2006MNRAS.368.1369G

We apply the stochastic model of iron transport developed by Rebusco et al. to the Centaurus cluster. Using this model, we find that an effective diffusion coefficient D in the range 2x10²⁸-4x10²⁸ cm²/s can approximately reproduce the observed abundance distribution. Reproducing the flat central profile and sharp drop around 30-70kpc, however, requires a diffusion coefficient that drops rapidly with radius so that D > 4x10²⁸ cm²/s only inside about 25kpc. Assuming that all transport is due to fully developed turbulence, which is also responsible for offsetting cooling in the cluster core, we calculate the length- and velocity-scales of energy injection. These length-scales are found to be up to a factor of ∼10 larger than expected if the turbulence is due to the inflation and rising of a bubble. We also calculate the turbulent thermal conductivity and find it is unlikely to be significant in preventing cooling.