Statistical field theory of hierarchical avalanche ensemble
نویسندگان
چکیده
Based on the synergetic approach, the theory of a single avalanche formation is presented for the simplest sandpile model. The stationary values of sand velocity, slope and avalanche intensity are derived as functions of control parameter (externally driven sandpile tilt). 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 in dependence on noise intensity. The large time asymptotic for the probability of the global avalanche appearance is derived. 64.60.Lx, 05.40+j, 64.60.Ht Typeset using REVTEX
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