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.