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We develop a novel abundance matching method to construct a mock catalog ofluminous red galaxies (LRGs) in SDSS, using catalogs of halos and subhalos inN-body simulations for a LCDM model. Motivated by observations suggesting thatLRGs are passively-evolving, massive early-type galaxies with a typical age>5Gyr, we assume that simulated halos at z=2 (z2-halo) are progenitors forLRG-host subhalos observed today, and we label the most tightly bound particlesin each progenitor z2-halo as LRG ``stars''. We then identify the subhaloscontaining these stars to z=0.3 (SDSS redshift) in descending order of themasses of z2-halos until the comoving number density of the matched subhalosbecomes comparable to the measured number density of SDSS LRGs, n=10^{-4}(h/Mpc)^3. Once the above prescription is determined, our only free parameteris the number density of halos identified at z=2 and this parameter is fixed tomatch the observed number density at z = 0.3. By tracing subsequent merging andassembly histories of each progenitor z2-halo, we can directly compute, fromthe mock catalog, the distributions of central and satellite LRGs and theirinternal motions in each host halo at z=0.3. While the SDSS LRGs are galaxiesselected by the magnitude and color cuts from the SDSS images and are notnecessarily a stellar-mass-selected sample, our mock catalog reproduces a hostof SDSS measurements: the halo occupation distribution for central andsatellite LRGs, the projected auto-correlation function of LRGs, thecross-correlation of LRGs with shapes of background galaxies (LRG-galaxy weaklensing), and the nonlinear redshift-space distortion effect, the Finger-of-Godeffect, in the angle-averaged redshift-space power spectrum.

Understanding the nature of luminous red galaxies (LRGs): Connecting LRGs to central and satellite subhalos