Statistical analysis of self-similar behaviour in the shear induced melting model
Statistical Mechanics
2014-07-09 v2 Mesoscale and Nanoscale Physics
Numerical Analysis
Chaotic Dynamics
Abstract
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.
Keywords
Cite
@article{arxiv.1405.1364,
title = {Statistical analysis of self-similar behaviour in the shear induced melting model},
author = {Iakov A. Lyashenko and Vadym N. Borysiuk and Nataliia N. Manko},
journal= {arXiv preprint arXiv:1405.1364},
year = {2014}
}
Comments
11 pages, 9 figures, 29 references