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A kinetic version of random Apollonian packing model is introduced. In this model, droplets nucleate spontaneously, grow at a uniform rate and stop growing upon collisions. The fractal dimension, D f of the pore space is found to be equal to D f =d(1-exp(2-(2 d+2 -2)/(d+2)), a result which is confirmed exactly in 1D and numerically in 2D.
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Brilliantov et al. (1994) studied this question.
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