Astronomy and Astrophysics – Astrophysics
Scientific paper
2001-03-20
Astron. Nachrichten 324 (2003) 560
Astronomy and Astrophysics
Astrophysics
Minor, unimportant changes. Matches published version
Scientific paper
This work reports on a study of the spatially coarse-grained velocity dispersion in cosmological N-body simulations (OCDM and Lambda-CDM models) as a function of time (redshifts z=0-4) and of the coarsening length (0.6-20 Mpc/h). The main result is the discovery of a polytropic relationship I_1 ~ rho^{2-eta} between the velocity-dispersion kinetic energy density of the coarsening cells, I_1, and their mass density, rho. The exponent eta, dependent on time and coarsening scale, is a compact measure of the deviations from the naive virial prediction eta_virial=0. This relationship supports the ``polytropic assumption'' which has been employed in theoretical models for the growth of cosmological structure by gravitational instability.
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