Cesare Nardini - Università di Firenze e ENS Lyon #
STOCHASTICALLY PERTURBED LONG-RANGE INTERACTING SYSTEMS AND 2D FLUID 
MODELS #
Long-range interacting systems include neutral plasma, gravitational 
systems, two-dimensional and geophysical fluid models. We consider 
long-range interacting systems perturbed by external stochastic forces. 
Unlike the case of short-range systems, where stochastic forces usually 
act locally on each particle, here we consider perturbations by external 
stochastic fields. The system reaches stationary states where the external 
forces balance the dissipation on average. These states do not respect 
detailed balance and support non-vanishing fluxes of conserved quantities.
I will discuss how the classical tools of kinetic theory can be extended 
to describe these systems when the large structures evolve slowly. 
Comparisons with numerical simulations in a case of a particularly simple 
system, show an excellent agreement between the theory and simulations. I 
will also discuss some results on non-equilibrium phase transitions that 
we numerically observed in these systems.