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Deneralized potential function and self-organizing critical exponent in granular system

In order to describe the stability and the characteristics of self-organizing critical phase change in the granular system,a D-dimension sand pile model was established.Based on the characteristics of the borderline point in the granular system and taken the fluctuation situations into account,an equation describing the sand pile model was founded using the generalized langevin equation.Generalized potential function showing the stability characteristic of the granular system was obtained through analysis and deriving.Compared with the common style of the former generalized potential function,the exponent of self-organizing critical in the granular system was obtained.The conclusion we got could provide the important basis for people to study the phenomena and disaster in nature.