Universality and self-similar behaviour of non-equilibrium systems with non-Fickian diffusion
Analytical approaches describing non-Fickian diffusion in complex systems are presented. The corresponding methods are applied to the study of statistical properties of pyramidal islands formation with interacting adsorbate at epitaxial growth. Using the generalized kinetic approach we consider univ...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Institute for Condensed Matter Physics
2014-09-01
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| Series: | Condensed Matter Physics |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.5488/CMP.17.33004 |
| _version_ | 1819062967323328512 |
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| author | D.O. Kharchenko V.O. Kharchenko S.V. Kokhan |
| author_facet | D.O. Kharchenko V.O. Kharchenko S.V. Kokhan |
| author_sort | D.O. Kharchenko |
| collection | DOAJ |
| description | Analytical approaches describing non-Fickian diffusion in complex systems are presented. The corresponding methods are applied to the study of statistical properties of pyramidal islands formation with interacting adsorbate at epitaxial growth. Using the generalized kinetic approach we consider universality, scaling dynamics and fractal properties of pyramidal islands growth. In the framework of generalized kinetics, we propose a theoretical model to examine the numerically obtained data for averaged islands size, the number of islands and the corresponding universal distribution over the island size. |
| first_indexed | 2024-12-21T15:07:11Z |
| format | Article |
| id | doaj.art-d12a2b5c675441f9abf097a76463333b |
| institution | Directory Open Access Journal |
| issn | 1607-324X |
| language | English |
| last_indexed | 2024-12-21T15:07:11Z |
| publishDate | 2014-09-01 |
| publisher | Institute for Condensed Matter Physics |
| record_format | Article |
| series | Condensed Matter Physics |
| spelling | doaj.art-d12a2b5c675441f9abf097a76463333b2022-12-21T18:59:24ZengInstitute for Condensed Matter PhysicsCondensed Matter Physics1607-324X2014-09-011733300410.5488/CMP.17.33004Universality and self-similar behaviour of non-equilibrium systems with non-Fickian diffusion D.O. Kharchenko V.O. Kharchenko S.V. Kokhan Analytical approaches describing non-Fickian diffusion in complex systems are presented. The corresponding methods are applied to the study of statistical properties of pyramidal islands formation with interacting adsorbate at epitaxial growth. Using the generalized kinetic approach we consider universality, scaling dynamics and fractal properties of pyramidal islands growth. In the framework of generalized kinetics, we propose a theoretical model to examine the numerically obtained data for averaged islands size, the number of islands and the corresponding universal distribution over the island size.http://dx.doi.org/10.5488/CMP.17.33004complex systemsnonlinear diffusionpattern formationfractals |
| spellingShingle | D.O. Kharchenko V.O. Kharchenko S.V. Kokhan Universality and self-similar behaviour of non-equilibrium systems with non-Fickian diffusion Condensed Matter Physics complex systems nonlinear diffusion pattern formation fractals |
| title | Universality and self-similar behaviour of non-equilibrium systems with non-Fickian diffusion |
| title_full | Universality and self-similar behaviour of non-equilibrium systems with non-Fickian diffusion |
| title_fullStr | Universality and self-similar behaviour of non-equilibrium systems with non-Fickian diffusion |
| title_full_unstemmed | Universality and self-similar behaviour of non-equilibrium systems with non-Fickian diffusion |
| title_short | Universality and self-similar behaviour of non-equilibrium systems with non-Fickian diffusion |
| title_sort | universality and self similar behaviour of non equilibrium systems with non fickian diffusion |
| topic | complex systems nonlinear diffusion pattern formation fractals |
| url | http://dx.doi.org/10.5488/CMP.17.33004 |
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