MULTIPLE INVASION PERCOLATION

We generalize the standard site invasion percolation model to permit s imultaneous invasion of several sites. We propose two kinds of general izations: one in which the invasion flux is controlled by the perimete r size and another where the growth process is commanded by the scalin g properties. The acceptance profile as well as the fractal dimensions DF are carefully studied. For the model based on scaling relations, D F can be treated as a mere real parameter in the range (0, infinity). In the intervals (0, 91/48) and (2, infinity) the system is frustrated . For DF > 2 the model exhibits also an interesting burst phenomenon w hich is explained in the text. In the region [91/48, 2], the clusters obey exactly and in any scale the relations M similar to Rg(DF) betwee n the mass M and the gyration radius Rg. These stabilized random fract als may be very useful in the study of dilute systems.