Complexity and criticality in Laplacian growth models

Details Complexity and criticality in Laplacian growth models Complexity and criticality in Laplacian growth models

1992-08-07

arxiv.org/abs/cond-mat/9208003v1

Physics

Condensed Matter

7pages. Figures upon request

Scientific paper

10.1209/0295-5075/24/9/001

We analyze the dynamical evolution of systems which obey simple growth laws, like diffusion limited aggregation or dielectric breakdown. We show that, if the developing patterns is sufficiently complex, a scale invariant noise spectrum is generated, in agreement with the hypothesis that the system is in a self organized critical state. The intrinsic noise generated in the evolution is shown to be independent of the (extrinsic) stochastic aspects of the growth. Instead, it is related to the complexity of the generated pattern.

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