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AN ANALYTICAL STUDY ON THE SCALING PROPERTIES OF DIFFUSION-LIMITED AGGREGATION IN EXTERNAL FIELDS

YU JIANG HU GANG

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AN ANALYTICAL STUDY ON THE SCALING PROPERTIES OF DIFFUSION-LIMITED AGGREGATION IN EXTERNAL FIELDS

YU JIANG, HU GANG
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  • We have investigated the scaling properties of DLA clusters grown in the various kinds of external fields, using the meanfield theory with the continuum approximation. Our results show that the density of the growing cluster, ρ, initially dropping as 1/r, and becomes a constant value for constant external field. For the fields of type 1/rα we find that the aggregates exhibit very complicated, non-trivial scaling behaviours with the control parameter a varying.
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  • Received Date:  05 December 1987
  • Published Online:  06 July 2005

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