Density perturbations in a universe consisting of fluid plus collisionless neutrino gas

In a two-component universe which consists of fluid (visible matter) plus collisionless massive neutrino gas (dark matter), the remarkable difference between the developed inhomogeneities in two components could be formed after the decoupling time. The inhomogeneities developed in visible matter are larger than that in neutrinos, especially on smaller scales. The necessary condition for such a situation to arise is only that the density of neutrinos in the universe is dominant. That means the non-dominant visible component in the universe is strongly clustered especially on smaller scales, while the distribution of the dominant dark matter (neutrinos) is fairly uniform.