Field theory of avalanche formation

Details Field theory of avalanche formation Field theory of avalanche formation

2000-08-08

arxiv.org/abs/cond-mat/0008121v1

Physics

Condensed Matter

Statistical Mechanics

17 pages, 6 figures, REVTeX

Scientific paper

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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