter biasing models are normalized to give an rms fluctuation in r=8 Mpc/h spheres of 0.96 to match that deduced for galaxies in the APM survey. The two parameter models have their parameters chosen to fit the APM rms flucuations in cubes of side 5 and 20 Mpc/h. Thus where good fits are obtained these models reproduce both the amplitude and slope of the correlation function for r<10 Mpc/h.

Table of Bias Model Parameters: (for better resolution click on the table)

Achieved Bias as a Function of Scale

The following figures show for each one of our simulations the bias computed from the ratio of the galaxy and mass power spectra as a function of wavenumber k for each of our biasing algorithms.
  1. Figure Bias Model 1
  2. Figure Bias Model 2
  3. Figure Bias Model 3
  4. Figure Bias Model 4
  5. Figure Bias Model 5

Galaxy Density versus Mass Density

The correlation between galaxy density and underlying mass density for each bias model and each simulation.
  1. Figure Bias Model 1
  2. Figure Bias Model 2
  3. Figure Bias Model 3
  4. Figure Bias Model 4
  5. Figure Bias Model 5