Statistical analysis of self-similar behaviour in the shear induced melting model

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dc.contributor.authorLyashenko, I.A.
dc.contributor.authorBorysiuk, V.N.
dc.contributor.authorManko, N.N.
dc.date.accessioned2019-06-14T11:09:29Z
dc.date.available2019-06-14T11:09:29Z
dc.date.issued2014
dc.description.abstractThe 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.uk_UA
dc.description.sponsorshipThe 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.uk_UA
dc.identifier.citationStatistical 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.uk_UA
dc.identifier.issn1607-324X
dc.identifier.otherDOI:10.5488/CMP.17.23003
dc.identifier.otherarXiv:1405.1364
dc.identifier.otherPACS: 05.70.Ln, 47.15.gm, 62.20.Qp, 68.35.Af, 68.60.-p
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/153594
dc.language.isoenuk_UA
dc.publisherІнститут фізики конденсованих систем НАН Україниuk_UA
dc.relation.ispartofCondensed Matter Physics
dc.statuspublished earlieruk_UA
dc.titleStatistical analysis of self-similar behaviour in the shear induced melting modeluk_UA
dc.title.alternativeСтатистичний аналiз самоподiбної поведiнки в моделi зсувного плавленняuk_UA
dc.typeArticleuk_UA

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Condensed Matter Physics, 2014, № 2