COALESCENCE AND DROPLETS IN THE SUBCRITICAL NONLINEAR SCHRODINGER-EQUATION

We describe here the coalescence and formation of droplets, in a Hamil tonian kinetics of a first order phase transition. In the process of c oalescence, the typical linear size of single phase domains grows as a power of time. The density correlation function follows the usual sel f-similar dynamic scaling. For different initial conditions, we observ e the nucleation and dynamics of stable pulses. The stability of such pulses in one dimension is also computed. Roth results may be relevant to superfluid He-4 cavitation or for filamentation in nonlinear optic s and for the recent evidence of Bose-Einstein condensation in Li-7.