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- Diffusion-limited_aggregation abstract "Diffusion-limited aggregation (DLA) is the process whereby particles undergoing a random walk due to Brownian motion cluster together to form aggregates of such particles. This theory, proposed by T.A. Witten Jr. and L.M. Sander in 1981, is applicable to aggregation in any system where diffusion is the primary means of transport in the system. DLA can be observed in many systems such as electrodeposition, Hele-Shaw flow, mineral deposits, and dielectric breakdown.The clusters formed in DLA processes are referred to as Brownian trees. These clusters are an example of a fractal. In 2-D these fractals exhibit a dimension of approximately 1.71 for free particles that are unrestricted by a lattice, however computer simulation of DLA on a lattice will change the fractal dimension slightly for a DLA in the same embedding dimension. Some variations are also observed depending on the geometry of the growth, whether it be from a single point radially outward or from a plane or line for example. Two examples of aggregates generated using a microcomputer by allowing random walkers to adhere to an aggregate (originally (i) a straight line consisting 1300 particles and (ii) one particle at center) are shown on the right. Computer simulation of DLA is one of the primary means of studying this model. Several methods are available to accomplish this. Simulations can be done on a lattice of any desired geometry of embedding dimension, in fact this has been done in up to 8 dimensions, or the simulation can be done more along the lines of a standard molecular dynamics simulation where a particle is allowed to freely random walk until it gets within a certain critical range at which time it is pulled onto the cluster. Of critical importance is that the number of particles undergoing Brownian motion in the system is kept very low so that only the diffusive nature of the system is present.".
- Diffusion-limited_aggregation thumbnail DLA_Cluster.JPG?width=300.
- Diffusion-limited_aggregation wikiPageExternalLink dla.
- Diffusion-limited_aggregation wikiPageExternalLink BopXpq.
- Diffusion-limited_aggregation wikiPageExternalLink DLA.html.
- Diffusion-limited_aggregation wikiPageExternalLink p36.html.
- Diffusion-limited_aggregation wikiPageExternalLink index.php.
- Diffusion-limited_aggregation wikiPageID "1312515".
- Diffusion-limited_aggregation wikiPageLength "4845".
- Diffusion-limited_aggregation wikiPageOutDegree "26".
- Diffusion-limited_aggregation wikiPageRevisionID "683685672".
- Diffusion-limited_aggregation wikiPageWikiLink Brownian_motion.
- Diffusion-limited_aggregation wikiPageWikiLink Brownian_tree.
- Diffusion-limited_aggregation wikiPageWikiLink Category:Computer_art.
- Diffusion-limited_aggregation wikiPageWikiLink Category:Stochastic_processes.
- Diffusion-limited_aggregation wikiPageWikiLink Diffusion.
- Diffusion-limited_aggregation wikiPageWikiLink Eden_growth_model.
- Diffusion-limited_aggregation wikiPageWikiLink Electrical_breakdown.
- Diffusion-limited_aggregation wikiPageWikiLink Fractal.
- Diffusion-limited_aggregation wikiPageWikiLink Fractal_dimension.
- Diffusion-limited_aggregation wikiPageWikiLink Glossary_of_commutative_algebra.
- Diffusion-limited_aggregation wikiPageWikiLink Hele-Shaw_flow.
- Diffusion-limited_aggregation wikiPageWikiLink Java_(programming_language).
- Diffusion-limited_aggregation wikiPageWikiLink Open_source.
- Diffusion-limited_aggregation wikiPageWikiLink Random_walk.
- Diffusion-limited_aggregation wikiPageWikiLink Thomas_Witten.
- Diffusion-limited_aggregation wikiPageWikiLink Toxiclibs.
- Diffusion-limited_aggregation wikiPageWikiLink Transport_phenomena.
- Diffusion-limited_aggregation wikiPageWikiLink File:Brownian_tree_vertical_large.png.
- Diffusion-limited_aggregation wikiPageWikiLink File:DLA_Cluster.JPG.
- Diffusion-limited_aggregation wikiPageWikiLink File:DLA_spiral.png.
- Diffusion-limited_aggregation wikiPageWikiLink File:Of7_p0001_15h.jpg.
- Diffusion-limited_aggregation wikiPageWikiLink File:Rec8_3kc2p.jpg.
- Diffusion-limited_aggregation wikiPageWikiLink File:Square1.jpg.
- Diffusion-limited_aggregation wikiPageWikiLinkText "2D DLA Cluster".
- Diffusion-limited_aggregation wikiPageWikiLinkText "3D DLA Cluster".
- Diffusion-limited_aggregation wikiPageWikiLinkText "Clusters of clusters 2D".
- Diffusion-limited_aggregation wikiPageWikiLinkText "Diffusion-limited aggregation".
- Diffusion-limited_aggregation wikiPageWikiLinkText "diffusion-limited aggregation".
- Diffusion-limited_aggregation wikiPageWikiLinkText "fractal tree".
- Diffusion-limited_aggregation wikiPageUsesTemplate Template:Fractals.
- Diffusion-limited_aggregation subject Category:Computer_art.
- Diffusion-limited_aggregation subject Category:Stochastic_processes.
- Diffusion-limited_aggregation hypernym Process.
- Diffusion-limited_aggregation type Election.
- Diffusion-limited_aggregation type Type.
- Diffusion-limited_aggregation type Process.
- Diffusion-limited_aggregation type Type.
- Diffusion-limited_aggregation comment "Diffusion-limited aggregation (DLA) is the process whereby particles undergoing a random walk due to Brownian motion cluster together to form aggregates of such particles. This theory, proposed by T.A. Witten Jr. and L.M. Sander in 1981, is applicable to aggregation in any system where diffusion is the primary means of transport in the system.".
- Diffusion-limited_aggregation label "Diffusion-limited aggregation".
- Diffusion-limited_aggregation sameAs Q1224521.
- Diffusion-limited_aggregation sameAs Diffusionsbegrenztes_Wachstum.
- Diffusion-limited_aggregation sameAs Agregación_limitada_por_difusión.
- Diffusion-limited_aggregation sameAs Difusioz_mugatutako_agregazio.
- Diffusion-limited_aggregation sameAs Diffúziólimitált_aggregáció.
- Diffusion-limited_aggregation sameAs 拡散律速凝集.
- Diffusion-limited_aggregation sameAs Agregação_por_difusão_limitada.
- Diffusion-limited_aggregation sameAs m.04s1t1.
- Diffusion-limited_aggregation sameAs Дифузно-ограничена_агрегација.
- Diffusion-limited_aggregation sameAs Q1224521.
- Diffusion-limited_aggregation wasDerivedFrom Diffusion-limited_aggregation?oldid=683685672.
- Diffusion-limited_aggregation depiction DLA_Cluster.JPG.
- Diffusion-limited_aggregation isPrimaryTopicOf Diffusion-limited_aggregation.