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...

Fractal modifications of Fick?s laws are discussed by taking into account the electrode?s porous structure, and a fractal derivative model for diffusion-reaction process in thin film an amperometric enzymatic reaction is established. Particular attention paid to giving intuitive grasp its variational principle solution procedure. Extremely fast or extremely slow diffusion can be achieved suitab...

We describe the fractal solid by a special continuous medium model. We propose to describe the fractal solid by a fractional continuous model, where all characteristics and fields are defined everywhere in the volume but they follow some generalized equations which are derived by using integrals of fractional order. The order of fractional integral can be equal to the fractal mass dimension of ...

A fractal set which corresponds to the six-vertex model has been obtained and a relationship between the free energy of the six-vertex model and the fractal dimension of the fractal set was established. Notions which correspond to the transfer matrix and the n-equivalence has been found in the area of the fractal geometry. This correspondence can be generalized to the case of the models suitabl...

This review first gives an overview on the concept of fractal geometry with definitions and explanations of the most fundamental properties of fractal structures and processes like self-similarity, power law scaling relationship, scale invariance, scaling range and fractal dimensions. Having laid down the grounds of the basics in terminology and mathematical formalism, the authors systematicall...