  We study the approach to equilibrium of a Bose gas to a superfluid state. We
point out that dynamic scaling, characteristic of far from equilibrium
phase-ordering systems, should hold. We stress the importance of a
non-dissipative Josephson precession term in driving the system to a new
universality class. A model of coarsening in dimension $d=2$, involving a
quench between two temperatures below the equilibrium superfluid transition
temperature ($T_c$), is exactly solved and demonstrates the relevance of the
Josephson term. Numerical results on quenches from above $T_c$ in $d=2,3$
provide evidence for the scaling picture postulated.
