Field theory of avalanche formation
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...
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Zusammenfassung: | 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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DOI: | 10.48550/arxiv.cond-mat/0008121 |