Giovanni Canestrari

Deriving macroscopic hydrodynamic equations starting from the knowledge of the dynamics of the smaller constituents is a major problem in mathematics and physics. After a brief introduction, we show how it is possible to derive the heat equation for the thermal energy under diffusive space-time scaling for a purely deterministic microscopic dynamics satisfying Newton equations. More specifically, we study the evolution of the energy for a harmonic chain perturbed by an external chaotic force acting like a magnetic field. This is joint work with Carlangelo Liverani and Stefano Olla.