منابع مشابه
Slippery 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...
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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...
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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...
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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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The paper suggests a generalisation of the diffusion-limited aggregation (DLA) based on using a general stochastic process to control particle movements before sticking to a growing cluster. This leads to models with variable characteristics that can provide a single framework for treating a number of earlier models of fractal growth: the DLA, the Eden model and the ballistic aggregation. Addit...
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ژورنال
عنوان ژورنال: Latin American Journal of Probability and Mathematical Statistics
سال: 2017
ISSN: 1980-0436
DOI: 10.30757/alea.v14-15