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Field theory of avalanche formation

Alexander I. Olemskoi·Alexei V. Khomenko
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Abstract

Self-organizing system is studied whose behavior is governed by field of an order parameter, a fluctuation amplitude of conjugate field and a couple of Grassmannian conjugated fields that define the entropy as a control parameter. Within the framework of self-consistent approach the dependencies of macro- and microscopic susceptibilities as well as memory and nonergodicity parameters are determined as a functions of the intensities of thermal and quenched disorders. Making use of the sandpile model shows that proposed scheme determines the conditions of avalanches formation in self-organized criticality phenomena.

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Alexander I. Olemskoi, Alexei V. Khomenko. 2000-08-08. Field theory of avalanche formation. https://arxiv.org/abs/cond-mat/0008121

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