@article{BaushevBarkov2018,
  author    = {Baushev, Anton N. and Barkov, M. V.},
  title     = {Why does Einasto profile index n similar to 6 occur so frequently?},
  series = {Journal of cosmology and astroparticle physics},
  journal   = {Journal of cosmology and astroparticle physics},
  number    = {3},
  publisher = {IOP Publ. Ltd.},
  address   = {Bristol},
  issn      = {1475-7516},
  doi       = {10.1088/1475-7516/2018/03/034},
  pages     = {15},
  year      = {2018},
  abstract  = {We consider the behavior of spherically symmetric Einasto halos composed of gravitating particles in the Fokker-Planck approximation. This approach allows us to consider the undesirable influence of close encounters in the N-body simulations more adequately than the generally accepted criteria. The Einasto profile with index n approximate to 6 is a stationary solution of the Fokker-Planck equation in the halo center. There are some reasons to believe that the solution is an attractor. Then the Fokker-Planck diffusion tends to transform a density profile to the equilibrium one with the Einasto index n approximate to 6. We suggest this effect as a possible reason why the Einasto index n approximate to 6 occurs so frequently in the interpretation of N-body simulation results. The results obtained cast doubt on generally accepted criteria of N-body simulation convergence.},
  language  = {en}
}