  We introduce a new class of Fokker-Planck equations associated with an
effective generalized thermodynamical framework. These equations describe a gas
of Langevin particles in interaction. The free energy can take various forms
which can account for anomalous diffusion, quantum statistics, lattice
models... When the potential of interaction is long-ranged, these equations
display a rich structure associated with canonical phase transitions and
blow-up phenomena. In the limit of short-range interactions, they reduce to
Cahn-Hilliard equations.
