Complexity and criticality in Laplacian growth models
Condensed Matter
2009-10-22 v1
Abstract
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.
Cite
@article{arxiv.cond-mat/9208003,
title = {Complexity and criticality in Laplacian growth models},
author = {F. Guinea and O. Pla and E. Louis},
journal= {arXiv preprint arXiv:cond-mat/9208003},
year = {2009}
}
Comments
7pages. Figures upon request