Prof. Lamberto Rondoni (Politecnico di Torino) Dr Paolo De Gregorio (INFN Padova)
Twenty years ago, the molecular dynamics approach to nonequilibrium phenomena gave birth to a vast still growing wave of investigations, which has resulted in a number of works conceptually important in general, and of practical relevance especially in the mesoscopic realm. That wave has largely turned towards stochastic systems, considered easier to handle. We will outline recent results on non-equilibrium response, obtained from the deterministic (molecular dynamics/dynamical systems) perspective, which complements the stochastic perspective. Relaxation, response relations and optimal controlwill be considered, together with a new interpretation of nonquilibrium effective temperatures. These results raise some new questions on the use of ergodic theory in statistical mechanics.