Polymer dynamics in time-dependent Matheron-de Marsily flows: An exactly solvable model

We introduce a new model of random layered media, extending the Matheron-de Marsily model: Here we allow for the flows to change in time. For such layered structures, we solve exactly the equations of motion for single particles, and also for polymers modelled as Rouse chains. The results show a rich variety of dynamical patterns.