Towards Electronic Materials Fractal Theory

Starting in the last two decades of 20th Century, fractal geometry and underlying analysis became a part of material sciences. From ore distribution in Earth layers to nanotechnology, from biomedical to energy applications, fractal descriptors of physicochemical properties of matter are inevitable part of scientific research and presentations. Fractal and spectral dimensions replace the usual (geometric) dimension, multifractal distributions appear instead convention statistical ones, Weierstrass functions replace standard algebraic or trigonometric polynomials. In the fractal frame of mind, description, construction or reconstruction of fairly complicated and uneven objects such as ceramic grains, ferromagnetic domains or pores labyrinth are as easy as working with ideal Euclidean objects like circles and squares. The aim of this work is to point out the most important issues where powder materials technology, like mass density, particle density, electric charge density, energy density etc., intersects with the notion of fractal dimension and power law equations and other fractal constructions and corresponding applications.