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Statistical theory of hierarchical avalanche ensemble

Alexander I. Olemskoi
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Abstract

The statistical ensemble of avalanche intensities is considered to investigate diffusion in ultrametric space of hierarchically subordinated avalanches. The stationary intensity distribution and the steady-state current are obtained. The critical avalanche intensity needed to initiate the global avalanche formation is calculated depending on noise intensity. The large time asymptotic for the probability of the global avalanche appearance is derived.

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Alexander I. Olemskoi. 1999-07-26. Statistical theory of hierarchical avalanche ensemble. https://arxiv.org/abs/cond-mat/9907399

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