Journal of Statistical Physics, Vol. 96, Nos. 5/6, 1999. p. 1049-1070.
We investigate the stochastic counterpart of the Smoluchowski coagulation equation, namely the MarcusLushnikov coagulation model. It is believed that for a broad class of kernels, all particles are swept into one huge cluster in an arbitrarily small time, which is known as a complete and instantaneous gelation phenomenon...