Scale-free nonlinear conservative cascades and their stationary spectra
Disordered Systems and Neural Networks
2007-05-23 v1 Other Condensed Matter
Abstract
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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Cite
@article{arxiv.cond-mat/0407421,
title = {Scale-free nonlinear conservative cascades and their stationary spectra},
author = {Dmitri O. Pushkin and Hassan Aref},
journal= {arXiv preprint arXiv:cond-mat/0407421},
year = {2007}
}
Comments
10 pages, 1 table