%0 Generic
%A Kozlikin, Elena
%D 2018
%F heidok:24801
%R 10.11588/heidok.00024801
%T Structure formation under different interaction laws
%U https://archiv.ub.uni-heidelberg.de/volltextserver/24801/
%X We use a novel kinetic field theory approach to investigate structure formation [1] in vastly different classical systems ranging from cosmic large-scale structures to many-body systems of Rydberg atoms or spins. The interaction laws governing the dynamics of these systems greatly differ from one another.    In the application of the formalism to the formation of cosmic large-scale structures, we address the question whether the shape of the gravitational potential has any influence on the shape of the non-linear density-fluctuation power spectrum on small scales. Since the non-linear power spectrum is a convolution of the NFW halo density profile with the mass function according to the halo model, we are interested in finding out whether the NFW profile depends on the potential shape. However, we find that the balance between the attractive force due to particle interactions and the damping due to momentum-diffusion is very finely tuned and is broken easily when Newtonian gravity is replaced by any different power-law interaction potential. This prevents us from drawing definitive conclusions and requires further analysis.    The applications of the kinetic field theory formalism to classical laboratory systems such as Rydberg gases and spin-system is a much less evolved field. We therefore present first results as a test of the applicability of KFT to such systems which, so far, are encouraging.