For ballistic cluster-cluster aggregates, the gyration radius grows as N^0.53 and the graph geodesic radius as N^0.71, and these exponents explain the observed phi^2 scaling of thermal conductivity and phi^3 scaling of compressive strength.
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Geometrical structure and thermal conductivity of dust aggregates formed via ballistic cluster-cluster aggregation
For ballistic cluster-cluster aggregates, the gyration radius grows as N^0.53 and the graph geodesic radius as N^0.71, and these exponents explain the observed phi^2 scaling of thermal conductivity and phi^3 scaling of compressive strength.