Description
Book SynopsisDuring the last couple of years, fractals have been shown to represent the common aspects of many complex processes occurring in an unusually diverse range of fields including biology, chemistry, earth sciences, physics and technology. Using fractal geometry as a language, it has become possible to get a deeper insight into previously intractable problems. Among many others, a better understanding of growth phenomena, turbulence, iteractive functions, colloidal aggregation, biological pattern formation and inhomogenous materials has emerged through the application of such concepts as scale invariance, self-affinity and multifractality.This volume contains a selection of high quality papers that discuss the latest developments in the research of fractals. It is divided into 5 sections and contains altogether 64 papers. Each paper is written by a well known author or authors in the field. Beginning each section is a short introduction, written by a prominent author, which gives a brief overview of the topics discussed in the respective sections.
Table of ContentsPower Law Distribution of River Basin Sizes (H Takayasu); The Fixed Scale Transformation: Status and Perspective (L Pietronereo); Structures Generated by Model Nonlinear Hamiltonians Based on Ocean Waves (J Willemsen); Self-Similar Colony Morphogenesis by Bacteria as the Experimental Model of Fractal Growth by a Cell Population (T Matsuyama et al); Vibrational Problem of Fractal Networks (T Nakayama); Fractal Tectonics and Erosion (D L Turcotte); Examples of Fractals in Soil Mechanics (H J Herrmann et al); Granular Cocktail Rotated and Shaken (G Baumann et al); Critical Exponents of Elasticity in a Continuum Percolation System (K Maruyama et al); Statistics of Fracture Surfaces (J Planes et al); Fractal Analyses of Anisotropic Fracture Surfaces (B L Cox & J S Y Wang); Effect of High Magnetic Fields on Fractal Growth of Silver Metal-Forest (S Okubo et al).
