Cristian Giardinà - Università di Modena e Reggio Emilia # Stochastic models of transport # A class of stochastic models which can be exactly solved by duality will be reviewed. The class includes both interacting diffusions (so-called Brownian Energy Process) and interacting particle systems (Inclusion and Exclusion Process). The limit of "instantaneous thermalization" of those models will also be discussed. All in all, the exact analysis allows to check in a robust way some of the universal properties which are expected to hold in a non-equilibrium state, e.g. long-range correlations.

The presentation will be based on a recent joint work with G. Carinci, C. Giberti and F. Redig.