Off-lattice noise reduction and the ultimate scaling of diffusion-limited aggregation in two dimensions.

Off-lattice noise reduction and the ultimate scaling of DLA in two dimensions

Anisotropic diffusion limited aggregation in three dimensions: universality and nonuniversality.

We explore the macroscopic consequences of lattice anisotropy for diffusion limited aggregation (DLA) in three dimensions. Simple cubic and bcc lattice growths are shown to approach universal asymptotic states in a coherent fashion, and the approach is accelerated by the use of noise reduction. These states are strikingly anisotropic dendrites with a rich hierarchy of structure. For growth on a...

Test of multiscaling in a diffusion-limited-aggregation model using an off-lattice killing-free algorithm.

We test the multiscaling issue of diffusion-limited-aggregation (DLA) clusters using a modified algorithm. This algorithm eliminates killing the particles at the death circle. Instead, we return them to the birth circle at a random relative angle taken from the evaluated distribution. In addition, we use a two-level hierarchical memory model that allows using large steps in conjunction with an ...

Number of branches in diffusion-limited aggregates: The skeleton.

We develop the skeleton algorithm to define the number of main branches Nb of diffusion-limited aggregation (DLA) clusters. The skeleton algorithm provides a systematic way to remove dangling side branches of the DLA cluster and has successfully been applied to study the ramification properties of percolation. We study the skeleton of comparatively large (≈ 10 sites) off-lattice DLA clusters in...

Cluster-cluster aggregation for particles with different functionalities

An extended lattice model for reaction limited cluster-cluster aggregation is studied, where different kinds and states of bonds between monomers are considered. The decrease of the numbers of possible bonds per monomer yields decreasing fractal dimensions, which differ from the usual values obtained for diffusion limited and reaction limited clustercluster aggregation regimes, respectively.