TY  - GEN
AV  - public
UR  - https://archiv.ub.uni-heidelberg.de/volltextserver/24801/
ID  - heidok24801
Y1  - 2018///
TI  - Structure formation under different interaction laws
N2  - We use a novel kinetic ?eld theory approach to investigate structure formation [1] in vastly di?erent 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 di?er 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 in?uence on the shape of the non-linear density-?uctuation power spectrum on small scales. Since the non-linear power spectrum is a convolution of the NFW halo density pro?le with the mass function according to the halo model, we are interested in ?nding out whether the NFW pro?le depends on the potential shape. However, we ?nd that the balance between the attractive force due to particle interactions and the damping due to momentum-di?usion is very ?nely tuned and is broken easily when Newtonian gravity is replaced by any di?erent power-law interaction potential. This prevents us from drawing de?nitive conclusions and requires further analysis.

The applications of the kinetic ?eld theory formalism to classical laboratory systems such as Rydberg gases and spin-system is a much less evolved ?eld. We therefore present ?rst results as a test of the applicability of KFT to such systems which, so far, are encouraging.
A1  - Kozlikin, Elena
ER  -