Multilevel System Physicochemical, Multifractal and Wavelet Analysis of the Nanomaterials
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 stage...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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National Academy of Sciences of Belarus, State Scientific Institution “The Joint Institute of Mechanical Engineering"
2012-03-01
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| Series: | Механика машин, механизмов и материалов |
| Subjects: | |
| Online Access: | http://mmmm.by/en/readers-en/archive-room-en?layout=edit&id=421 |
| _version_ | 1798034263090659328 |
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| author | P.A. Vitiaz A.F. Ilyuschenko M.L. Kheifetz K.A. Solntsev S.M. Barinov A.G. Kolmakov |
| author_facet | P.A. Vitiaz A.F. Ilyuschenko M.L. Kheifetz K.A. Solntsev S.M. Barinov A.G. Kolmakov |
| author_sort | P.A. Vitiaz |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-11T20:41:56Z |
| format | Article |
| id | doaj.art-aaaa457fcbe34ae6b9186d5bc61827d3 |
| institution | Directory Open Access Journal |
| issn | 1995-0470 2518-1475 |
| language | English |
| last_indexed | 2024-04-11T20:41:56Z |
| publishDate | 2012-03-01 |
| publisher | National Academy of Sciences of Belarus, State Scientific Institution “The Joint Institute of Mechanical Engineering" |
| record_format | Article |
| series | Механика машин, механизмов и материалов |
| spelling | doaj.art-aaaa457fcbe34ae6b9186d5bc61827d32022-12-22T04:04:12ZengNational Academy of Sciences of Belarus, State Scientific Institution “The Joint Institute of Mechanical Engineering"Механика машин, механизмов и материалов1995-04702518-14752012-03-011(18)5363Multilevel System Physicochemical, Multifractal and Wavelet Analysis of the NanomaterialsP.A. Vitiaz 0https://orcid.org/0000-0001-9950-2120A.F. Ilyuschenko 1M.L. Kheifetz 2K.A. Solntsev 3S.M. Barinov 4A.G. Kolmakov 5https://orcid.org/0000-0002-4907-951XJoint Institute of Mechanical Engineering of the NAS of BelarusSSPA Powder Metallurgy of NAS of BelarusSSPA "Center" of the NAS of BelarusInstitute of Metallurgy and Materials Science n.a. A.A. Baikov of the RASInstitute of Metallurgy and Materials Science n.a. A.A. Baikov of the RASInstitute of Metallurgy and Materials Science n.a. A.A. Baikov of the RASThe 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.http://mmmm.by/en/readers-en/archive-room-en?layout=edit&id=421nanostructured materialsclustersfractalsnonequilibrium thermodynamicswavelet analysis |
| spellingShingle | P.A. Vitiaz A.F. Ilyuschenko M.L. Kheifetz K.A. Solntsev S.M. Barinov A.G. Kolmakov Multilevel System Physicochemical, Multifractal and Wavelet Analysis of the Nanomaterials Механика машин, механизмов и материалов nanostructured materials clusters fractals nonequilibrium thermodynamics wavelet analysis |
| title | Multilevel System Physicochemical, Multifractal and Wavelet Analysis of the Nanomaterials |
| title_full | Multilevel System Physicochemical, Multifractal and Wavelet Analysis of the Nanomaterials |
| title_fullStr | Multilevel System Physicochemical, Multifractal and Wavelet Analysis of the Nanomaterials |
| title_full_unstemmed | Multilevel System Physicochemical, Multifractal and Wavelet Analysis of the Nanomaterials |
| title_short | Multilevel System Physicochemical, Multifractal and Wavelet Analysis of the Nanomaterials |
| title_sort | multilevel system physicochemical multifractal and wavelet analysis of the nanomaterials |
| topic | nanostructured materials clusters fractals nonequilibrium thermodynamics wavelet analysis |
| url | http://mmmm.by/en/readers-en/archive-room-en?layout=edit&id=421 |
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