Multilevel System Physicochemical, Multifractal and Wavelet Analysis of the Nanomaterials

Abstract

The state diagrams elements analysis of the physicochemical system states according to the suggested topological model enabled to define the self-organization principles at pattern and phase formation. The topological model elements have been studied on the ground of the undissociated compound stages being isolated from the dissociated ones with a singular point formed on the state diagram. The rational stage sequence of structures, phases and layers interfacing has been viewed from the structure and energy positions: fractal surface structure growth; an increased number of fractal base elements; fractal meander complication; layer percolation in the interfacial area; fractal degeneration. A multifractal approach to the different structures quantification has been recommended which was realized through the measure of set approximating the structure under study. Wavelet analysis has been suggested to describe the nanostructures of the materials with the features and parameters of the wavelet analysis influencing the material description being defined.

Keywords

• nanostructured materials
• clusters
• fractals
• nonequilibrium thermodynamics
• wavelet analysis