I know that Glasser and Qin at Princeton are working on geometrical view of plasma physik. They aim to get a view of particle-in-cell methods (basically a way to discretize the Vlasov equation using sparse sampling) using a geometric view point expressed using discrete exterior calculus. But I am not sure how much of that is ready or published.
In the process I gained ... a healthy skepticism of the Qin group's papers. The man himself is sharp, though. Interested to see what they come up with.
