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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