Geometrical multifractality of the perimeter of DLA clusters

The geometrical multifractality of diffusion-limited aggregation (DLA) clus ters is investigated by evaluating the D-q spectrum for q greater than or e qual to 0 using the standard box-counting technique. Using the cluster poin ts themselves as input to the algorithm, deviations were found from the exp ected multifractal scaling. However on examining the geometric scaling prop erties of the cluster perimeter, such deviations were found to be significa ntly reduced, thus allowing a reliable D-q spectrum to be calculated. (C) 2 000 Elsevier Science Ltd. All rights reserved.