Notice of RetractionMultifractal spectrum analysis of the sand-pile model

Notice of Retraction

After careful and considered review of the content of this paper by a duly constituted expert committee, this paper has been found to be in violation of IEEE´s Publication Principles.

We hereby retract the content of this paper. Reasonable effort should be made to remove all past references to this paper.

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The principle of multifractal and the experiment of the sand-pile are briefly reviewed. The temporal and spatial fractal structure of the sand-pile system is analyzed with the technique of multifractal. The generalized dimension and the strange exponent are computed. Also the multifractal spectrums are educed in the paper. It is concluded that long-range correlation is present in the evolvement including time and space. The simplified multifractal dynamical model of the sand-pile is introduced to analyze the evolvement of the sand-pile. The result shows that their characteristics are same. The merit of the technique of multifractal spectrum analysis for researching sand-pile is illustrated.