Impact of a warm dark matter late-time velocity dispersion on large-scale structures.

We investigate whether the late-time (at z =100) velocity dispersion expected in warm dark matter scenarios could have some effect on the cosmic web (i.e., outside of virialized halos). We consider effective hydrodynamical equations, with a pressurelike term that agrees at the linear level with the analysis of the Vlasov equation. Then, using analytical methods, based on perturbative expansions and the spherical dynamics, we investigate the impact of this term for a 1 keV dark matter particle. We find that the late-time velocity dispersion has a negligible effect on the power spectrum on perturbative scales and on the halo mass function. However, it has a significant impact on the probability distribution function of the density contrast at z ~ 3 on scales smaller than 0.1h-1 Mpc, which correspond to Lyman-ɑ clouds. Finally, we note that numerical simulations should start at zi = 100 rather than zi = 50 to avoid underestimating gravitational clustering at low redshifts. [ABSTRACT FROM AUTHOR]