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Field Diffusion and Plasma Diffusion,example of a quasi-two-dimensional biological growth process which is diffusion-controlled (diffusion of nutrients towards the colony). The patterns they have observed (fractals — DLA like [3, 4, 5, 6, 7], tip-splitting — DBM like [8, 9] and compact — Eden like [10]) are very similar to patterns whi

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https://doi.org/10.1007/978-94-011-4203-8dividual amoebae aggregate upon starvation and form a rudimentary multi-cellular slug as a precursor to stalk/spore differentiation and sporulation. Here, we discuss this system using recently developed ideas concerning waves (and their stability) in excitable media. We show that the onset of stream

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Plasma Astrophysics and Cosmologying various objects in nature (Mandelbrot 1982). Later it has been shown that fractals have numerous applications in several branches of sciences, including specific examples from physics (Meakin 1987, Vicsek 1989).

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Terrence M. Murphy,Han Asard,Andrew R. Cross study the probability distribution of the height fluctuations in d = 1 + 1 by mapping the surface to a Lévy walk. We also review numerical studies for the effect of long-range correlated noise on (i) the KPZ equation and the related directed-polymer (DP) problem and (H) the ballistic deposition (BD

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Kyoji Nishikawa,Masahiro Wakataniugh surface or interface.. Examples of this type include vacuum-deposited thin films. at low surface mobility and bacteria colonies. on an agar plate. Recent theoretical studies. of the roughness of a moving surface have focused on the analysis and simulation of models with simple kinetic growth rul