Self-Similarity of $k$-Nearest Neighbor Distributions in Scale-Free Simulations

  title={Self-Similarity of \$k\$-Nearest Neighbor Distributions in Scale-Free Simulations},
  author={Lehman H Garrison and Tom Abel and Daniel J. Eisenstein},
We use the k-nearest neighbor probability distribution function (kNN-PDF, Banerjee & Abel 2021) to assess convergence in a scale-free N -body simulation. Compared to our previous two-point analysis, the kNN-PDF allows us to quantify our results in the language of halos and numbers of particles, while also incorporating non-Gaussian information. We find good convergence for 32 particles and greater at densities typical of halos, while 16 particles and fewer appears unconverged. Halving the… Expand