  We consider a particle confined in a uniformly expanding two-dimensional
square box from the point of the view of the de Broglie-Bohm pilot-wave theory.
In particular we study quantum ensembles in which the Born Law is initially
violated (quantum non-equilibrium). We show examples of such ensembles that
start close to quantum equilibrium, as measured by the standard coarse-grained
H-function, but diverge from it with time. We give an explanation of this
result and discuss the possibilities that it opens.
