  We study the motion of an interface separating two regions with different
electronic orders following a short duration pump that drives the system out of
equilibrium. Using a generalized Ginzburg-Landau approach and assuming that the
main effect of the nonequilibrium drive is to transiently heat the system we
address the question of the direction of interface motion; in other words,
which ordered region expands and which contracts after the pump. Our analysis
includes the effects of differences in free energy landscape and in order
parameter dynamics and identifies circumstances in which the drive may act to
increase the volume associated with the subdominant order, for example when the
subdominant order has a second order free energy landscape while the dominant
order has a first order one.
