On diffusion limited deposition
نویسندگان
چکیده
منابع مشابه
Electrochemical deposition of layered copper thin films based on the diffusion limited aggregation
In this work layered copper films with smooth surface were successfully fabricated onto ITO substrate by electrochemical deposition (ECD) and the thickness of the films was nearly 60 nm. The resulting films were characterized by SEM, TEM, AFM, XPS, and XRD. We have investigated the effects of potential and the concentration of additives and found that 2D dendritic-like growth process leaded the...
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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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We consider the DLA process on a cylinder G × N. It is shown that this process “grows arms”, provided that the base graph G has small enough mixing time. Specifically, if the mixing time of G is at most log(2−ε) |G|, the time it takes the cluster to reach the m-th layer of the cylinder is at most of order m · |G| log log|G| . In particular we get examples of infinite Cayley graphs of degree 5, ...
متن کاملDiffusion-Limited Aggregation on Curved Surfaces
We develop a general theory of transport-limited aggregation phenomena occurring on curved surfaces, based on stochastic iterated conformal maps and conformal projections to the complex plane. To illustrate the theory, we use stereographic projections to simulate diffusionlimited-aggregation (DLA) on surfaces of constant Gaussian curvature, including the sphere (K > 0) and pseudo-sphere (K < 0)...
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...
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ژورنال
عنوان ژورنال: Electronic Journal of Probability
سال: 2016
ISSN: 1083-6489
DOI: 10.1214/16-ejp4310