Abstract
In this paper, we present a particle-cluster model for a two-dimensional fractal aggregation with the nearest neighbor and next-nearest neighbor interactions in external fields. The external field is described by the probability . Our computer simulation results show that the threshold concentration is and the fractal dimension is at this concentration. In comparison with previous results with nearest neighbor interaction only, we find that is the same, but is smaller, which is reasonable, since the connectivity has been changed significantly.
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