We discuss the issue of energy nonconservation in the virialzation process of spherical collapse model with homogeneous dark energy. We propose an approximation scheme to find the virialization radius as well as modify a scheme recently proposed by Maor and Lahav. By comparing various schemes and estimating the parameter q, we conclude that the problem of energy conservation may have sizable ef...

We present a general framework to treat the evolution of one-point probability distribution function (PDF) for cosmic density δ and velocity-divergence fields θ. In particular, we derive an evolution equation for the one-point PDFs and consider the stochastic nature associated with these quantities. Under the local approximation that the evolution of cosmic fluid fields can be characterized by ...