Numerical Study of Cluster Distributions in Self-Affine Aggregates
FEDERICO J. ROMÁ · AIP conference proceedings · 2003
During the last decade, the outcome of self‐affine geometrical properties of many growing aggregates, originated in a width variety of processes, has been well characterized. However, little progress has been achieved in the search of an unified description of the underlying dynamics. Extensive numerical evidences are given showing that the bulk of aggregates formed upon ballistic aggregation and random deposition with surface relaxation processes, can be break down into a set of infinite scale invariant structures called “trees”. These two types of aggregates have been selected because it has been established that they belong to different universality classes: those of Kardar‐Parisi‐Zhang and Edward‐Wilkinson, respectively. Exponents describing the spatial and temporal scale invariance of the trees can be related to the classical exponents describing the self‐affine nature of the growing interface. Furthermore, those exponents allows to distinguish on either the compact or non‐compact nature of the growing trees. Therefore, the measurement of the statistic of the process of growing trees may become a useful experimental technique for the evaluation of the self‐affine properties of some aggregates.