Scaling Laws of Reversible Aggregation in Compact Cluster Systems
Abstract
The reversible clustercluster aggregation processes in compact cluster systems are studied via a scaling argument and Monte Carlo simulations. To describe the detail effects of fragmentations from treelike fractal to compact clusters a relative breakup probability Q(s_{1,s_2) ~} s^{β }_{1+sβ _2} with an exponent β is introduced. The meanfield rate equation and numerical simulation results indicate that the critical exponent y, which is defined as <s(k,∞)> k^{y}, has a value of (α+ξβ+2)^{1}. It is shown that the scaling properties of the cluster size distributions are determined by the selections of the exponents α, β and ξ.
 Publication:

International Journal of Modern Physics B
 Pub Date:
 2000
 DOI:
 10.1142/S0217979200000947
 Bibcode:
 2000IJMPB..14..983Z