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 depen-dence 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, Fokker-Planck equation PACS: 05.70.Ln, 47.15.gm, 62.20.Qp, 68.35.Af, 68.60.–p 1
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