C7: Dense active suspensions in the chaotic regime

The goal of the project is to investigate active particle motion in a soluble medium (bacteria or active colloids) in the chaotic flow regime (“turbulence”) on an essentially two-dimensional manifold. We employ three differ-ent methods bridging the scales from microscopic particle motion to the continuum. On the smallest scale, we conduct (i) direct numerical simulations. This will be the basis for the construction of a (ii) mixture model founded on the Eulerian spatial averaging leading to an effective flow model. Built on this, a (iii) probability density function description and, in turn, its group theoretical properties will be the final goal to understand the complete and detailed statistics of the problem.