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 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. 
Iakov A. Lyashenko, Vadym N. Borysiuk, Nataliia N. Manko
cond-mat.stat-mech cond-mat.mes-hall math.NA nlin.CD