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- W189917811 abstract "Many physical systems do exhibit self-similarity, although, of course, within some finite range of scales. The list includes Brownian motion, turbulent flows, porous media, polymers, clusters, etc. The geometry of these systems, often based on random processes, is complicated. The concept of fractal dimension helps to express, model, and comprehend both the geometrical complexity and its physical consequence [157–164]. Furthermore, fractal concepts and scaling laws establish similarities between correlation effects and growth phenomena in a variety of equilibrium (such as percolation) and far-from-equilibrium (such as diffusion-limited aggregation and viscous fingering) processes. This connection is of heuristic significance, because presently there is no first-principle theory to describe, for example, turbulence, turbulent transport, or diffusion-limited aggregation, which are markedly far-from-equilibrium and nonlocal processes." @default.
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- W189917811 date "2011-01-01" @default.
- W189917811 modified "2023-09-26" @default.
- W189917811 title "Fractal Objects and Scaling" @default.
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- W189917811 doi "https://doi.org/10.1007/978-3-642-20350-3_8" @default.
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