Abstract
Based on the multifractal formalism, we introduce a multifractal spectrum associated with entropy of clusters in growth models by calculating probability distributions of histories from an initial seed to a resultant cluster. The entropy spectrum is shown in a ballistic growth model producing fanlike clusters and Eden growth as examples. Numerical calculations of the models give results that suggest the existence of phase transitions in the spectrum.
DOI:https://doi.org/10.1103/PhysRevE.55.7793
©1997 American Physical Society