Non-spherical Cows: Introducing the Asphericity Parameter as a Measure of Accretion Geometry

The outer regions of galactic halos represent the bridge connecting internal processes within the galaxy to the larger surrounding cosmic web. The gas in this bridge region is shaped by the competing processes of cold inflows from the web and hot ejecta from feedback of supernovae or an active galactic nucleus. Similarly, the gas around galaxy clusters characterizes the balance between inflows and outflows. To study this connection, we introduce a new parameter for quantifying the geometrical configuration of the flow field connecting structures to the cosmic web, the asphericity parameter. This inflow asphericity is based on a spherical harmonics decomposition of the inflow at the virial boundary of the halo. It can be computed using both the linear and the logarithmic inflow field. To validate this parameter we apply it to both an extensive toy model set and to simulated haloes from the Magneticum simulations. We find the linear asphericity to be a tracer of the total power of the non-spherical inflow and the total anisotropy. On the other hand, the logarithmic asphericity traces the covering fraction of inflows at the surface and is highly sensitive to regions with zero inflow (regions that are dominated by outflow). Thus the asphericity of the flow field is a powerful tool to simultaneously study the geometry of in- and outflows in numerical simulations.