Abstract
The formation of large clusters by the binding together of single particles or monomers occurs commonly in many important processes in physics, chemistry, biology, medicine, and engineering. These monomers can be atoms or molecules but can also be considerably larger growth units. Many growth phenomena in which a complex pattern is formed by addition or removal of material can also be modeled by a cluster growth process. This chapter discusses some of the recent advances in describing the morphology and the growth kinetics of clustering phenomena using scaling and fractal concepts. Fractal properties of a cluster are independent of many of the details of the system and provide a unified framework for characterizing the geometrical and morphological aspects of clusters. The kinetics of cluster formation can be studied through the temporal evolution of the cluster-size distribution in aggregation phenomena and the time dependence of the surface-roughness in surface growth processes. The chapter presents the dynamic scaling approach and explains how the kinetics of cluster growth and the temporal evolution of growing surfaces can be described using this powerful and general approach.
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