STATISTICAL FIELD THEORY OF HIERARCHICAL AVALANCHE ENSEMBLE

Alexander Olemskoi (Personal webpage)

In recent years considerable study has been given to the theory of self-organized criticality (SOC) that explains avalanche dynamics in a variety of systems such as ensemble of grains of sand moving along increasingly tilted surface (sandpile model [1]), intermittency in biological evolution [2], earthquakes and propagation of forest-fires, depinning transitions in random medium and so on (see [3]). The above models had been mostly studied by making use of scaling{type arguments supplemented with extensive computer simulations [4]. By contrast, in this work we put forward the related statistical theory that deals with avalanche ensemble in the course of SOC progressing.