Applying fractal geometry to science is bringing about a breakthrough in our understanding of complex systems in nature that show self-similar or self-affine features. Self-similar and self-affine processes appear everywhere in nature, in galaxies and landscapes, in earthquakes and geological cracks, in aggregates and colloids, in rough surfaces and interfaces, in glassy materials and polymers, in proteins as well as in other large molecules. Fractal structures appear also in the human body; well known examples include the lung and the vascular system. Furthermore, fractal geometry is an important tool in the analysis of phenomena as diverse as rhythms in music melodies and in the human heart beat and DNA sequences. Since the pioneering work of B.B. Mandelbrot, this interdisciplinary field has expanded very rapidly. The scientific community applying fractal concepts is very broad and ranges from astronomers, geoscientists, physicists, chemists and engineers to biologists and those engaging in medical research.
Fractals play an important role in more and more different fields. The new volume Fractals in Sciences edited by A. Bunde and S. Havlin discusses various aspects of the fractal concept in biology and medicine, chemistry, polymer and geophysics. A special chapter presents 14 programs of fractal models, included on a 3 1/2" MS-DOS diskette (system requirements IBM or compatible computer, EGA or VGA graphics card, 16 colors, 1 MB RAM). There is also a MacIntosh edition available.
Armin Bunde
Anwendungen Computer-Simulation Polymerphysik Selbstorganisation chemical physics chemistry complex systems computer simulation fractals geometry interfaces polymer physics simulation surface surface physics