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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Bibliographic Details
Main Authors: I.A. Lyashenko, V.N. Borysiuk, N.N. Manko
Format: Article
Language:English
Published: Institute for Condensed Matter Physics 2014-06-01
Series:Condensed Matter Physics
Subjects:
Online Access:http://dx.doi.org/10.5488/CMP.17.23003
Description
Summary: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