Fluctuations, anisotropy and scaling in growth processes

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Abstract (may include machine translation)

Some recent developments in the physics of two-dimensional growth processes are reviewed. The concept of effective anisotropy is used to explain tip stabilization and the non-trivial role of the driving force in Laplacian growth. Related experiments on viscous fingering are described. In diffusion-limited aggregation on a lattice, the anisotropy is suppressed by noise and very large clusters are needed to see its effect. By introducing the method of noise reduction, the asymptotic region is reached much earlier and a cross-over in the exponent of the radius of gyration takes place. In the case of the Eden model the anisotropy is no more relevant in the above sense but noise reduction is still useful because it improves the scaling behaviour and enables one to separate the contribution of the intrinsic width from the capillary waves.

Original languageEnglish
Pages (from-to)729-742
Number of pages14
JournalPhilosophical Magazine B: Physics of Condensed Matter; Statistical Mechanics, Electronic, Optical and Magnetic Properties
Volume56
Issue number6
DOIs
StatePublished - Dec 1987
Externally publishedYes

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