Title: Statistical analysis of self-similar behaviour in the shear induced melting model
Author(s):

	I.A. Lyashenko (Sumy State University, 2 Rimskii-Korsakov St., 40007 Sumy, Ukraine ; Peter Grünberg Institut-1, FZ-Jülich, 52425 Jülich, Germany) ,
	V.N. Borysiuk (Sumy State University, 2 Rimskii-Korsakov St., 40007 Sumy, Ukraine ; A.J.Drexel Nanomaterials Institute, Drexel University, 3141 Chestnut St., Philadelphia, PA 19104, USA) ,
	N.N. Manko (Sumy State University, 2 Rimskii-Korsakov St., 40007 Sumy, Ukraine)

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.

Key words: shear melting, additive noise, self-similarity, multifractal fluctuation analysis,
PACS: 05.70.Ln, 47.15.gm, 62.20.Qp, 68.35.Af, 68.60.-p

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