Sewell, G. L.
Quantum plasma model with hydrodynamical phase transition
(40K, TeX)

ABSTRACT.  We derive the electro-hydrodynamics of the Jellium plasma model
from its many-particle Schr\"odinger equation, subject to certain
general initial and regularity conditions, and prove that it
undergoes a transition from deterministic to stochastic flow when
a certain parameter, representing the non-uniformity in the
initial density and drift velocity profiles, reaches a certain
critical value. Thus, the model exhibits a phase transition far
from equilibrium.