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Article overview
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Exact solutions for mass-dependent irreversible aggregations | Seung-Woo Son
; Claire Christensen
; Golnoosh Bizhani
; Peter Grassberger
; Maya Paczuski
; | Date: |
1 Sep 2011 | Abstract: | We consider the mass-dependent aggregation process (k+1)X -> X, given a fixed
number of unit mass particles in the initial state. One cluster is chosen
proportional to its mass and is merged into one either with k-neighbors in one
dimension, or -- in the well-mixed case -- with k other clusters picked
randomly. We find the same combinatorial exact solutions for the probability to
find any given configuration of particles on a ring or line, and in the
well-mixed case. The mass distribution of a single cluster exhibits scaling
laws and the finite size scaling form is given. The relation to the classical
sum kernel of irreversible aggregation is discussed. | Source: | arXiv, 1109.0045 | Services: | Forum | Review | PDF | Favorites |
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