Understand
We study galaxy evolution from z=1 to z=0 as a function of velocity dispersion sigma for galaxies with sigma > 95 km/s based on the measured and Monte Carlo realised local velocity dispersion functions (VDFs) of galaxies and the revised statistical properties of 30 strongly-lensed sources.
- We assume that the total (luminous plus dark) mass profile of a galaxy is isothermal in the optical region for 0 < z < 1 as suggested by mass modelling of lensing galaxies.
- For the evolutionary behaviours of the VDFs we find that: (1) the number density of massive (mostly early-type) galaxies with sigma > 200 km/s evolves differentially in the way that the number density evolution is greater at a higher velocity dispersion; (2) the number density of intermediate and low mass early-type galaxies (95 km/s < sigma < 200 km/s) is nearly constant; (3) the late-type VDF transformed from the Monte Carlo realised circular velocity function is consistent with no evolution in its shape or integrated number density consistent with galaxy survey results.
- These evolutionary behaviours of the VDFs are strikingly similar to those of the dark halo mass function (DMF) from N-body simulations and the stellar mass function (SMF) predicted by recent semi-analytic models of galaxy formation under the current LambdaCDM hierarchical structure formation paradigm.