Explaining the cuspy dark matter halos by the Landau–Ginzburg theory

Abstract The equilibrium cold dark matter halos show the almost universal inner r − 1 {r}^{-1} cusps, whose physical origin is still not completely clear. This work tries to further clarify this problem by Landau–Ginzburg (LG) theory, which often used study long-range correlation of fluctuations in critical phenomenon, and we will first introduce it detail. order parameter density fluctuation, external perturbation denoted its gravitational effects on particles. Then discuss availability aforementioned method for that cusp may even form at early age halo formation can be expected with all scales, also consistent recent works. article suggests originate from correlations gravitating system. exists short-range system near point, difference length much longer than