Fractal Analysis of Recrystallized Structure

Boundary Fractal Analysis of Two Cube-oriented Grains in Partly Recrystallized Copper

The protrusions and retrusions observed on the recrystallizing boundaries affect the migration kinetics during recrystallization. Characterization of the boundary roughness is necessary in order to evaluate their effects. This roughness has a structure that can be characterized by fractal analysis, and in this study the so-called “Minkowski sausage” method is adopted. Hereby, two cube-oriented ...

Fractal structure of sprites

A large scale model of sprites based on a phenomenological probabilistic approach to modeling of streamer corona discharges is developed. The model utilizes the experimentally documented macroscopic properties of positive and negative streamer corona in air and allows a realistic determination of the propagation of multiple breakdown branches in a self-consistent electric field. The model resul...

Evaluation of fractal dimensions for analysis of aggregate stability

Fractal Structure of Random Matrices ∗

A multifractal analysis is performed on the universality classes of random matrices and the transition ones. Our results indicate that the eigenvector probabi;ity distribution is a linear sum of two χ 2-distribution throughout the transition between the universality ensembles of random matrix theory and Poisson.

Fractal Structure of Molecular Clouds

Compelling evidence exists to show that the structure of molecular clouds is fractal in nature. In this poster, the author reiterates that view and, in addition, asserts that not only is cloud geometry fractal, but that they also have a common characteristic they are similar in shape to the Horsehead in Orion. This shape can be described by the Julia function f(z) = z + c,where both z and c are...