FRACTAL DYNAMICS IN ORTHOKINETIC ACOUSTIC AGGLOMERATION PROCESSES

We investigate the time evolution of an aggregate system undergoing or thokinetic acoustic agglomeration. The kernel function characterizing the dynamics of the process includes the fractal structure of the aggr egates. We demonstrate that to leading order in average aggregate mult iplicity [k], which is essentially the aggregate mass, the dynamic equ ation exhibits scaling properties with the scale function being propor tional to [k]. Numerical simulation carried out for fractal dimension D>2 confirms the approach of the asymptotic scaling solution. We demon strate that starting hom two very different initial distributions is t he same final scaling distribution. This is in spite of the fact that the rates of their approach are sensitive to the initial distributions .