OBSERVATION OF CONSERVATION-LAWS IN-DIFFUSION LIMITED AGGREGATION

We repeat the numerical experiments for diffusion limited aggregation (DLA) and show that there is a potentially infinite set of conserved q uantities for the long time asymptotics. We connect these observations with the exact integrability of the continuum limit of the DLA (quasi static Stefan problem). The conserved quantities of the Stefan problem (harmonic moments) when discretized are our conserved quantities. The se numerical experiments show that the exact integrability of the Stef an problem may be continued beyond the formation of cusps in the movin g boundary.