Astero Provata

Studies on the Properties of Aggregation

For low dimensional and fractal aggregating systems with external flux of charged particles, we investigate the development of a steady state distribution. The mean field case is also treated and compared with the low dimensional cases. This steady state is proved to be a power law distribution which is very robust. Any initial perturbation applied decays and the system relaxes to the steady state following either a power law or an exponential decay, depending on the details of the input distribution. The exponent of the power law depends only on the form of the input distribution and the dimensionality of the aggregating system.

References: 2,3,5,7,12

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