Speaker
Description
We propose an 'iterative mean-field approach' to compute the solutions of the gravitational collapse dynamics. This approach iteratively searches for the evolution of the interaction field ϕ(t) - in this case the enclosed mass profile M(r, t) - that is consistent with the dynamics, thus that ϕ(t) is the fix-point of the iterative mapping, H(ϕ)=ϕ. The formalism replaces the N-body interactions with one-body interactions with the coarse-grained interaction field, and thus shares the spirit of the mean-field theory in statistical physics. This 'iterative mean-field approach' combines the versatility of numerical simulations and the comprehensiveness of analytical solutions, and is particularly powerful in searching for and understanding intermediate asymptotic states in a wide range of dynamical systems where the solutions can not be obtained through the traditional self-similar analysis. For the study of dark matter halos, it provides a way to do spherical collapse for LCDM Universe and arbitrary halo MAH, and can work as a minimalistic model that captures the universality and diversity of outer profiles.
