منابع مشابه
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...
متن کاملSlippery diffusion-limited aggregation.
Colloidal particles that interact through strong, short-range, secondary attractions in liquids form irreversible "slippery" bonds that are not shear-rigid. Through event-driven simulations of slippery attractive spheres, we show that space-filling fractal clusters still emerge from the process of "slippery" diffusion-limited aggregation (DLA). Although slippery and classic DLA clusters have th...
متن کاملAdvection-diffusion-limited aggregation.
Much is known about diffusion-limited growth from a dilute suspension. The simplest and most famous model is diffusion-limited aggregation (DLA), in which random walkers are released one-by-one far away and become frozen where they first touch a growing fractal cluster. Real growth phenomena, such as mineral deposition in rocks, however, often involve multiple processes, such as advection-diffu...
متن کاملComposite Diffusion Limited Aggregation Paintings
Diffusion limited aggregation (DLA) is a modelling technique for simulating dendritic growth that has seen widespread application in the physical, biological, and social sciences. We introduce an artistic component to the basic technique by adding special effects parameters to a single particle, random walk DLA aggregation scheme. Our goal is to explore the potential of the enhanced scheme as a...
متن کاملDiffusion Limited Aggregation on the Boolean Lattice
In the Diffusion Limited Aggregation (DLA) process on on Z, or more generally Z, particles aggregate to an initially occupied origin by arrivals on a random walk. The scaling limit of the result, empirically, is a fractal with dimension strictly less than d. Very little has been shown rigorously about the process, however. We study an analogous process on the Boolean lattice {0, 1}, in which pa...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2004
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.69.061403