Towards Electronic Materials Fractal Theory

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