Optimal smoothing length of galaxy models based on the Sérsic law

Astronomy and Astrophysics – Astrophysics

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Scientific paper

We aim to use N-body simulations in order to investigate how dissipation-less merging affects internal color gradients and structural properties of early-type galaxies. Galaxies are modeled as spherical, two-components, non-rotating systems. The dark matter component has a density profile described by a deprojected Sérsic law with shape parameter n=3, while the luminous component is described by deprojecting Sérsic profiles with different shape parameters. Following a similar approach to that of Merritt te{1996AJ....111.2462M}, we discuss how one can define the optimal softening length of discrete N-body realizations of systems following the two-dimensional Sérsic density profile. The optimal softening length turns out to decrease as a function of both the Sérsic index and the number of particles of the simulation.

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