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In this paper, we consider a class of mechanical models which consists of alinear chain of identical chaotic cells, each of which has two small lateralholes and contains a rotating disk at its center. Particles are injected atcharacteristic temperatures and rates from stochastic heat baths located atboth ends of the chain. Once in the system, the particles move freely withinthe cells and will experience elastic collisions with the outer boundary of thecells as well as with the disks. They do not interact with each other but cantransfer energy from one to another through collisions with the disks. Thestate of the system is defined by the positions and velocities of the particlesand by the angular positions and angular velocities of the disks. We show thateach model in this class is controllable with respect to the baths, i.e. weprove that the action of the baths can drive the system from any state to anyother state in a finite time. As a consequence, one obtains the existence of atmost one regular invariant measure characterizing its states (out ofequilibrium)

Controllability for chains of dynamical scatterers