Statistical analysis of self-similar behaviour in the shear induced melting model
The analysis of the system behavior under the effect of the additive noises has been done using a simple model of shear melting. The situation with low intensity of the order parameter noise has been investigated in detail, and time dependence of the order parameter has been calculated. A distinctiv...
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| Published in: | Condensed Matter Physics |
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| Date: | 2014 |
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| Format: | Article |
| Language: | English |
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Інститут фізики конденсованих систем НАН України
2014
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/153594 |
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| Cite this: | Statistical analysis of self-similar behaviour in the shear induced melting model / I.A. Lyashenko, V.N. Borysiuk, N.N. Manko // Condensed Matter Physics. — 2014. — Т. 17, № 2. — С. 23003:1-11. — Бібліогр.: 29 назв. — англ. |
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Lyashenko, I.A. Borysiuk, V.N. Manko, N.N. 2019-06-14T11:09:29Z 2019-06-14T11:09:29Z 2014 Statistical analysis of self-similar behaviour in the shear induced melting model / I.A. Lyashenko, V.N. Borysiuk, N.N. Manko // Condensed Matter Physics. — 2014. — Т. 17, № 2. — С. 23003:1-11. — Бібліогр.: 29 назв. — англ. 1607-324X DOI:10.5488/CMP.17.23003 arXiv:1405.1364 PACS: 05.70.Ln, 47.15.gm, 62.20.Qp, 68.35.Af, 68.60.-p https://nasplib.isofts.kiev.ua/handle/123456789/153594 The analysis of the system behavior under the effect of the additive noises has been done using a simple model of shear melting. The situation with low intensity of the order parameter noise has been investigated in detail, and time dependence of the order parameter has been calculated. A distinctive feature of the obtained dependence is power-law distribution and self-similarity. The generalized Hurst exponent of the time series has been found within multifractal detrended fluctuation analysis. It is shown that the self-similarity of the time series increases when the noise intensity reduces. The paper was carried out under financial support of the Fundamental Researches State Fund of Ukraine in the framework of Grant of President of Ukraine GP/F49/044 “Thermodynamic theory of slippage on grain boundaries in problem of nanostructured metals superplasticity” (No. 0113U007248). Some results were partially obtained at support of the Ministry of Education and Science of Ukraine within the framework of the project “Modelling of friction of metal nanoparticles and boundary liquid films which interact with atomically flat surfaces” (No. 0112U001380). The work was partially carried out during the stay of I.A.L. in the Forschungszentrum Jülich (Germany) with a research visit due to the invitation by N.J. Persson. en Інститут фізики конденсованих систем НАН України Condensed Matter Physics Statistical analysis of self-similar behaviour in the shear induced melting model Статистичний аналiз самоподiбної поведiнки в моделi зсувного плавлення Article published earlier |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
| title |
Statistical analysis of self-similar behaviour in the shear induced melting model |
| spellingShingle |
Statistical analysis of self-similar behaviour in the shear induced melting model Lyashenko, I.A. Borysiuk, V.N. Manko, N.N. |
| title_short |
Statistical analysis of self-similar behaviour in the shear induced melting model |
| title_full |
Statistical analysis of self-similar behaviour in the shear induced melting model |
| title_fullStr |
Statistical analysis of self-similar behaviour in the shear induced melting model |
| title_full_unstemmed |
Statistical analysis of self-similar behaviour in the shear induced melting model |
| title_sort |
statistical analysis of self-similar behaviour in the shear induced melting model |
| author |
Lyashenko, I.A. Borysiuk, V.N. Manko, N.N. |
| author_facet |
Lyashenko, I.A. Borysiuk, V.N. Manko, N.N. |
| publishDate |
2014 |
| language |
English |
| container_title |
Condensed Matter Physics |
| publisher |
Інститут фізики конденсованих систем НАН України |
| format |
Article |
| title_alt |
Статистичний аналiз самоподiбної поведiнки в моделi зсувного плавлення |
| description |
The analysis of the system behavior under the effect of the additive noises has been done using a simple model of shear melting. The situation with low intensity of the order parameter noise has been investigated in detail, and time dependence of the order parameter has been calculated. A distinctive feature of the obtained dependence is power-law distribution and self-similarity. The generalized Hurst exponent of the time series has been found within multifractal detrended fluctuation analysis. It is shown that the self-similarity of the time series increases when the noise intensity reduces.
|
| issn |
1607-324X |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/153594 |
| citation_txt |
Statistical analysis of self-similar behaviour in the shear induced melting model / I.A. Lyashenko, V.N. Borysiuk, N.N. Manko // Condensed Matter Physics. — 2014. — Т. 17, № 2. — С. 23003:1-11. — Бібліогр.: 29 назв. — англ. |
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2025-12-07T18:11:50Z |
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