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- W2055451431 abstract "The authors prove that the growth process governed by the diffusion-limited aggregation (DLA) algorithm as well as by some of its natural extensions is isomorphous to the process of pushing an incompressible Newtonian fluid by an inviscid fluid through a porous medium in the chamber-tube (CT) model, provided that the parameters of the CT model are properly chosen. In this way they give a direct quantitative relation between hydrodynamics in random (porous) media and the fractal theory of stochastic DLA-like aggregates. On the other hand, this work presents an example of two equivalent dynamical systems, one of them with stochastic dynamics applied to a deterministic medium and the other with deterministic dynamics applied to a random medium." @default.
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- W2055451431 date "1991-10-21" @default.
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- W2055451431 title "The equivalence of the DLA and a hydrodynamic model" @default.
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- W2055451431 doi "https://doi.org/10.1088/0305-4470/24/20/021" @default.
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