Scale-free nonlinear conservative cascades and their stationary spectra

Details Scale-free nonlinear conservative cascades and their stationary spectra Scale-free nonlinear conservative cascades and their stationary spectra

2004-07-16

arxiv.org/abs/cond-mat/0407421v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

10 pages, 1 table

Scientific paper

We show that a variety of complex processes can be viewed from the unified standpoint of scale-free nonlinear conservative cascades. Examples include certain turbulence models, percolation, cluster coagulation (aggregation) and fragmentation, `coarse-grained' forest fire model of self-organized criticality, and scale-free network growth. We classify such cascades by the values of three indices, and show how power-law steady spectra may arise. The power-law exponent is proven to depend only on the values of the three indices by a simple algebraic formula.

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