Посилання: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.
Підтримка: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.
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.