We present a comprehensive analysis of the halo model of cosmological large
to small-scale structure statistics in the case of warm dark matter (WDM)
structure formation scenarios. We include the effects of WDM on the linear
matter power spectrum, halo density profile, halo concentration relation, halo
mass function, subhalo density profile, subhalo mass function and biasing of
the smooth dark matter component. As expected, we find large differences at the
smallest physical scales in the nonlinear matter power spectrum predicted in
the halo model between WDM and cold dark matter even for reasonably high-scale
WDM particle masses. We find that significant effects are contributed from the
alteration of the halo density profile and concentration, as well as the halo
mass function. We further find that the effects of WDM on the subhalo
population are important but sub-dominant. Clustering effects of the biasing of
the smooth component in WDM is not largely significant.Comment: 15 pages, 21 figures; submitted to Phys. Rev.
